Coherent indexes for shifted count and semicontinuous models
Abstract Nonnegative distributions display certain specific indexes such as dispersion and inflation for count models as well as recent variation and mass indexes for semicontinuous ones. When the support of the model is, for instance, shifted from zero, then several authors use the original indexes...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Bourguignon, Marcelo [verfasserIn] Kokonendji, Célestin C. [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2024 |
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| Schlagwörter: |
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| Anmerkung: |
© The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. |
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| Übergeordnetes Werk: |
Enthalten in: Statistical papers - Springer Berlin Heidelberg, 1988, 65(2024), 8 vom: 10. Aug., Seite 5253-5271 |
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| Übergeordnetes Werk: |
volume:65 ; year:2024 ; number:8 ; day:10 ; month:08 ; pages:5253-5271 |
| Links: |
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| DOI / URN: |
10.1007/s00362-024-01598-2 |
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| Katalog-ID: |
SPR057707626 |
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| 520 | |a Abstract Nonnegative distributions display certain specific indexes such as dispersion and inflation for count models as well as recent variation and mass indexes for semicontinuous ones. When the support of the model is, for instance, shifted from zero, then several authors use the original indexes with respect to the inappropriate reference model. The current paper elaborates coherent indexes for shifted count and semicontinuous models in order to measure the departure of a suitable reference distribution. From this perspective, we start from the usual reference distributions which are uncorrelated shifted Poisson and uncorrelated shifted exponential models. Concerning the corresponding variability indexes, multiple marginal ones and novel multivariate coefficients of variation are thus deduced. Owing to their relativities, all these indexes can be used to discriminate between two comparable distributions and, also, within a given model. Empirical indexes are, therefore, considered with some asymptotic properties. Useful univariate one-count models are examined in terms of dispersion and inflation indexes. In addition, some univariate shifted semicontinuous models are mainly illustrated for variation index. Finally, an application to count data is enacted and pertinent concluding remarks are drawn such the limitations and future work points. | ||
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| 650 | 4 | |a Inflation index |7 (dpeaa)DE-He213 | |
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| 650 | 4 | |a Shifted distribution |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Mass index |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Variation index |7 (dpeaa)DE-He213 | |
| 700 | 1 | |a Kokonendji, Célestin C. |e verfasserin |0 (orcid)0000-0001-8949-9634 |4 aut | |
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10.1007/s00362-024-01598-2 doi (DE-627)SPR057707626 (SPR)s00362-024-01598-2-e DE-627 ger DE-627 rakwb eng 300 330 510 VZ 31.73 bkl Bourguignon, Marcelo verfasserin aut Coherent indexes for shifted count and semicontinuous models 2024 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract Nonnegative distributions display certain specific indexes such as dispersion and inflation for count models as well as recent variation and mass indexes for semicontinuous ones. When the support of the model is, for instance, shifted from zero, then several authors use the original indexes with respect to the inappropriate reference model. The current paper elaborates coherent indexes for shifted count and semicontinuous models in order to measure the departure of a suitable reference distribution. From this perspective, we start from the usual reference distributions which are uncorrelated shifted Poisson and uncorrelated shifted exponential models. Concerning the corresponding variability indexes, multiple marginal ones and novel multivariate coefficients of variation are thus deduced. Owing to their relativities, all these indexes can be used to discriminate between two comparable distributions and, also, within a given model. Empirical indexes are, therefore, considered with some asymptotic properties. Useful univariate one-count models are examined in terms of dispersion and inflation indexes. In addition, some univariate shifted semicontinuous models are mainly illustrated for variation index. Finally, an application to count data is enacted and pertinent concluding remarks are drawn such the limitations and future work points. Dispersion index (dpeaa)DE-He213 Inflation index (dpeaa)DE-He213 Multivariate coefficient of variation (dpeaa)DE-He213 Shifted distribution (dpeaa)DE-He213 Mass index (dpeaa)DE-He213 Variation index (dpeaa)DE-He213 Kokonendji, Célestin C. verfasserin (orcid)0000-0001-8949-9634 aut Enthalten in Statistical papers Springer Berlin Heidelberg, 1988 65(2024), 8 vom: 10. Aug., Seite 5253-5271 (DE-627)271601469 (DE-600)1481169-8 1613-9798 nnns volume:65 year:2024 number:8 day:10 month:08 pages:5253-5271 https://dx.doi.org/10.1007/s00362-024-01598-2 X:SPRINGER Resolving-System lizenzpflichtig Volltext SYSFLAG_0 GBV_SPRINGER SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_26 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_72 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_2574 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 31.73 VZ AR 65 2024 8 10 08 5253-5271 |
| spelling |
