On Some Properties of $$\alpha $$-Mixtures
Abstract The $$\alpha $$-mixtures is a new, flexible family of distributions that includes many mixture models as special cases. This paper is mainly focused on relevant stochastic comparisons and ageing properties of $$\alpha $$-mixtures of survival functions. In particular, we prove that ageing pr...
Ausführliche Beschreibung
Autor*in: |
Shojaee, Omid [verfasserIn] |
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Sprache: |
Englisch |
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2021 |
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Anmerkung: |
© The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2021 |
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Übergeordnetes Werk: |
Enthalten in: Metrika - Springer Berlin Heidelberg, 1958, 84(2021), 8 vom: 08. Apr., Seite 1213-1240 |
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Übergeordnetes Werk: |
volume:84 ; year:2021 ; number:8 ; day:08 ; month:04 ; pages:1213-1240 |
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DOI / URN: |
10.1007/s00184-021-00818-1 |
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Katalog-ID: |
OLC2077149752 |
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10.1007/s00184-021-00818-1 doi (DE-627)OLC2077149752 (DE-He213)s00184-021-00818-1-p DE-627 ger DE-627 rakwb eng 510 VZ Shojaee, Omid verfasserin aut On Some Properties of $$\alpha $$-Mixtures 2021 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2021 Abstract The $$\alpha $$-mixtures is a new, flexible family of distributions that includes many mixture models as special cases. This paper is mainly focused on relevant stochastic comparisons and ageing properties of $$\alpha $$-mixtures of survival functions. In particular, we prove that ageing properties of $$\alpha $$-mixtures for additive and multiplicative hazards models depend on the properties of the baseline failure rate functions and the corresponding conditional moments of mixing distributions. Partial orderings of the finite $$\alpha $$-mixtures in the sense of the usual stochastic order and the hazard rate order are discussed. Finally, we extend some results on the shape of the mixture failure rate obtained in the literature for usual mixtures to the case of $$\alpha $$-mixtures. Mixture models Stochastic order Hazard rate order Multiplicative hazard model Additive hazard model Asadi, Majid aut Finkelstein, Maxim aut Enthalten in Metrika Springer Berlin Heidelberg, 1958 84(2021), 8 vom: 08. Apr., Seite 1213-1240 (DE-627)12908171X (DE-600)3502-6 (DE-576)014414619 0026-1335 nnns volume:84 year:2021 number:8 day:08 month:04 pages:1213-1240 https://doi.org/10.1007/s00184-021-00818-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OLC-WIW SSG-OPC-MAT GBV_ILN_267 GBV_ILN_2018 GBV_ILN_4027 GBV_ILN_4277 AR 84 2021 8 08 04 1213-1240 |
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10.1007/s00184-021-00818-1 doi (DE-627)OLC2077149752 (DE-He213)s00184-021-00818-1-p DE-627 ger DE-627 rakwb eng 510 VZ Shojaee, Omid verfasserin aut On Some Properties of $$\alpha $$-Mixtures 2021 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2021 Abstract The $$\alpha $$-mixtures is a new, flexible family of distributions that includes many mixture models as special cases. This paper is mainly focused on relevant stochastic comparisons and ageing properties of $$\alpha $$-mixtures of survival functions. In particular, we prove that ageing properties of $$\alpha $$-mixtures for additive and multiplicative hazards models depend on the properties of the baseline failure rate functions and the corresponding conditional moments of mixing distributions. Partial orderings of the finite $$\alpha $$-mixtures in the sense of the usual stochastic order and the hazard rate order are discussed. Finally, we extend some results on the shape of the mixture failure rate obtained in the literature for usual mixtures to the case of $$\alpha $$-mixtures. Mixture models Stochastic order Hazard rate order Multiplicative hazard model Additive hazard model Asadi, Majid aut Finkelstein, Maxim aut Enthalten in Metrika Springer Berlin Heidelberg, 1958 84(2021), 8 vom: 08. Apr., Seite 1213-1240 (DE-627)12908171X (DE-600)3502-6 (DE-576)014414619 0026-1335 nnns volume:84 year:2021 number:8 day:08 month:04 pages:1213-1240 https://doi.org/10.1007/s00184-021-00818-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OLC-WIW SSG-OPC-MAT GBV_ILN_267 GBV_ILN_2018 GBV_ILN_4027 GBV_ILN_4277 AR 84 2021 8 08 04 1213-1240 |
