Efficient Non-Iterative and Nonparametric Estimation of Heterogeneity Variance for the Standardized Mortality Ratio
Abstract In this paper the situation of extra population heterogeneity in the standardized mortality ratio is discussed from the point-of-view of an analysis of variance. First, some simple non-iterative ways are provided to estimate the variance of the heterogeneity distribution without estimating...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Böhning, Dankmar [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2002 |
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| Anmerkung: |
© The Institute of Statistical Mathematics 2002 |
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| Übergeordnetes Werk: |
Enthalten in: Annals of the Institute of Statistical Mathematics - Kluwer Academic Publishers, 1949, 54(2002), 4 vom: Dez., Seite 827-839 |
|---|---|
| Übergeordnetes Werk: |
volume:54 ; year:2002 ; number:4 ; month:12 ; pages:827-839 |
| Links: |
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| DOI / URN: |
10.1023/A:1022419603608 |
|---|
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OLC2071686977 |
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| 520 | |a Abstract In this paper the situation of extra population heterogeneity in the standardized mortality ratio is discussed from the point-of-view of an analysis of variance. First, some simple non-iterative ways are provided to estimate the variance of the heterogeneity distribution without estimating the heterogeneity distribution itself. Next, a wider class of linear unbiased estimators is introduced and their properties investigated. Consistency is shown for a wide sub-class of estimators charactererized by the fact that the associated linear weights are within some positive, finite bounds. Furthermore, it is shown that an efficient estimator is often provided when the weights are proportional to the expected counts. | ||
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10.1023/A:1022419603608 doi (DE-627)OLC2071686977 (DE-He213)A:1022419603608-p DE-627 ger DE-627 rakwb eng 510 VZ Böhning, Dankmar verfasserin aut Efficient Non-Iterative and Nonparametric Estimation of Heterogeneity Variance for the Standardized Mortality Ratio 2002 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Institute of Statistical Mathematics 2002 Abstract In this paper the situation of extra population heterogeneity in the standardized mortality ratio is discussed from the point-of-view of an analysis of variance. First, some simple non-iterative ways are provided to estimate the variance of the heterogeneity distribution without estimating the heterogeneity distribution itself. Next, a wider class of linear unbiased estimators is introduced and their properties investigated. Consistency is shown for a wide sub-class of estimators charactererized by the fact that the associated linear weights are within some positive, finite bounds. Furthermore, it is shown that an efficient estimator is often provided when the weights are proportional to the expected counts. Malzahn, Uwe aut Sarol, Jesus aut Rattanasiri, Sasivimol aut Biggeri, Annibale aut Enthalten in Annals of the Institute of Statistical Mathematics Kluwer Academic Publishers, 1949 54(2002), 4 vom: Dez., Seite 827-839 (DE-627)129934658 (DE-600)390313-8 (DE-576)015492907 0020-3157 nnns volume:54 year:2002 number:4 month:12 pages:827-839 https://doi.org/10.1023/A:1022419603608 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OLC-WIW SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_70 GBV_ILN_193 GBV_ILN_2012 GBV_ILN_2027 GBV_ILN_4126 GBV_ILN_4193 GBV_ILN_4305 GBV_ILN_4310 GBV_ILN_4311 GBV_ILN_4316 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 AR 54 2002 4 12 827-839 |
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10.1023/A:1022419603608 doi (DE-627)OLC2071686977 (DE-He213)A:1022419603608-p DE-627 ger DE-627 rakwb eng 510 VZ Böhning, Dankmar verfasserin aut Efficient Non-Iterative and Nonparametric Estimation of Heterogeneity Variance for the Standardized Mortality Ratio 2002 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Institute of Statistical Mathematics 2002 Abstract In this paper the situation of extra population heterogeneity in the standardized mortality ratio is discussed from the point-of-view of an analysis of variance. First, some simple non-iterative ways are provided to estimate the variance of the heterogeneity distribution without estimating the heterogeneity distribution itself. Next, a wider class of linear unbiased estimators is introduced and their properties investigated. Consistency is shown for a wide sub-class of estimators