Compartmental models with multiple sources of stochastic variability: The one-compartment, time invariant hazard rate case
Abstract Previous stochastic compartmental models have introduced the primary source of stochasticity through either a probabilistic transfer mechanism or a random rate coefficient. This paper combines these primary sources into a unified stochastic compartmental model. Twelve different stochastic m...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Matis, James H. [verfasserIn] |
|---|
| Format: |
Artikel |
|---|---|
| Sprache: |
Englisch |
| Erschienen: |
1979 |
|---|
| Schlagwörter: |
|---|
| Anmerkung: |
© Society of Mathematical Biology 1979 |
|---|
| Übergeordnetes Werk: |
Enthalten in: Bulletin of mathematical biology - Kluwer Academic Publishers, 1973, 41(1979), 4 vom: Juli, Seite 491-515 |
|---|---|
| Übergeordnetes Werk: |
volume:41 ; year:1979 ; number:4 ; month:07 ; pages:491-515 |
| Links: |
|---|
| DOI / URN: |
10.1007/BF02458326 |
|---|
| Katalog-ID: |
OLC2087058873 |
|---|
| LEADER | 01000caa a22002652 4500 | ||
|---|---|---|---|
| 001 | OLC2087058873 | ||
| 003 | DE-627 | ||
| 005 | 20230401102959.0 | ||
| 007 | tu | ||
| 008 | 230302s1979 xx ||||| 00| ||eng c | ||
| 024 | 7 | |a 10.1007/BF02458326 |2 doi | |
| 035 | |a (DE-627)OLC2087058873 | ||
| 035 | |a (DE-He213)BF02458326-p | ||
| 040 | |a DE-627 |b ger |c DE-627 |e rakwb | ||
| 041 | |a eng | ||
| 082 | 0 | 4 | |a 570 |a 510 |q VZ |
| 084 | |a 12 |2 ssgn | ||
| 084 | |a BIODIV |q DE-30 |2 fid | ||
| 084 | |a 42.00 |2 bkl | ||
| 100 | 1 | |a Matis, James H. |e verfasserin |4 aut | |
| 245 | 1 | 0 | |a Compartmental models with multiple sources of stochastic variability: The one-compartment, time invariant hazard rate case |
| 264 | 1 | |c 1979 | |
| 336 | |a Text |b txt |2 rdacontent | ||
| 337 | |a ohne Hilfsmittel zu benutzen |b n |2 rdamedia | ||
| 338 | |a Band |b nc |2 rdacarrier | ||
| 500 | |a © Society of Mathematical Biology 1979 | ||
| 520 | |a Abstract Previous stochastic compartmental models have introduced the primary source of stochasticity through either a probabilistic transfer mechanism or a random rate coefficient. This paper combines these primary sources into a unified stochastic compartmental model. Twelve different stochastic models are produced by combining various sources of stochasticity and the mean value and the covariance for each of the twelve models is derived. The covariance of each model has a different form whereby the individual sources of stochasticity are identificable from data. The various stochastic models are illustrated for certain specified distributions of the rate coefficient and of the initial count. Several properties of the models are derived and discussed. Among these is the fact that the expected count of a model with a random rate coefficient will always exceed the expected count of a model with a fixed coefficient evaluated at the mean rate. A general modeling strategy for the onecompartment, time invariant hazard rate is also proposed. | ||
| 650 | 4 | |a Compartmental Model | |
| 650 | 4 | |a Rate Coefficient | |
| 650 | 4 | |a Stochastic Theory | |
| 650 | 4 | |a Compartmental Analysis | |
| 650 | 4 | |a Random Initial Condition | |
| 700 | 1 | |a Tolley, H. Dennis |4 aut | |
| 773 | 0 | 8 | |i Enthalten in |t Bulletin of mathematical biology |d Kluwer Academic Publishers, 1973 |g 41(1979), 4 vom: Juli, Seite 491-515 |w (DE-627)129391719 |w (DE-600)184905-0 |w (DE-576)014776863 |x 0092-8240 |7 nnns |
| 773 | 1 | 8 | |g volume:41 |g year:1979 |g number:4 |g month:07 |g pages:491-515 |
| 856 | 4 | 1 | |u https://doi.org/10.1007/BF02458326 |z lizenzpflichtig |3 Volltext |
| 912 | |a GBV_USEFLAG_A | ||
| 912 | |a SYSFLAG_A | ||
| 912 | |a GBV_OLC | ||
| 912 | |a FID-BIODIV | ||
| 912 | |a SSG-OLC-MAT | ||
| 912 | |a SSG-OPC-MAT | ||
| 912 | |a GBV_ILN_11 | ||
| 912 | |a GBV_ILN_21 | ||
| 912 | |a GBV_ILN_24 | ||
| 912 | |a GBV_ILN_32 | ||
| 912 | |a GBV_ILN_40 | ||
| 912 | |a GBV_ILN_65 | ||
| 912 | |a GBV_ILN_70 | ||
| 912 | |a GBV_ILN_2010 | ||
| 912 | |a GBV_ILN_2015 | ||
| 912 | |a GBV_ILN_2016 | ||
| 912 | |a GBV_ILN_4012 | ||
| 912 | |a GBV_ILN_4029 | ||
| 912 | |a GBV_ILN_4035 | ||
| 912 | |a GBV_ILN_4046 | ||
| 912 | |a GBV_ILN_4082 | ||
| 912 | |a GBV_ILN_4103 | ||
| 912 | |a GBV_ILN_4219 | ||
| 912 | |a GBV_ILN_4310 | ||
| 912 | |a GBV_ILN_4323 | ||
| 936 | b | k | |a 42.00 |q VZ |
| 951 | |a AR | ||
| 952 | |d 41 |j 1979 |e 4 |c 07 |h 491-515 | ||
| author_variant |
j h m jh jhm h d t hd hdt |
|---|---|
| matchkey_str |
article:00928240:1979----::oprmnamdlwtmlilsucsftcatcaiblttencmatet |
| hierarchy_sort_str |
1979 |
| bklnumber |
42.00 |
| publishDate |
1979 |
| allfields |
