Publication: Efficient non-iterative and nonparametric estimation of heterogeneity variance for the standardized mortality ratio
Issued Date
2002-12-01
Resource Type
ISSN
00203157
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2-s2.0-4243238209
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Mahidol University
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SCOPUS
Bibliographic Citation
Annals of the Institute of Statistical Mathematics. Vol.54, No.4 (2002), 827-839
Suggested Citation
Dankmar Böhning, Uwe Malzahn, Jesus Sarol, Sasivimol Rattanasiri, Annibale Biggeri Efficient non-iterative and nonparametric estimation of heterogeneity variance for the standardized mortality ratio. Annals of the Institute of Statistical Mathematics. Vol.54, No.4 (2002), 827-839. doi:10.1023/A:1022419603608 Retrieved from: https://repository.li.mahidol.ac.th/handle/123456789/20244
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Title
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 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.