10.1007/s00362-024-01598-2 doi (DE-627)SPR057707626 (SPR)s00362-024-01598-2-e DE-627 ger DE-627 rakwb eng 300 330 510 VZ 31.73 bkl Bourguignon, Marcelo verfasserin aut Coherent indexes for shifted count and semicontinuous models 2024 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract Nonnegative distributions display certain specific indexes such as dispersion and inflation for count models as well as recent variation and mass indexes for semicontinuous ones. When the support of the model is, for instance, shifted from zero, then several authors use the original indexes with respect to the inappropriate reference model. The current paper elaborates coherent indexes for shifted count and semicontinuous models in order to measure the departure of a suitable reference distribution. From this perspective, we start from the usual reference distributions which are uncorrelated shifted Poisson and uncorrelated shifted exponential models. Concerning the corresponding variability indexes, multiple marginal ones and novel multivariate coefficients of variation are thus deduced. Owing to their relativities, all these indexes can be used to discriminate between two comparable distributions and, also, within a given model. Empirical indexes are, therefore, considered with some asymptotic properties. Useful univariate one-count models are examined in terms of dispersion and inflation indexes. In addition, some univariate shifted semicontinuous models are mainly illustrated for variation index. Finally, an application to count data is enacted and pertinent concluding remarks are drawn such the limitations and future work points. Dispersion index (dpeaa)DE-He213 Inflation index (dpeaa)DE-He213 Multivariate coefficient of variation (dpeaa)DE-He213 Shifted distribution (dpeaa)DE-He213 Mass index (dpeaa)DE-He213 Variation index (dpeaa)DE-He213 Kokonendji, Célestin C. verfasserin (orcid)0000-0001-8949-9634 aut Enthalten in Statistical papers Springer Berlin Heidelberg, 1988 65(2024), 8 vom: 10. Aug., Seite 5253-5271 (DE-627)271601469 (DE-600)1481169-8 1613-9798 nnns volume:65 year:2024 number:8 day:10 month:08 pages:5253-5271 https://dx.doi.org/10.1007/s00362-024-01598-2 X:SPRINGER Resolving-System lizenzpflichtig Volltext SYSFLAG_0 GBV_SPRINGER SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_26 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_72 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_2574 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 31.73 VZ AR 65 2024 8 10 08 5253-5271 |
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10.1007/s00362-024-01598-2 doi (DE-627)SPR057707626 (SPR)s00362-024-01598-2-e DE-627 ger DE-627 rakwb eng 300 330 510 VZ 31.73 bkl Bourguignon, Marcelo verfasserin aut Coherent indexes for shifted count and semicontinuous models 2024 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract Nonnegative distributions display certain specific indexes such as dispersion and inflation for count models as well as recent variation and mass indexes for semicontinuous ones. When the support of the model is, for instance, shifted from zero, then several authors use the original indexes with respect to the inappropriate reference model. The current paper elaborates coherent indexes for shifted count and semicontinuous models in order to measure the departure of a suitable reference distribution. From this perspective, we start from the usual reference distributions which are uncorrelated shifted Poisson and uncorrelated shifted exponential models. Concerning the corresponding variability indexes, multiple marginal ones and novel multivariate coefficients of variation are thus deduced. Owing to their relativities, all these indexes can be used to discriminate between two comparable distributions and, also, within a given model. Empirical indexes are, therefore, considered with some asymptotic properties. Useful univariate one-count models are examined in terms of dispersion and inflation indexes. In addition, some univariate shifted semicontinuous models are mainly illustrated for variation index. Finally, an application to count data is enacted and pertinent concluding remarks are drawn such the limitations and future work points. Dispersion index (dpeaa)DE-He213 Inflation index (dpeaa)DE-He213 Multivariate coefficient of variation (dpeaa)DE-He213 Shifted distribution (dpeaa)DE-He213 Mass index (dpeaa)DE-He213 Variation index (dpeaa)DE-He213 Kokonendji, Célestin C. verfasserin (orcid)0000-0001-8949-9634 aut Enthalten in Statistical papers Springer Berlin Heidelberg, 1988 65(2024), 8 vom: 10. Aug., Seite 5253-5271 (DE-627)271601469 (DE-600)1481169-8 1613-9798 nnns volume:65 year:2024 number:8 day:10 month:08 pages:5253-5271 https://dx.doi.org/10.1007/s00362-024-01598-2 X:SPRINGER Resolving-System lizenzpflichtig Volltext SYSFLAG_0 GBV_SPRINGER SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_26 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_72 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_2574 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 31.73 VZ AR 65 2024 8 10 08 5253-5271 |
