International Journal of System Assurance Engineering and Management, Volume (10), No (2), Year (2019-4) , Pages (251-275)

Title : ( Evaluating the lifetime performance index of products based on generalized order statistics from two-parameter exponential model )

Authors: Jafar Ahmadi ,

Access to full-text not allowed by authors

Citation: BibTeX | EndNote

Abstract

Assessing the lifetime performance of products is one of the most important topics in the man- ufacturing industries. In this paper, we assume that the lifetimes of products are independent and have a common two-parameter exponential distribution. The lifetime performance index -CL- pro- vides a means for evaluating the performance of a process under a known lower lifetime limit L. We consider a sample of generalized order statistics -GOS-, introduced by Kamps [1], which contains several models of ordered random variables, e.g. ordinary order statistics, progressively censored order statistics and record values. Then, we obtain the maximum likelihood estimator -MLE- and the uniformly minimum variance unbiased estimator -UMVUE- of CL on the basis of a GOS sample. These estimators are compared in terms of mean squared error -MSE- and Pitman measure of close- ness -PMC- criteria. The UMVUE of CL is utilized to develop a novel hypothesis testing procedure in the condition of known L. Finally, in order to illustrate the results, two real data sets due to Lawless [2] and Proschan [3], and a simulated sample are analyzed.

Keywords

, Generalized order statistics; Two, parameter exponential distribution; lifetime performance index; Hypothesis testing
برای دانلود از شناسه و رمز عبور پرتال پویا استفاده کنید.

@article{paperid:1073298,
author = {Ahmadi, Jafar},
title = {Evaluating the lifetime performance index of products based on generalized order statistics from two-parameter exponential model},
journal = {International Journal of System Assurance Engineering and Management},
year = {2019},
volume = {10},
number = {2},
month = {April},
issn = {0975-6809},
pages = {251--275},
numpages = {24},
keywords = {Generalized order statistics; Two-parameter exponential distribution; lifetime performance index; Hypothesis testing},
}

[Download]

%0 Journal Article
%T Evaluating the lifetime performance index of products based on generalized order statistics from two-parameter exponential model
%A Ahmadi, Jafar
%J International Journal of System Assurance Engineering and Management
%@ 0975-6809
%D 2019

[Download]