Statistics, Optimization and Information Computing, Volume (8), No (2), Year (2020-5) , Pages (462-470)

Title : ( Statistical Inference on the Basis of Sequential Order Statistics under a Linear Trend for Conditional Proportional Hazard Rates )

Authors: Majid Hashempour , Zohreh Pakdaman , Mahdi Doostparast ,

Citation: BibTeX | EndNote

Abstract

This paper deals with systems consisting of independent and heterogeneous exponential components. Since failures of components may change lifetimes of surviving components because of load sharing, a linear trend for conditionally proportional hazard rates is considered. Estimates of parameters, both point and interval estimates, are derived on the basis of observed component failures for s( 2) systems. Fisher information matrix of the available data is also obtained which can be used for studying asymptotic behaviour of estimates. The generalized likelihood ratio test is implemented for testing homogeneity of s systems. Illustrative examples are also given.

Keywords

, Dynamic systems, Linear trend model, Exponential distribution, Hazard function
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@article{paperid:1079656,
author = {مجید هاشم پور and زهره پاکدامن and Doostparast, Mahdi},
title = {Statistical Inference on the Basis of Sequential Order Statistics under a Linear Trend for Conditional Proportional Hazard Rates},
journal = {Statistics, Optimization and Information Computing},
year = {2020},
volume = {8},
number = {2},
month = {May},
issn = {2311-004X},
pages = {462--470},
numpages = {8},
keywords = {Dynamic systems; Linear trend model; Exponential distribution; Hazard function},
}

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%0 Journal Article
%T Statistical Inference on the Basis of Sequential Order Statistics under a Linear Trend for Conditional Proportional Hazard Rates
%A مجید هاشم پور
%A زهره پاکدامن
%A Doostparast, Mahdi
%J Statistics, Optimization and Information Computing
%@ 2311-004X
%D 2020

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