One- and two-sample prediction based on doubly censored exponential data and prior information
- Arturo J. Fernández
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On the basis of a doubly censored sample from an exponential lifetime distribution, the problem of predicting the lifetimes of the unfailed items (one-sample prediction), as well as a second independent future sample from the same distribution (two-sample prediction), is addressed in a Bayesian setting. A class of conjugate prior distributions, which includes Jeffreys' prior as a special case, is considered. Explicit expressions for predictive densities and survivals are derived. Assuming squared-error loss, Bayes predictive estimators are obtained in closed forms (in particular, the estimator of the number of failures in a specified future time interval, is given analytically). Bayes prediction limits and predictive estimators under absolute-error loss can readily be computed using iterative methods. As applications, the total duration time in a life test and the failure time of ak-out-of-n system may be predicted. As an illustration, a numerical example is also included.
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- One- and two-sample prediction based on doubly censored exponential data and prior information
Volume 13, Issue 2 , pp 403-416
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- Bayes predictive estimators
- Bayes prediction limits
- failure time data
- order statistics
- Type II censoring
- Industry Sectors
- Author Affiliations
- 1. Departamento de Estadística, I. O. y Computación, Universidad de La Laguna, 38271, La Laguna, Spain