✦ LIBER ✦

On Estimating a Linear Combination of Strata Means with Random Sample Sizes

✍ Scribed by K. He

Publisher: Elsevier Science
Year: 1995
Tongue: English
Weight: 715 KB
Volume: 55
Category: Article
ISSN: 0047-259X
DOI: 10.1006/jmva.1995.1066

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✦ Synopsis

In finite sampling it is widely believed that the probability sampling distribution is irrelevant for inference from a given sample. A super-population model in stratified sampling is investigated to show that the probability sampling distribution is relevant. It is proved that the traditional estimator of a linear combination of strata means, which is admissible and minimax when the vector of sample sizes is fixed, is inadmissible when the vector of sample sizes is random. Two alternative estimators are investigated. Based on analysis which is partly analytical and partly numerical, it appears that both of them are better than the traditional estimator. (1995 Academic Press, Inc.

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