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10.1007/s00362-024-01598-2 doi (DE-627)SPR057707626 (SPR)s00362-024-01598-2-e DE-627 ger DE-627 rakwb eng 300 330 510 VZ 31.73 bkl Bourguignon, Marcelo verfasserin aut Coherent indexes for shifted count and semicontinuous models 2024 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract Nonnegative distributions display certain specific indexes such as dispersion and inflation for count models as well as recent variation and mass indexes for semicontinuous ones. When the support of the model is, for instance, shifted from zero, then several authors use the original indexes with respect to the inappropriate reference model. The current paper elaborates coherent indexes for shifted count and semicontinuous models in order to measure the departure of a suitable reference distribution. From this perspective, we start from the usual reference distributions which are uncorrelated shifted Poisson and uncorrelated shifted exponential models. Concerning the corresponding variability indexes, multiple marginal ones and novel multivariate coefficients of variation are thus deduced. Owing to their relativities, all these indexes can be used to discriminate between two comparable distributions and, also, within a given model. Empirical indexes are, therefore, considered with some asymptotic properties. Useful univariate one-count models are examined in terms of dispersion and inflation indexes. In addition, some univariate shifted semicontinuous models are mainly illustrated for variation index. Finally, an application to count data is enacted and pertinent concluding remarks are drawn such the limitations and future work points. Dispersion index (dpeaa)DE-He213 Inflation index (dpeaa)DE-He213 Multivariate coefficient of variation (dpeaa)DE-He213 Shifted distribution (dpeaa)DE-He213 Mass index (dpeaa)DE-He213 Variation index (dpeaa)DE-He213 Kokonendji, Célestin C. verfasserin (orcid)0000-0001-8949-9634 aut Enthalten in Statistical papers Springer Berlin Heidelberg, 1988 65(2024), 8 vom: 10. Aug., Seite 5253-5271 (DE-627)271601469 (DE-600)1481169-8 1613-9798 nnns volume:65 year:2024 number:8 day:10 month:08 pages:5253-5271 https://dx.doi.org/10.1007/s00362-024-01598-2 X:SPRINGER Resolving-System lizenzpflichtig Volltext SYSFLAG_0 GBV_SPRINGER SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_26 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_72 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_2574 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 31.73 VZ AR 65 2024 8 10 08 5253-5271 |
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10.1007/s00362-024-01598-2 doi (DE-627)SPR057707626 (SPR)s00362-024-01598-2-e DE-627 ger DE-627 rakwb eng 300 330 510 VZ 31.73 bkl Bourguignon, Marcelo verfasserin aut Coherent indexes for shifted count and semicontinuous models 2024 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract Nonnegative distributions display certain specific indexes such as dispersion and inflation for count models as well as recent variation and mass indexes for semicontinuous ones. When the support of the model is, for instance, shifted from zero, then several authors use the original indexes with respect to the inappropriate reference model. The current paper elaborates coherent indexes for shifted count and semicontinuous models in order to measure the departure of a suitable reference distribution. From this perspective, we start from the usual reference distributions which are uncorrelated shifted Poisson and uncorrelated shifted exponential models. Concerning the corresponding variability indexes, multiple marginal ones and novel multivariate coefficients of variation are thus deduced. Owing to their relativities, all these indexes can be used to discriminate between two comparable distributions and, also, within a given model. Empirical indexes are, therefore, considered with some asymptotic properties. Useful univariate one-count models are examined in terms of dispersion and inflation indexes. In addition, some univariate shifted semicontinuous models are mainly illustrated for variation index. Finally, an application to count data is enacted and pertinent concluding remarks are drawn such the limitations and future work points. Dispersion index (dpeaa)DE-He213 Inflation index (dpeaa)DE-He213 Multivariate coefficient of variation (dpeaa)DE-He213 Shifted distribution (dpeaa)DE-He213 Mass index (dpeaa)DE-He213 Variation index (dpeaa)DE-He213 Kokonendji, Célestin C. verfasserin (orcid)0000-0001-8949-9634 aut Enthalten in Statistical papers Springer Berlin Heidelberg, 1988 65(2024), 8 vom: 10. Aug., Seite 5253-5271 (DE-627)271601469 (DE-600)1481169-8 1613-9798 nnns volume:65 year:2024 number:8 day:10 month:08 pages:5253-5271 https://dx.doi.org/10.1007/s00362-024-01598-2 X:SPRINGER Resolving-System lizenzpflichtig Volltext SYSFLAG_0 GBV_SPRINGER SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_26 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_72 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_2574 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 31.73 VZ AR 65 2024 8 10 08 5253-5271 |
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Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract Nonnegative distributions display certain specific indexes such as dispersion and inflation for count models as well as recent variation and mass indexes for semicontinuous ones. When the support of the model is, for instance, shifted from zero, then several authors use the original indexes with respect to the inappropriate reference model. The current paper elaborates coherent indexes for shifted count and semicontinuous models in order to measure the departure of a suitable reference distribution. From this perspective, we start from the usual reference distributions which are uncorrelated shifted Poisson and uncorrelated shifted exponential models. Concerning the corresponding variability indexes, multiple marginal ones and novel multivariate coefficients of variation are thus deduced. Owing to their relativities, all these indexes can be used to discriminate between two comparable distributions and, also, within a given model. Empirical indexes are, therefore, considered with some asymptotic properties. Useful univariate one-count models are examined in terms of dispersion and inflation indexes. In addition, some univariate shifted semicontinuous models are mainly illustrated for variation index. Finally, an application to count data is enacted and pertinent concluding remarks are drawn such the limitations and future work points.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Dispersion index</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Inflation index</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Multivariate coefficient of variation</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Shifted distribution</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mass index</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Variation index</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Kokonendji, Célestin C.</subfield><subfield code="e">verfasserin</subfield><subfield code="0">(orcid)0000-0001-8949-9634</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Statistical papers</subfield><subfield code="d">Springer Berlin Heidelberg, 1988</subfield><subfield code="g">65(2024), 8 vom: 10. 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Bourguignon, Marcelo |
