Uniformly Most Powerful Unbiased Tests On The Scale Parameter Of A Gamma Distribution With A Nuisance Shape Parameter
Abstract
Conditional tests on the scale parameter of the gamma distribution with an unknown nuisance shape parameter are considered. Such tests, based upon the conditional distribution of the sample mean x (or equivalently Wi, = x/x) given the geometric mean x, are uniformly most powerful unbiased tests. Percentage points of the conditional distribution are tabulated for small sample sizes and an asymptotic normal approximation is also obtained. © 1977 Taylor & Francis Group, LLC.
Recommended Citation
M. Engelhardt and L. J. Bain, "Uniformly Most Powerful Unbiased Tests On The Scale Parameter Of A Gamma Distribution With A Nuisance Shape Parameter," Technometrics, vol. 19, no. 1, pp. 77 - 81, Taylor and Francis Group; Taylor and Francis; American Statistical Association, Jan 1977.
The definitive version is available at https://doi.org/10.1080/00401706.1977.10489502
Department(s)
Geosciences and Geological and Petroleum Engineering
Second Department
Mathematics and Statistics
Keywords and Phrases
Conditional Tests; Gamma Distribution; Normal Approximation; Scale Parameter
International Standard Serial Number (ISSN)
1537-2723; 0040-1706
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2023 Taylor and Francis Group; Taylor and Francis; American Statistical Association, All rights reserved.
Publication Date
01 Jan 1977
