Construction of Optimal Unbiased Inference Procedures for the Parameters of the Gamma Distribution
作者:
Max Engelhardt,
LeeJ. Bain,
期刊:
Technometrics
(Taylor Available online 1978)
卷期:
Volume 20,
issue 4
页码: 485-489
ISSN:0040-1706
年代: 1978
DOI:10.1080/00401706.1978.10489703
出版商: Taylor & Francis Group
关键词: Gamma distribution;Inference procedures;Unbiased
数据来源: Taylor
摘要:
Methods for constructing uniformly most powerful unbiased two-sided tests of the parameters of the gamma distribution and the associated unbiased confidence intervals are discussed. These methods make use of existing results on construction of unbiased confidence intervals for the variance of a normal distribution. An approximation is derived for the conditional distribution of the statisticWn= x/x givenGn= x/β. Tabulations which are convenient in calculating confidence limits for the shape parameter are given.
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