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Coherent indexes for shifted count and semicontinuous models |
| abstract |
Abstract Nonnegative distributions display certain specific indexes such as dispersion and inflation for count models as well as recent variation and mass indexes for semicontinuous ones. When the support of the model is, for instance, shifted from zero, then several authors use the original indexes with respect to the inappropriate reference model. The current paper elaborates coherent indexes for shifted count and semicontinuous models in order to measure the departure of a suitable reference distribution. From this perspective, we start from the usual reference distributions which are uncorrelated shifted Poisson and uncorrelated shifted exponential models. Concerning the corresponding variability indexes, multiple marginal ones and novel multivariate coefficients of variation are thus deduced. Owing to their relativities, all these indexes can be used to discriminate between two comparable distributions and, also, within a given model. Empirical indexes are, therefore, considered with some asymptotic properties. Useful univariate one-count models are examined in terms of dispersion and inflation indexes. In addition, some univariate shifted semicontinuous models are mainly illustrated for variation index. Finally, an application to count data is enacted and pertinent concluding remarks are drawn such the limitations and future work points. © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. |
| abstractGer |
Abstract Nonnegative distributions display certain specific indexes such as dispersion and inflation for count models as well as recent variation and mass indexes for semicontinuous ones. When the support of the model is, for instance, shifted from zero, then several authors use the original indexes with respect to the inappropriate reference model. The current paper elaborates coherent indexes for shifted count and semicontinuous models in order to measure the departure of a suitable reference distribution. From this perspective, we start from the usual reference distributions which are uncorrelated shifted Poisson and uncorrelated shifted exponential models. Concerning the corresponding variability indexes, multiple marginal ones and novel multivariate coefficients of variation are thus deduced. Owing to their relativities, all these indexes can be used to discriminate between two comparable distributions and, also, within a given model. Empirical indexes are, therefore, considered with some asymptotic properties. Useful univariate one-count models are examined in terms of dispersion and inflation indexes. In addition, some univariate shifted semicontinuous models are mainly illustrated for variation index. Finally, an application to count data is enacted and pertinent concluding remarks are drawn such the limitations and future work points. © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. |
| abstract_unstemmed |
Abstract Nonnegative distributions display certain specific indexes such as dispersion and inflation for count models as well as recent variation and mass indexes for semicontinuous ones. When the support of the model is, for instance, shifted from zero, then several authors use the original indexes with respect to the inappropriate reference model. The current paper elaborates coherent indexes for shifted count and semicontinuous models in order to measure the departure of a suitable reference distribution. From this perspective, we start from the usual reference distributions which are uncorrelated shifted Poisson and uncorrelated shifted exponential models. Concerning the corresponding variability indexes, multiple marginal ones and novel multivariate coefficients of variation are thus deduced. Owing to their relativities, all these indexes can be used to discriminate between two comparable distributions and, also, within a given model. Empirical indexes are, therefore, considered with some asymptotic properties. Useful univariate one-count models are examined in terms of dispersion and inflation indexes. In addition, some univariate shifted semicontinuous models are mainly illustrated for variation index. Finally, an application to count data is enacted and pertinent concluding remarks are drawn such the limitations and future work points. © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. |
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| container_issue |
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| title_short |
Coherent indexes for shifted count and semicontinuous models |
| url |
https://dx.doi.org/10.1007/s00362-024-01598-2 |
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| author2 |
Kokonendji, Célestin C. |
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| doi_str |
10.1007/s00362-024-01598-2 |
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2024-10-09T04:49:03.518Z |
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| score |
7.401638 |