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Bayes prediction based on right censored data
Authors:Lichun Wang  Noël Veraverbeke
Affiliation:(1) Department of Mathematics, Beijing Jiaotong University, Beijing, 100044, China;(2) Center for Statistics, Universiteit Hasselt, 3590 Diepenbeek, Belgium
Abstract:This paper is concerned with a Bayes prediction problem in the exponential distribution under random censorship. Using censored samples, we work out a prediction interval for a sum of interest which consists of some future samples. Differing from the general Bayes approach, we do not specify the prior distribution of the parameter, and only a first moment condition on the prior is assumed. Simulation studies are conducted to exhibit the coverage probabilities of the prediction interval. Financial support from the IAP research network (#P5/24) of the Belgian Government (Belgian Science Policy) is gratefully acknowledged.
Keywords:Bayes prediction  Random censorship  Prediction interval  Exponential distribution
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