Inferences on the Shape Parameter of a Gamma Distribution: A Conditional Approach

A conditional method for inferences on the shape parameter of a two-parameter gamma distribution is presented in this article. A simple numerical implementation of this conditional method is developed; this is a computer program that takes the observed data as input and produces the confidence distr...

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Bibliographic Details
Published in:Technometrics 1992-08, Vol.34 (3), p.348-351
Main Author: WONG, A. C. M
Format: Article
Language:English
Subjects:
Approximation
Computer software
Confidence interval
Distribution functions
Exact sciences and technology
Mathematical independent variables
Mathematics
Parametric inference
Probabilities
Probability and statistics
Sample size
Sciences and techniques of general use
Shorter Communication
Significance level
Statistics
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Summary:A conditional method for inferences on the shape parameter of a two-parameter gamma distribution is presented in this article. A simple numerical implementation of this conditional method is developed; this is a computer program that takes the observed data as input and produces the confidence distribution function for the shape parameter, which in turn provides approximate observed significance levels and confidence intervals for that parameter, as output. These approximations are extremely accurate even for very small sample size and are numerically simple and easy to obtain.
ISSN:0040-1706
1537-2723
DOI:10.2307/1270041