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Estimating the Finite Population Versions of Mean Residual Life-Time Function and Hazard Function Using Bayes Method

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Abstract

In this paper we introduce a finite population version of the mean residual life-time (MRL) function and the hazard function, and study Bayesian estimation of these functions. The unknown parameter is the complete set (y1,...;,yN) of lifetimes of the N units which constitute the complete population. A hierarchical type prior is used, where the yi's are assumed conditionally independent given a random parameter θ. The data consists of a random sample of n values of yi. The Bayes estimators of MRL and hazard functions, respectively, are then obtained as the posterior expectations of the unknown functions.

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Authors and Affiliations

  1. Division of Statistics, Northern Illinois University, DeKalb, IL, 60115-2854, U.S.A

    Nader Ebrahimi

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  1. Nader Ebrahimi
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Ebrahimi, N. Estimating the Finite Population Versions of Mean Residual Life-Time Function and Hazard Function Using Bayes Method. Annals of the Institute of Statistical Mathematics 50, 15–27 (1998). https://doi.org/10.1023/A:1003493112915

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  • DOI: https://doi.org/10.1023/A:1003493112915

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