10.1007/BF02458326 doi (DE-627)OLC2087058873 (DE-He213)BF02458326-p DE-627 ger DE-627 rakwb eng 570 510 VZ 12 ssgn BIODIV DE-30 fid 42.00 bkl Matis, James H. verfasserin aut Compartmental models with multiple sources of stochastic variability: The one-compartment, time invariant hazard rate case 1979 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Society of Mathematical Biology 1979 Abstract Previous stochastic compartmental models have introduced the primary source of stochasticity through either a probabilistic transfer mechanism or a random rate coefficient. This paper combines these primary sources into a unified stochastic compartmental model. Twelve different stochastic models are produced by combining various sources of stochasticity and the mean value and the covariance for each of the twelve models is derived. The covariance of each model has a different form whereby the individual sources of stochasticity are identificable from data. The various stochastic models are illustrated for certain specified distributions of the rate coefficient and of the initial count. Several properties of the models are derived and discussed. Among these is the fact that the expected count of a model with a random rate coefficient will always exceed the expected count of a model with a fixed coefficient evaluated at the mean rate. A general modeling strategy for the onecompartment, time invariant hazard rate is also proposed. Compartmental Model Rate Coefficient Stochastic Theory Compartmental Analysis Random Initial Condition Tolley, H. Dennis aut Enthalten in Bulletin of mathematical biology Kluwer Academic Publishers, 1973 41(1979), 4 vom: Juli, Seite 491-515 (DE-627)129391719 (DE-600)184905-0 (DE-576)014776863 0092-8240 nnns volume:41 year:1979 number:4 month:07 pages:491-515 https://doi.org/10.1007/BF02458326 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC FID-BIODIV SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_21 GBV_ILN_24 GBV_ILN_32 GBV_ILN_40 GBV_ILN_65 GBV_ILN_70 GBV_ILN_2010 GBV_ILN_2015 GBV_ILN_2016 GBV_ILN_4012 GBV_ILN_4029 GBV_ILN_4035 GBV_ILN_4046 GBV_ILN_4082 GBV_ILN_4103 GBV_ILN_4219 GBV_ILN_4310 GBV_ILN_4323 42.00 VZ AR 41 1979 4 07 491-515 |
| spelling |
10.1007/BF02458326 doi (DE-627)OLC2087058873 (DE-He213)BF02458326-p DE-627 ger DE-627 rakwb eng 570 510 VZ 12 ssgn BIODIV DE-30 fid 42.00 bkl Matis, James H. verfasserin aut Compartmental models with multiple sources of stochastic variability: The one-compartment, time invariant hazard rate case 1979 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Society of Mathematical Biology 1979 Abstract Previous stochastic compartmental models have introduced the primary source of stochasticity through either a probabilistic transfer mechanism or a random rate coefficient. This paper combines these primary sources into a unified stochastic compartmental model. Twelve different stochastic models are produced by combining various sources of stochasticity and the mean value and the covariance for each of the twelve models is derived. The covariance of each model has a different form whereby the individual sources of stochasticity are identificable from data. The various stochastic models are illustrated for certain specified distributions of the rate coefficient and of the initial count. Several properties of the models are derived and discussed. Among these is the fact that the expected count of a model with a random rate coefficient will always exceed the expected count of a model with a fixed coefficient evaluated at the mean rate. A general modeling strategy for the onecompartment, time invariant hazard rate is also proposed. Compartmental Model Rate Coefficient Stochastic Theory Compartmental Analysis Random Initial Condition Tolley, H. Dennis aut Enthalten in Bulletin of mathematical biology Kluwer Academic Publishers, 1973 41(1979), 4 vom: Juli, Seite 491-515 (DE-627)129391719 (DE-600)184905-0 (DE-576)014776863 0092-8240 nnns volume:41 year:1979 number:4 month:07 pages:491-515 https://doi.org/10.1007/BF02458326 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC FID-BIODIV SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_21 GBV_ILN_24 GBV_ILN_32 GBV_ILN_40 GBV_ILN_65 GBV_ILN_70 GBV_ILN_2010 GBV_ILN_2015 GBV_ILN_2016 GBV_ILN_4012 GBV_ILN_4029 GBV_ILN_4035 GBV_ILN_4046 GBV_ILN_4082 GBV_ILN_4103 GBV_ILN_4219 GBV_ILN_4310 GBV_ILN_4323 42.00 VZ AR 41 1979 4 07 491-515 |
| allfields_unstemmed |
