Likelihood Ratio Test and Non-parametric Test for Load Sharing

In present article, we propose a likelihood ratio test and a non-parametric test for testing the load sharing effect observed in the two component parallel load sharing system. We have modeled the load sharing phenomenon observed in such system by the exponentiated conditional distribution function...

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Main Author: Santosh Shashikant Sutar
Format: Article
Language:English
Published: Austrian Statistical Society 2021-02-01
Series:Austrian Journal of Statistics
Online Access:http://www.ajs.or.at/index.php/ajs/article/view/979
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author Santosh Shashikant Sutar
author_facet Santosh Shashikant Sutar
author_sort Santosh Shashikant Sutar
collection DOAJ
description In present article, we propose a likelihood ratio test and a non-parametric test for testing the load sharing effect observed in the two component parallel load sharing system. We have modeled the load sharing phenomenon observed in such system by the exponentiated conditional distribution function based load sharing model proposed by Sutar and Naik-Nimbalkar (2016). We have taken component baseline distribution as Weibull distribution and linear failure rate distribution. The simulation study to see the performance of proposed test procedures is reported. We analyze two data sets for illustrative purpose.
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spelling doaj.art-2b269fc69932496cbcf8c25e73e260d42022-12-21T17:23:20ZengAustrian Statistical SocietyAustrian Journal of Statistics1026-597X2021-02-0150110.17713/ajs.v50i1.979Likelihood Ratio Test and Non-parametric Test for Load SharingSantosh Shashikant Sutar0Shivaji University, Kolhapur, MaharashtraIn present article, we propose a likelihood ratio test and a non-parametric test for testing the load sharing effect observed in the two component parallel load sharing system. We have modeled the load sharing phenomenon observed in such system by the exponentiated conditional distribution function based load sharing model proposed by Sutar and Naik-Nimbalkar (2016). We have taken component baseline distribution as Weibull distribution and linear failure rate distribution. The simulation study to see the performance of proposed test procedures is reported. We analyze two data sets for illustrative purpose.http://www.ajs.or.at/index.php/ajs/article/view/979
spellingShingle Santosh Shashikant Sutar
Likelihood Ratio Test and Non-parametric Test for Load Sharing
Austrian Journal of Statistics
title Likelihood Ratio Test and Non-parametric Test for Load Sharing
title_full Likelihood Ratio Test and Non-parametric Test for Load Sharing
title_fullStr Likelihood Ratio Test and Non-parametric Test for Load Sharing
title_full_unstemmed Likelihood Ratio Test and Non-parametric Test for Load Sharing
title_short Likelihood Ratio Test and Non-parametric Test for Load Sharing
title_sort likelihood ratio test and non parametric test for load sharing
url http://www.ajs.or.at/index.php/ajs/article/view/979
work_keys_str_mv AT santoshshashikantsutar likelihoodratiotestandnonparametrictestforloadsharing