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10.1007/s00184-021-00818-1 doi (DE-627)OLC2077149752 (DE-He213)s00184-021-00818-1-p DE-627 ger DE-627 rakwb eng 510 VZ Shojaee, Omid verfasserin aut On Some Properties of $$\alpha $$-Mixtures 2021 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2021 Abstract The $$\alpha $$-mixtures is a new, flexible family of distributions that includes many mixture models as special cases. This paper is mainly focused on relevant stochastic comparisons and ageing properties of $$\alpha $$-mixtures of survival functions. In particular, we prove that ageing properties of $$\alpha $$-mixtures for additive and multiplicative hazards models depend on the properties of the baseline failure rate functions and the corresponding conditional moments of mixing distributions. Partial orderings of the finite $$\alpha $$-mixtures in the sense of the usual stochastic order and the hazard rate order are discussed. Finally, we extend some results on the shape of the mixture failure rate obtained in the literature for usual mixtures to the case of $$\alpha $$-mixtures. Mixture models Stochastic order Hazard rate order Multiplicative hazard model Additive hazard model Asadi, Majid aut Finkelstein, Maxim aut Enthalten in Metrika Springer Berlin Heidelberg, 1958 84(2021), 8 vom: 08. Apr., Seite 1213-1240 (DE-627)12908171X (DE-600)3502-6 (DE-576)014414619 0026-1335 nnns volume:84 year:2021 number:8 day:08 month:04 pages:1213-1240 https://doi.org/10.1007/s00184-021-00818-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OLC-WIW SSG-OPC-MAT GBV_ILN_267 GBV_ILN_2018 GBV_ILN_4027 GBV_ILN_4277 AR 84 2021 8 08 04 1213-1240 |
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10.1007/s00184-021-00818-1 doi (DE-627)OLC2077149752 (DE-He213)s00184-021-00818-1-p DE-627 ger DE-627 rakwb eng 510 VZ Shojaee, Omid verfasserin aut On Some Properties of $$\alpha $$-Mixtures 2021 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2021 Abstract The $$\alpha $$-mixtures is a new, flexible family of distributions that includes many mixture models as special cases. This paper is mainly focused on relevant stochastic comparisons and ageing properties of $$\alpha $$-mixtures of survival functions. In particular, we prove that ageing properties of $$\alpha $$-mixtures for additive and multiplicative hazards models depend on the properties of the baseline failure rate functions and the corresponding conditional moments of mixing distributions. Partial orderings of the finite $$\alpha $$-mixtures in the sense of the usual stochastic order and the hazard rate order are discussed. Finally, we extend some results on the shape of the mixture failure rate obtained in the literature for usual mixtures to the case of $$\alpha $$-mixtures. Mixture models Stochastic order Hazard rate order Multiplicative hazard model Additive hazard model Asadi, Majid aut Finkelstein, Maxim aut Enthalten in Metrika Springer Berlin Heidelberg, 1958 84(2021), 8 vom: 08. Apr., Seite 1213-1240 (DE-627)12908171X (DE-600)3502-6 (DE-576)014414619 0026-1335 nnns volume:84 year:2021 number:8 day:08 month:04 pages:1213-1240 https://doi.org/10.1007/s00184-021-00818-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OLC-WIW SSG-OPC-MAT GBV_ILN_267 GBV_ILN_2018 GBV_ILN_4027 GBV_ILN_4277 AR 84 2021 8 08 04 1213-1240 |
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10.1007/s00184-021-00818-1 doi (DE-627)OLC2077149752 (DE-He213)s00184-021-00818-1-p DE-627 ger DE-627 rakwb eng 510 VZ Shojaee, Omid verfasserin aut On Some Properties of $$\alpha $$-Mixtures 2021 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2021 Abstract The $$\alpha $$-mixtures is a new, flexible family of distributions that includes many mixture models as special cases. This paper is mainly focused on relevant stochastic comparisons and ageing properties of $$\alpha $$-mixtures of survival functions. In particular, we prove that ageing properties of $$\alpha $$-mixtures for additive and multiplicative hazards models depend on the properties of the baseline failure rate functions and the corresponding conditional moments of mixing distributions. Partial orderings of the finite $$\alpha $$-mixtures in the sense of the usual stochastic order and the hazard rate order are discussed. Finally, we extend some results on the shape of the mixture failure rate obtained in the literature for usual mixtures to the case of $$\alpha $$-mixtures. Mixture models Stochastic order Hazard rate order Multiplicative hazard model Additive hazard model Asadi, Majid aut Finkelstein, Maxim aut Enthalten in Metrika Springer Berlin Heidelberg, 1958 84(2021), 8 vom: 08. Apr., Seite 1213-1240 (DE-627)12908171X (DE-600)3502-6 (DE-576)014414619 0026-1335 nnns volume:84 year:2021 number:8 day:08 month:04 pages:1213-1240 https://doi.org/10.1007/s00184-021-00818-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OLC-WIW SSG-OPC-MAT GBV_ILN_267 GBV_ILN_2018 GBV_ILN_4027 GBV_ILN_4277 AR 84 2021 8 08 04 1213-1240 |