10.1007/BF02458326 doi (DE-627)OLC2087058873 (DE-He213)BF02458326-p DE-627 ger DE-627 rakwb eng 570 510 VZ 12 ssgn BIODIV DE-30 fid 42.00 bkl Matis, James H. verfasserin aut Compartmental models with multiple sources of stochastic variability: The one-compartment, time invariant hazard rate case 1979 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Society of Mathematical Biology 1979 Abstract Previous stochastic compartmental models have introduced the primary source of stochasticity through either a probabilistic transfer mechanism or a random rate coefficient. This paper combines these primary sources into a unified stochastic compartmental model. Twelve different stochastic models are produced by combining various sources of stochasticity and the mean value and the covariance for each of the twelve models is derived. The covariance of each model has a different form whereby the individual sources of stochasticity are identificable from data. The various stochastic models are illustrated for certain specified distributions of the rate coefficient and of the initial count. Several properties of the models are derived and discussed. Among these is the fact that the expected count of a model with a random rate coefficient will always exceed the expected count of a model with a fixed coefficient evaluated at the mean rate. A general modeling strategy for the onecompartment, time invariant hazard rate is also proposed. Compartmental Model Rate Coefficient Stochastic Theory Compartmental Analysis Random Initial Condition Tolley, H. Dennis aut Enthalten in Bulletin of mathematical biology Kluwer Academic Publishers, 1973 41(1979), 4 vom: Juli, Seite 491-515 (DE-627)129391719 (DE-600)184905-0 (DE-576)014776863 0092-8240 nnns volume:41 year:1979 number:4 month:07 pages:491-515 https://doi.org/10.1007/BF02458326 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC FID-BIODIV SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_21 GBV_ILN_24 GBV_ILN_32 GBV_ILN_40 GBV_ILN_65 GBV_ILN_70 GBV_ILN_2010 GBV_ILN_2015 GBV_ILN_2016 GBV_ILN_4012 GBV_ILN_4029 GBV_ILN_4035 GBV_ILN_4046 GBV_ILN_4082 GBV_ILN_4103 GBV_ILN_4219 GBV_ILN_4310 GBV_ILN_4323 42.00 VZ AR 41 1979 4 07 491-515 |
| allfieldsGer |
10.1007/BF02458326 doi (DE-627)OLC2087058873 (DE-He213)BF02458326-p DE-627 ger DE-627 rakwb eng 570 510 VZ 12 ssgn BIODIV DE-30 fid 42.00 bkl Matis, James H. verfasserin aut Compartmental models with multiple sources of stochastic variability: The one-compartment, time invariant hazard rate case 1979 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Society of Mathematical Biology 1979 Abstract Previous stochastic compartmental models have introduced the primary source of stochasticity through either a probabilistic transfer mechanism or a random rate coefficient. This paper combines these primary sources into a unified stochastic compartmental model. Twelve different stochastic models are produced by combining various sources of stochasticity and the mean value and the covariance for each of the twelve models is derived. The covariance of each model has a different form whereby the individual sources of stochasticity are identificable from data. The various stochastic models are illustrated for certain specified distributions of the rate coefficient and of the initial count. Several properties of the models are derived and discussed. Among these is the fact that the expected count of a model with a random rate coefficient will always exceed the expected count of a model with a fixed coefficient evaluated at the mean rate. A general modeling strategy for the onecompartment, time invariant hazard rate is also proposed. Compartmental Model Rate Coefficient Stochastic Theory Compartmental Analysis Random Initial Condition Tolley, H. Dennis aut Enthalten in Bulletin of mathematical biology Kluwer Academic Publishers, 1973 41(1979), 4 vom: Juli, Seite 491-515 (DE-627)129391719 (DE-600)184905-0 (DE-576)014776863 0092-8240 nnns volume:41 year:1979 number:4 month:07 pages:491-515 https://doi.org/10.1007/BF02458326 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC FID-BIODIV SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_21 GBV_ILN_24 GBV_ILN_32 GBV_ILN_40 GBV_ILN_65 GBV_ILN_70 GBV_ILN_2010 GBV_ILN_2015 GBV_ILN_2016 GBV_ILN_4012 GBV_ILN_4029 GBV_ILN_4035 GBV_ILN_4046 GBV_ILN_4082 GBV_ILN_4103 GBV_ILN_4219 GBV_ILN_4310 GBV_ILN_4323 42.00 VZ AR 41 1979 4 07 491-515 |
| allfieldsSound |
10.1007/BF02458326 doi (DE-627)OLC2087058873 (DE-He213)BF02458326-p DE-627 ger DE-627 rakwb eng 570 510 VZ 12 ssgn BIODIV DE-30 fid 42.00 bkl Matis, James H. verfasserin aut Compartmental models with multiple sources of stochastic variability: The one-compartment, time invariant hazard rate case 1979 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Society of Mathematical Biology 1979 Abstract Previous stochastic compartmental models have introduced the primary source of stochasticity through either a probabilistic transfer mechanism or a random rate coefficient. This paper combines these primary sources into a unified stochastic compartmental model. Twelve different stochastic models are produced by combining various sources of stochasticity and the mean value and the covariance for each of the twelve models is derived. The covariance of each model has a different form whereby the individual sources of stochasticity are identificable from data. The various stochastic models are illustrated for certain specified distributions of the rate