Journal of Applied Statistics, ( ISI ), Volume (46), No (7), Year (2019-5) , Pages (1196-1227)

Title : ( Pareto analysis for the lifetime performance index of products on the basis of progressively first-failure-censored batches under balanced symmetric and asymmetric loss functions )

Authors: محمد ولی احمدی , Mahdi Doostparast ,

Citation: BibTeX | EndNote

Abstract

One of the most important topics in manufacturing industries is the evaluation of performance lifetimes of products. Based on a given lifetime performance index, this paper deals with evaluating the performance of a process subject to a given lower specification limit. We confine ourselves to the progressively first-failure-censored data coming from a common Pareto distribution. With both the Bayesian and the non-Bayesian approaches being investigated here, we pay more attention to Bayesian estimators under balanced type loss functions. The results are presented under the balanced versions of two well-known loss functions, namely the squared error loss and the Varian’s linear-exponential -LINEX- loss. Moreover, based on the Bayesian and the non-Bayesian approaches, the problem of testing hypotheses on the lifetime performance index is studied. Also, a simulation study is performed to assess the obtained results. Finally, two illustrative examples are given.

Keywords

, Balanced type loss function; Bayesian estimate; Lifetime performance index; Pareto distribution; Progressively first, failure, censored batches
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@article{paperid:1070761,
author = {محمد ولی احمدی and Doostparast, Mahdi},
title = {Pareto analysis for the lifetime performance index of products on the basis of progressively first-failure-censored batches under balanced symmetric and asymmetric loss functions},
journal = {Journal of Applied Statistics},
year = {2019},
volume = {46},
number = {7},
month = {May},
issn = {0266-4763},
pages = {1196--1227},
numpages = {31},
keywords = {Balanced type loss function; Bayesian estimate; Lifetime performance index; Pareto distribution; Progressively first-failure-censored batches},
}

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%0 Journal Article
%T Pareto analysis for the lifetime performance index of products on the basis of progressively first-failure-censored batches under balanced symmetric and asymmetric loss functions
%A محمد ولی احمدی
%A Doostparast, Mahdi
%J Journal of Applied Statistics
%@ 0266-4763
%D 2019

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