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Abstract The $$\alpha $$-mixtures is a new, flexible family of distributions that includes many mixture models as special cases. This paper is mainly focused on relevant stochastic comparisons and ageing properties of $$\alpha $$-mixtures of survival functions. In particular, we prove that ageing properties of $$\alpha $$-mixtures for additive and multiplicative hazards models depend on the properties of the baseline failure rate functions and the corresponding conditional moments of mixing distributions. Partial orderings of the finite $$\alpha $$-mixtures in the sense of the usual stochastic order and the hazard rate order are discussed. Finally, we extend some results on the shape of the mixture failure rate obtained in the literature for usual mixtures to the case of $$\alpha $$-mixtures. © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2021 |
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Abstract The $$\alpha $$-mixtures is a new, flexible family of distributions that includes many mixture models as special cases. This paper is mainly focused on relevant stochastic comparisons and ageing properties of $$\alpha $$-mixtures of survival functions. In particular, we prove that ageing properties of $$\alpha $$-mixtures for additive and multiplicative hazards models depend on the properties of the baseline failure rate functions and the corresponding conditional moments of mixing distributions. Partial orderings of the finite $$\alpha $$-mixtures in the sense of the usual stochastic order and the hazard rate order are discussed. Finally, we extend some results on the shape of the mixture failure rate obtained in the literature for usual mixtures to the case of $$\alpha $$-mixtures. © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2021 |
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Abstract The $$\alpha $$-mixtures is a new, flexible family of distributions that includes many mixture models as special cases. This paper is mainly focused on relevant stochastic comparisons and ageing properties of $$\alpha $$-mixtures of survival functions. In particular, we prove that ageing properties of $$\alpha $$-mixtures for additive and multiplicative hazards models depend on the properties of the baseline failure rate functions and the corresponding conditional moments of mixing distributions. Partial orderings of the finite $$\alpha $$-mixtures in the sense of the usual stochastic order and the hazard rate order are discussed. Finally, we extend some results on the shape of the mixture failure rate obtained in the literature for usual mixtures to the case of $$\alpha $$-mixtures. © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2021 |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">OLC2077149752</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230505140443.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">221220s2021 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s00184-021-00818-1</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2077149752</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)s00184-021-00818-1-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">510</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Shojaee, Omid</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">On Some Properties of $$\alpha $$-Mixtures</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2021</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">© The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2021</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract The $$\alpha $$-mixtures is a new, flexible family of distributions that includes many mixture models as special cases. This paper is mainly focused on relevant stochastic comparisons and ageing properties of $$\alpha $$-mixtures of survival functions. In particular, we prove that ageing properties of $$\alpha $$-mixtures for additive and multiplicative hazards models depend on the properties of the baseline failure rate functions and the corresponding conditional moments of mixing distributions. Partial orderings of the finite $$\alpha $$-mixtures in the sense of the usual stochastic order and the hazard rate order are discussed. Finally, we extend some results on the shape of the mixture failure rate obtained in the literature for usual mixtures to the case of $$\alpha $$-mixtures.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mixture models</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Stochastic order</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Hazard rate order</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Multiplicative hazard model</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Additive hazard model</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Asadi, Majid</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Finkelstein, Maxim</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Metrika</subfield><subfield code="d">Springer Berlin Heidelberg, 1958</subfield><subfield code="g">84(2021), 8 vom: 08. 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