coefficient and of the initial count. Several properties of the models are derived and discussed. Among these is the fact that the expected count of a model with a random rate coefficient will always exceed the expected count of a model with a fixed coefficient evaluated at the mean rate. A general modeling strategy for the onecompartment, time invariant hazard rate is also proposed. Compartmental Model Rate Coefficient Stochastic Theory Compartmental Analysis Random Initial Condition Tolley, H. Dennis aut Enthalten in Bulletin of mathematical biology Kluwer Academic Publishers, 1973 41(1979), 4 vom: Juli, Seite 491-515 (DE-627)129391719 (DE-600)184905-0 (DE-576)014776863 0092-8240 nnns volume:41 year:1979 number:4 month:07 pages:491-515 https://doi.org/10.1007/BF02458326 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC FID-BIODIV SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_21 GBV_ILN_24 GBV_ILN_32 GBV_ILN_40 GBV_ILN_65 GBV_ILN_70 GBV_ILN_2010 GBV_ILN_2015 GBV_ILN_2016 GBV_ILN_4012 GBV_ILN_4029 GBV_ILN_4035 GBV_ILN_4046 GBV_ILN_4082 GBV_ILN_4103 GBV_ILN_4219 GBV_ILN_4310 GBV_ILN_4323 42.00 VZ AR 41 1979 4 07 491-515 |
| language |
English |
| source |
Enthalten in Bulletin of mathematical biology 41(1979), 4 vom: Juli, Seite 491-515 volume:41 year:1979 number:4 month:07 pages:491-515 |
| sourceStr |
Enthalten in Bulletin of mathematical biology 41(1979), 4 vom: Juli, Seite 491-515 volume:41 year:1979 number:4 month:07 pages:491-515 |
| format_phy_str_mv |
Article |
| institution |
findex.gbv.de |
| topic_facet |
Compartmental Model Rate Coefficient Stochastic Theory Compartmental Analysis Random Initial Condition |
| dewey-raw |
570 |
| isfreeaccess_bool |
false |
| container_title |
Bulletin of mathematical biology |
| authorswithroles_txt_mv |
Matis, James H. @@aut@@ Tolley, H. Dennis @@aut@@ |
| publishDateDaySort_date |
1979-07-01T00:00:00Z |
| hierarchy_top_id |
129391719 |
| dewey-sort |
3570 |
| id |
OLC2087058873 |
| language_de |
englisch |
| fullrecord |
<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">OLC2087058873</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230401102959.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">230302s1979 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/BF02458326</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2087058873</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)BF02458326-p</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">570</subfield><subfield code="a">510</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">12</subfield><subfield code="2">ssgn</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">BIODIV</subfield><subfield code="q">DE-30</subfield><subfield code="2">fid</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">42.00</subfield><subfield code="2">bkl</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Matis, James H.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Compartmental models with multiple sources of stochastic variability: The one-compartment, time invariant hazard rate case</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">1979</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© Society of Mathematical Biology 1979</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract Previous stochastic compartmental models have introduced the primary source of stochasticity through either a probabilistic transfer mechanism or a random rate coefficient. This paper combines these primary sources into a unified stochastic compartmental model. Twelve different stochastic models are produced by combining various sources of stochasticity and the mean value and the covariance for each of the twelve models is derived. The covariance of each model has a different form whereby the individual sources of stochasticity are identificable from data. The various stochastic models are illustrated for certain specified distributions of the rate coefficient and of the initial count. Several properties of the models are derived and discussed. Among these is the fact that the expected count of a model with a random rate coefficient will always exceed the expected count of a model with a fixed coefficient evaluated at the mean rate. A general modeling strategy for the onecompartment, time invariant hazard rate is also proposed.