charactererized by the fact that the associated linear weights are within some positive, finite bounds. Furthermore, it is shown that an efficient estimator is often provided when the weights are proportional to the expected counts. Malzahn, Uwe aut Sarol, Jesus aut Rattanasiri, Sasivimol aut Biggeri, Annibale aut Enthalten in Annals of the Institute of Statistical Mathematics Kluwer Academic Publishers, 1949 54(2002), 4 vom: Dez., Seite 827-839 (DE-627)129934658 (DE-600)390313-8 (DE-576)015492907 0020-3157 nnns volume:54 year:2002 number:4 month:12 pages:827-839 https://doi.org/10.1023/A:1022419603608 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OLC-WIW SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_70 GBV_ILN_193 GBV_ILN_2012 GBV_ILN_2027 GBV_ILN_4126 GBV_ILN_4193 GBV_ILN_4305 GBV_ILN_4310 GBV_ILN_4311 GBV_ILN_4316 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 AR 54 2002 4 12 827-839 |
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10.1023/A:1022419603608 doi (DE-627)OLC2071686977 (DE-He213)A:1022419603608-p DE-627 ger DE-627 rakwb eng 510 VZ Böhning, Dankmar verfasserin aut Efficient Non-Iterative and Nonparametric Estimation of Heterogeneity Variance for the Standardized Mortality Ratio 2002 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Institute of Statistical Mathematics 2002 Abstract In this paper the situation of extra population heterogeneity in the standardized mortality ratio is discussed from the point-of-view of an analysis of variance. First, some simple non-iterative ways are provided to estimate the variance of the heterogeneity distribution without estimating the heterogeneity distribution itself. Next, a wider class of linear unbiased estimators is introduced and their properties investigated. Consistency is shown for a wide sub-class of estimators charactererized by the fact that the associated linear weights are within some positive, finite bounds. Furthermore, it is shown that an efficient estimator is often provided when the weights are proportional to the expected counts. Malzahn, Uwe aut Sarol, Jesus aut Rattanasiri, Sasivimol aut Biggeri, Annibale aut Enthalten in Annals of the Institute of Statistical Mathematics Kluwer Academic Publishers, 1949 54(2002), 4 vom: Dez., Seite 827-839 (DE-627)129934658 (DE-600)390313-8 (DE-576)015492907 0020-3157 nnns volume:54 year:2002 number:4 month:12 pages:827-839 https://doi.org/10.1023/A:1022419603608 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OLC-WIW SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_70 GBV_ILN_193 GBV_ILN_2012 GBV_ILN_2027 GBV_ILN_4126 GBV_ILN_4193 GBV_ILN_4305 GBV_ILN_4310 GBV_ILN_4311 GBV_ILN_4316 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 AR 54 2002 4 12 827-839 |
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10.1023/A:1022419603608 doi (DE-627)OLC2071686977 (DE-He213)A:1022419603608-p DE-627 ger DE-627 rakwb eng 510 VZ Böhning, Dankmar verfasserin aut Efficient Non-Iterative and Nonparametric Estimation of Heterogeneity Variance for the Standardized Mortality Ratio 2002 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Institute of Statistical Mathematics 2002 Abstract In this paper the situation of extra population heterogeneity in the standardized mortality ratio is discussed from the point-of-view of an analysis of variance. First, some simple non-iterative ways are provided to estimate the variance of the heterogeneity distribution without estimating the heterogeneity distribution itself. Next, a wider class of linear unbiased estimators is introduced and their properties investigated. Consistency is shown for a wide sub-class of estimators charactererized by the fact that the associated linear weights are within some positive, finite bounds. Furthermore, it is shown that an efficient estimator is often provided when the weights are proportional to the expected counts. Malzahn, Uwe aut Sarol, Jesus aut Rattanasiri, Sasivimol aut Biggeri, Annibale aut Enthalten in Annals of the Institute of Statistical Mathematics Kluwer Academic Publishers, 1949 54(2002), 4 vom: Dez., Seite 827-839 (DE-627)129934658 (DE-600)390313-8 (DE-576)015492907 0020-3157 nnns volume:54 year:2002 number:4 month:12 pages:827-839 https://doi.org/10.1023/A:1022419603608 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OLC-WIW SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_70 GBV_ILN_193 GBV_ILN_2012 GBV_ILN_2027 GBV_ILN_4126 GBV_ILN_4193 GBV_ILN_4305 GBV_ILN_4310 GBV_ILN_4311 GBV_ILN_4316 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 AR 54 2002 4 12 827-839 |
