A note on the use of prior interval v2803 information in constructing interval estimates for a gamma mean

Walter W. Piegorsch; Beth C. Gladen

doi:10.1080/00401706.1986.10488135

A note on the use of prior interval v2803 information in constructing interval estimates for a gamma mean

Walter W. Piegorsch, Beth C. Gladen

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

Methods are presented for construction of interval estimates on the mean of a gamma distribution when there is some prior interval information as to the location of this parameter. The methods produce posterior intervals by constructing prior distributions for the mean parameter from the prior interval information. Both Bayesian and pseudo-Bayesian approaches for the construction of the priors are considered. These concepts are illustrated by an experiment assessing the operating characteristics of a laboratory chemical analyzer.

Original language	English (US)
Pages (from-to)	269-273
Number of pages	5
Journal	Technometrics
Volume	28
Issue number	3
DOIs	https://doi.org/10.1080/00401706.1986.10488135
State	Published - Aug 1986
Externally published	Yes

Keywords

Bayes credible interval
Inverse gamma prior distribution
Nuisance shape parameter
Uniform prior distribution

ASJC Scopus subject areas

Statistics and Probability
Modeling and Simulation
Applied Mathematics

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10.1080/00401706.1986.10488135

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AB - Methods are presented for construction of interval estimates on the mean of a gamma distribution when there is some prior interval information as to the location of this parameter. The methods produce posterior intervals by constructing prior distributions for the mean parameter from the prior interval information. Both Bayesian and pseudo-Bayesian approaches for the construction of the priors are considered. These concepts are illustrated by an experiment assessing the operating characteristics of a laboratory chemical analyzer.

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KW - Inverse gamma prior distribution

KW - Nuisance shape parameter

KW - Uniform prior distribution

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A note on the use of prior interval v2803 information in constructing interval estimates for a gamma mean

Abstract

Keywords

ASJC Scopus subject areas

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