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Compartmental Model</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Rate Coefficient</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Stochastic Theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Compartmental Analysis</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Random Initial Condition</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Tolley, H. Dennis</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Bulletin of mathematical biology</subfield><subfield code="d">Kluwer Academic Publishers, 1973</subfield><subfield code="g">41(1979), 4 vom: Juli, Seite 491-515</subfield><subfield code="w">(DE-627)129391719</subfield><subfield code="w">(DE-600)184905-0</subfield><subfield code="w">(DE-576)014776863</subfield><subfield code="x">0092-8240</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:41</subfield><subfield code="g">year:1979</subfield><subfield code="g">number:4</subfield><subfield code="g">month:07</subfield><subfield code="g">pages:491-515</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1007/BF02458326</subfield><subfield code="z">lizenzpflichtig</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_OLC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">FID-BIODIV</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OPC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_11</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_21</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_24</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_32</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_40</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_65</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_70</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2010</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2015</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2016</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4012</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4029</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4035</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4046</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4082</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4103</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4219</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4310</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4323</subfield></datafield><datafield tag="936" ind1="b" ind2="k"><subfield code="a">42.00</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">41</subfield><subfield code="j">1979</subfield><subfield code="e">4</subfield><subfield code="c">07</subfield><subfield code="h">491-515</subfield></datafield></record></collection>
|
| author |
Matis, James H. |
| spellingShingle |
Matis, James H. ddc 570 ssgn 12 fid BIODIV bkl 42.00 misc Compartmental Model misc Rate Coefficient misc Stochastic Theory misc Compartmental Analysis misc Random Initial Condition Compartmental models with multiple sources of stochastic variability: The one-compartment, time invariant hazard rate case |
| authorStr |
Matis, James H. |
| ppnlink_with_tag_str_mv |
@@773@@(DE-627)129391719 |
| format |
Article |
| dewey-ones |
570 - Life sciences; biology 510 - Mathematics |
| delete_txt_mv |
keep |
| author_role |
aut aut |
| collection |
OLC |
| remote_str |
false |
| illustrated |
Not Illustrated |
| issn |
0092-8240 |
| topic_title |
570 510 VZ 12 ssgn BIODIV DE-30 fid 42.00 bkl Compartmental models with multiple sources of stochastic variability: The one-compartment, time invariant hazard rate case Compartmental Model Rate Coefficient Stochastic Theory Compartmental Analysis Random Initial Condition |
| topic |
ddc 570 ssgn 12 fid BIODIV bkl 42.00 misc Compartmental Model misc Rate Coefficient misc Stochastic Theory misc Compartmental Analysis misc Random Initial Condition |
| topic_unstemmed |
ddc 570 ssgn 12 fid BIODIV bkl 42.00 misc Compartmental Model misc Rate Coefficient misc Stochastic Theory misc Compartmental Analysis misc Random Initial Condition |
| topic_browse |
ddc 570 ssgn 12 fid BIODIV bkl 42.00 misc Compartmental Model misc Rate Coefficient misc Stochastic Theory misc Compartmental Analysis misc Random Initial Condition |
| format_facet |
Aufsätze Gedruckte Aufsätze |
| format_main_str_mv |
Text Zeitschrift/Artikel |
| carriertype_str_mv |
nc |
| hierarchy_parent_title |
Bulletin of mathematical biology |
| hierarchy_parent_id |
129391719 |
| dewey-tens |
570 - Life sciences; biology 510 - Mathematics |
| hierarchy_top_title |
Bulletin of mathematical biology |
| isfreeaccess_txt |
false |
| familylinks_str_mv |
(DE-627)129391719 (DE-600)184905-0 (DE-576)014776863 |
| title |
Compartmental models with multiple sources of stochastic variability: The one-compartment, time invariant hazard rate case |
| ctrlnum |
(DE-627)OLC2087058873 (DE-He213)BF02458326-p |
| title_full |
Compartmental models with multiple sources of stochastic variability: The one-compartment, time invariant hazard rate case |
| author_sort |
Matis, James H. |
| journal |
Bulletin of mathematical biology |
| journalStr |
Bulletin of mathematical biology |
| lang_code |
eng |
| isOA_bool |
false |
| dewey-hundreds |
500 - Science |
| recordtype |
marc |
| publishDateSort |
1979 |
| contenttype_str_mv |
txt |
| container_start_page |
491 |
| author_browse |
Matis, James H. Tolley, H. Dennis |
| container_volume |