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10.1023/A:1022419603608 doi (DE-627)OLC2071686977 (DE-He213)A:1022419603608-p DE-627 ger DE-627 rakwb eng 510 VZ Böhning, Dankmar verfasserin aut Efficient Non-Iterative and Nonparametric Estimation of Heterogeneity Variance for the Standardized Mortality Ratio 2002 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Institute of Statistical Mathematics 2002 Abstract In this paper the situation of extra population heterogeneity in the standardized mortality ratio is discussed from the point-of-view of an analysis of variance. First, some simple non-iterative ways are provided to estimate the variance of the heterogeneity distribution without estimating the heterogeneity distribution itself. Next, a wider class of linear unbiased estimators is introduced and their properties investigated. Consistency is shown for a wide sub-class of estimators charactererized by the fact that the associated linear weights are within some positive, finite bounds. Furthermore, it is shown that an efficient estimator is often provided when the weights are proportional to the expected counts. Malzahn, Uwe aut Sarol, Jesus aut Rattanasiri, Sasivimol aut Biggeri, Annibale aut Enthalten in Annals of the Institute of Statistical Mathematics Kluwer Academic Publishers, 1949 54(2002), 4 vom: Dez., Seite 827-839 (DE-627)129934658 (DE-600)390313-8 (DE-576)015492907 0020-3157 nnns volume:54 year:2002 number:4 month:12 pages:827-839 https://doi.org/10.1023/A:1022419603608 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OLC-WIW SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_70 GBV_ILN_193 GBV_ILN_2012 GBV_ILN_2027 GBV_ILN_4126 GBV_ILN_4193 GBV_ILN_4305 GBV_ILN_4310 GBV_ILN_4311 GBV_ILN_4316 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 AR 54 2002 4 12 827-839 |
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efficient non-iterative and nonparametric estimation of heterogeneity variance for the standardized mortality ratio |
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Efficient Non-Iterative and Nonparametric Estimation of Heterogeneity Variance for the Standardized Mortality Ratio |
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Abstract In this paper the situation of extra population heterogeneity in the standardized mortality ratio is discussed from the point-of-view of an analysis of variance. First, some simple non-iterative ways are provided to estimate the variance of the heterogeneity distribution without estimating the heterogeneity distribution itself. Next, a wider class of linear unbiased estimators is introduced and their properties investigated. Consistency is shown for a wide sub-class of estimators charactererized by the fact that the associated linear weights are within some positive, finite bounds. Furthermore, it is shown that an efficient estimator is often provided when the weights are proportional to the expected counts. © The Institute of Statistical Mathematics 2002 |
| abstractGer |
Abstract In this paper the situation of extra population heterogeneity in the standardized mortality ratio is discussed from the point-of-view of an analysis of variance. First, some simple non-iterative ways are provided to estimate the variance of the heterogeneity distribution without estimating the heterogeneity distribution itself. Next, a wider class of linear unbiased estimators is introduced and their properties investigated. Consistency is shown for a wide sub-class of estimators charactererized by the fact that the associated linear weights are within some positive, finite bounds. Furthermore, it is shown that an efficient estimator is often provided when the weights are proportional to the expected counts. © The Institute of Statistical Mathematics 2002 |
| abstract_unstemmed |
Abstract In this paper the situation of extra population heterogeneity in the standardized mortality ratio is discussed from the point-of-view of an analysis of variance. First, some simple non-iterative ways are provided to estimate the variance of the heterogeneity distribution without estimating the heterogeneity distribution itself. Next, a wider class of linear unbiased estimators is introduced and their properties investigated. Consistency is shown for a wide sub-class of estimators charactererized by the fact that the associated linear weights are within some positive, finite bounds. Furthermore, it is shown that an efficient estimator is often provided when the weights are proportional to the expected counts. © The Institute of Statistical Mathematics 2002 |
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Efficient Non-Iterative and Nonparametric Estimation of Heterogeneity Variance for the Standardized Mortality Ratio |
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