Bayesian Life Test Planning for Log-Location-Scale Family of Distributions

No Thumbnail Available
Date
2015-01-01
Authors
Hong, Yili
King, Caleb
Zhang, Yao
Meeker, William
Major Professor
Advisor
Committee Member
Journal Title
Journal ISSN
Volume Title
Publisher
Authors
Research Projects
Organizational Units
Organizational Unit
Statistics
As leaders in statistical research, collaboration, and education, the Department of Statistics at Iowa State University offers students an education like no other. We are committed to our mission of developing and applying statistical methods, and proud of our award-winning students and faculty.
Journal Issue
Is Version Of
Versions
Series
Department
Statistics
Abstract

This paper describes Bayesian methods for life test planning with censored data from a log-location-scale distribution when prior information of the distribution parameters is available. We use a Bayesian criterion based on the estimation precision of a distribution quantile. A large-sample normal approximation gives a simplified, easy-to-interpret, yet valid approach to this planning problem, where in general no closed-form solutions are available. To illustrate this approach, we present numerical investigations using the Weibull distribution with type II censoring. We also assess the effects of prior distribution choice. A simulation approach of the same Bayesian problem is also presented as a tool for visualization and validation. The validation results generally are consistent with those from the large-sample approximation approach.

Comments

This is an Accepted Manuscript of an article published by Taylor & Francis as Hong, Yili, Caleb King, Yao Zhang, and William Q. Meeker. "Bayesian life test planning for log-location-scale family of distributions." Journal of Quality Technology 47, no. 4 (2015): 336-350. DOI: 10.1080/00224065.2015.11918138. Posted with permission.

Description
Keywords
Citation
DOI
Subject Categories
Copyright
Thu Jan 01 00:00:00 UTC 2015
Collections