41 |
| class |
570 510 VZ 12 ssgn BIODIV DE-30 fid 42.00 bkl |
| format_se |
Aufsätze |
| author-letter |
Matis, James H. |
| doi_str_mv |
10.1007/BF02458326 |
| dewey-full |
570 510 |
| title_sort |
compartmental models with multiple sources of stochastic variability: the one-compartment, time invariant hazard rate case |
| title_auth |
Compartmental models with multiple sources of stochastic variability: The one-compartment, time invariant hazard rate case |
| abstract |
Abstract Previous stochastic compartmental models have introduced the primary source of stochasticity through either a probabilistic transfer mechanism or a random rate coefficient. This paper combines these primary sources into a unified stochastic compartmental model. Twelve different stochastic models are produced by combining various sources of stochasticity and the mean value and the covariance for each of the twelve models is derived. The covariance of each model has a different form whereby the individual sources of stochasticity are identificable from data. The various stochastic models are illustrated for certain specified distributions of the rate coefficient and of the initial count. Several properties of the models are derived and discussed. Among these is the fact that the expected count of a model with a random rate coefficient will always exceed the expected count of a model with a fixed coefficient evaluated at the mean rate. A general modeling strategy for the onecompartment, time invariant hazard rate is also proposed. © Society of Mathematical Biology 1979 |
| abstractGer |
Abstract Previous stochastic compartmental models have introduced the primary source of stochasticity through either a probabilistic transfer mechanism or a random rate coefficient. This paper combines these primary sources into a unified stochastic compartmental model. Twelve different stochastic models are produced by combining various sources of stochasticity and the mean value and the covariance for each of the twelve models is derived. The covariance of each model has a different form whereby the individual sources of stochasticity are identificable from data. The various stochastic models are illustrated for certain specified distributions of the rate coefficient and of the initial count. Several properties of the models are derived and discussed. Among these is the fact that the expected count of a model with a random rate coefficient will always exceed the expected count of a model with a fixed coefficient evaluated at the mean rate. A general modeling strategy for the onecompartment, time invariant hazard rate is also proposed. © Society of Mathematical Biology 1979 |
| abstract_unstemmed |
Abstract Previous stochastic compartmental models have introduced the primary source of stochasticity through either a probabilistic transfer mechanism or a random rate coefficient. This paper combines these primary sources into a unified stochastic compartmental model. Twelve different stochastic models are produced by combining various sources of stochasticity and the mean value and the covariance for each of the twelve models is derived. The covariance of each model has a different form whereby the individual sources of stochasticity are identificable from data. The various stochastic models are illustrated for certain specified distributions of the rate coefficient and of the initial count. Several properties of the models are derived and discussed. Among these is the fact that the expected count of a model with a random rate coefficient will always exceed the expected count of a model with a fixed coefficient evaluated at the mean rate. A general modeling strategy for the onecompartment, time invariant hazard rate is also proposed. © Society of Mathematical Biology 1979 |
| collection_details |
GBV_USEFLAG_A SYSFLAG_A GBV_OLC FID-BIODIV SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_21 GBV_ILN_24 GBV_ILN_32 GBV_ILN_40 GBV_ILN_65 GBV_ILN_70 GBV_ILN_2010 GBV_ILN_2015 GBV_ILN_2016 GBV_ILN_4012 GBV_ILN_4029 GBV_ILN_4035 GBV_ILN_4046 GBV_ILN_4082 GBV_ILN_4103 GBV_ILN_4219 GBV_ILN_4310 GBV_ILN_4323 |
| container_issue |
4 |
| title_short |
Compartmental models with multiple sources of stochastic variability: The one-compartment, time invariant hazard rate case |
| url |
https://doi.org/10.1007/BF02458326 |
| remote_bool |
false |
| author2 |
Tolley, H. Dennis |
| author2Str |
Tolley, H. Dennis |
| ppnlink |
129391719 |
| mediatype_str_mv |
n |
| isOA_txt |
false |
| hochschulschrift_bool |
false |
| doi_str |
10.1007/BF02458326 |
| up_date |
2024-07-03T13:26:53.932Z |
| _version_ |
1803564575815106560 |
| fullrecord_marcxml |
