A Comparison of Conditional and Unconditional Inference Relating to Log-Gamma Distribution

N. Balakrishnan and P. S. Chan
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N. Balakrishnan: McMaster University, Department of Mathematics and Statistics
P. S. Chan: McMaster University, Department of Mathematics and Statistics

A chapter in Lifetime Data: Models in Reliability and Survival Analysis, 1996, pp 29-37 from Springer

Abstract: Abstract The family of log-gamma distributions, with varying values of the shape parameter k, provides a wide range of distributions including the extreme value and normal. In this paper, we shall discuss some inferential issues relating to this family of distributions based on censored samples. First, by assuming the shape parameter k to be known, we discuss maximum likelihood estimation of location and scale parameters. Then we describe the construction of the confidence intervals conditionally and unconditionally for these parameters. We also make a comparison of the conditional and unconditional methods of constructing confidence intervals. Finally, we illustrate these methods of inference with a numerical example.

Keywords: Joint Density Function; Construct Confidence Interval; Generalize Gamma Distribution; Pivotal Quantity; Marginal Density Function (search for similar items in EconPapers)
Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4757-5654-8_5

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DOI: 10.1007/978-1-4757-5654-8_5

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