Title : ( Reconstruction of the past failure times for the proportional reversed hazard rate model )
Authors: A. Asgharzadeha , Jafar Ahmadi , Z. Mirzazadeh Ganji , R. Valiollahi ,
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Abstract
The problem of reconstruction of the past failure times in the left censored setup is considered. Various reconstructors of times to failure of units censored in a left-censored sample from the proportional reversed hazard rate models are demonstrated. The maximum likelihood, best unbiased and conditional median reconstructors are obtained. We also present two methods non-Bayesian and Bayesian for obtaining reconstruction intervals for the past failure times. Numerical example and a Monte Carlo simulation study are given to illustrate all the reconstruction methods discussed in this paper.
Keywords
, Left censoring, Maximum likelihood reconstructor, Best unbiased reconstructor, Conditional median reconstructor, Reconstruction interval, Highest conditional density.
@article{paperid:1018862,
author = {A. Asgharzadeha and Ahmadi, Jafar and Z. Mirzazadeh Ganji and R. Valiollahi},
title = {Reconstruction of the past failure times for the proportional reversed hazard rate model},
journal = {Journal of Statistical Computation and Simulation},
year = {2012},
volume = {82},
number = {3},
month = {February},
issn = {0094-9655},
pages = {475--489},
numpages = {14},
keywords = {Left censoring;
Maximum likelihood reconstructor; Best unbiased reconstructor;
Conditional median reconstructor; Reconstruction interval; Highest
conditional density.},
}
%0 Journal Article
%T Reconstruction of the past failure times for the proportional reversed hazard rate model
%A A. Asgharzadeha
%A Ahmadi, Jafar
%A Z. Mirzazadeh Ganji
%A R. Valiollahi
%J Journal of Statistical Computation and Simulation
%@ 0094-9655
%D 2012