<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">OLC2087058873</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230401102959.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">230302s1979 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/BF02458326</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2087058873</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)BF02458326-p</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">570</subfield><subfield code="a">510</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">12</subfield><subfield code="2">ssgn</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">BIODIV</subfield><subfield code="q">DE-30</subfield><subfield code="2">fid</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">42.00</subfield><subfield code="2">bkl</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Matis, James H.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Compartmental models with multiple sources of stochastic variability: The one-compartment, time invariant hazard rate case</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">1979</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© Society of Mathematical Biology 1979</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract Previous stochastic compartmental models have introduced the primary source of stochasticity through either a probabilistic transfer mechanism or a random rate coefficient. This paper combines these primary sources into a unified stochastic compartmental model. Twelve different stochastic models are produced by combining various sources of stochasticity and the mean value and the covariance for each of the twelve models is derived. The covariance of each model has a different form whereby the individual sources of stochasticity are identificable from data. The various stochastic models are illustrated for certain specified distributions of the rate coefficient and of the initial count. Several properties of the models are derived and discussed. Among these is the fact that the expected count of a model with a random rate coefficient will always exceed the expected count of a model with a fixed coefficient evaluated at the mean rate. A general modeling strategy for the onecompartment, time invariant hazard rate is also proposed.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Compartmental Model</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Rate Coefficient</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Stochastic Theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Compartmental Analysis</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Random Initial Condition</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Tolley, H. Dennis</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Bulletin of mathematical biology</subfield><subfield code="d">Kluwer Academic Publishers, 1973</subfield><subfield code="g">41(1979), 4 vom: Juli, Seite 491-515</subfield><subfield code="w">(DE-627)129391719</subfield><subfield code="w">(DE-600)184905-0</subfield><subfield code="w">(DE-576)014776863</subfield><subfield code="x">0092-8240</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:41</subfield><subfield code="g">year:1979</subfield><subfield code="g">number:4</subfield><subfield code="g">month:07</subfield><subfield code="g">pages:491-515</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1007/BF02458326</subfield><subfield code="z">lizenzpflichtig</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_OLC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">FID-BIODIV</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OPC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_11</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_21</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_24</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_32</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_40</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_65</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_70</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2010</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2015</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2016</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4012</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4029</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4035</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4046</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4082</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4103</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4219</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4310</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4323</subfield></datafield><datafield tag="936" ind1="b" ind2="k"><subfield code="a">42.00</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">41</subfield><subfield code="j">1979</subfield><subfield code="e">4</subfield><subfield code="c">07</subfield><subfield code="h">491-515</subfield></datafield></record></collection>
|
| score |
7.400017 |