A note on inference for the mean parameter of the gamma distribution

The two parameter gamma distribution with mean μ and shape τ is widely used in reliability and life data analysis. Unlike the normal distribution, which also has two parameters describing the location and the scale, inference for the mean parameter of the gamma distribution is much more complicated...

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Bibliographic Details
Published in:Statistics & probability letters 1993-05, Vol.17 (1), p.61-66
Main Author: Wong, Augustine C.M.
Format: Article
Language:English
Subjects:
Confidence distribution function
Confidence distribution function saddlepoint method Stirling formula
Exact sciences and technology
Mathematics
Parametric inference
Probability and statistics
saddlepoint method
Sciences and techniques of general use
Statistics
Stirling formula
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Summary:The two parameter gamma distribution with mean μ and shape τ is widely used in reliability and life data analysis. Unlike the normal distribution, which also has two parameters describing the location and the scale, inference for the mean parameter of the gamma distribution is much more complicated (Jensen, 1986) and consequently less well developed. In this paper, a method of averaging is proposed to obtain confidence intervals for the mean parameter of the gamma distribution at an arbitrary level of significance. Numerical examples showed that this method is not only simple but also very accurate.
ISSN:0167-7152
1879-2103
DOI:10.1016/0167-7152(93)90196-P