### 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) |
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Pages (from-to) | 269-273 |

Number of pages | 5 |

Journal | Technometrics |

Volume | 28 |

Issue number | 3 |

DOIs | |

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

## Fingerprint Dive into the research topics of 'A note on the use of prior interval v2803 information in constructing interval estimates for a gamma mean'. Together they form a unique fingerprint.

## Cite this

Piegorsch, W. W., & Gladen, B. C. (1986). A note on the use of prior interval v2803 information in constructing interval estimates for a gamma mean.

*Technometrics*,*28*(3), 269-273. https://doi.org/10.1080/00401706.1986.10488135