Likelihood and Bayesian intervals in the stress-strength model using records from the Pareto distribution of the second kind

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Main Author: Ayman, Baklizi
Other Authors: a.baklizi@qu.edu.qa
Format: Article
Language:English
Published: Institute of Engineering Mathematics, Universiti Malaysia Perlis 2023
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Online Access:http://dspace.unimap.edu.my:80/xmlui/handle/123456789/77695
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spelling my.unimap-776952023-01-24T12:49:48Z Likelihood and Bayesian intervals in the stress-strength model using records from the Pareto distribution of the second kind Ayman, Baklizi Ayman, Baklizi a.baklizi@qu.edu.qa Statistics Program, Department of Mathematics, Statistics and Physics, College of Arts and Science, Qatar University, 2713, Doha Qatar Confidence interval Pareto distribution Records Stress-strength reliability Link to publisher's homepage at https://amci.unimap.edu.my/ We consider likelihood and Bayesian inference in the stress-strength model using records from the Pareto distribution. Confidence intervals, including percentile intervals and intervals based on the maximum likelihood estimator are derived. Bayesian credible sets are also considered. Simulations are conducted to explore and compare the intervals in terms of their length and coverage probability. 2023-01-24T12:49:48Z 2023-01-24T12:49:48Z 2022-12 Article Applied Mathematics and Computational Intelligence (AMCI), vol.11(1), 2022, pages 114-103 2289-1315 (print) 2289-1323 (online) http://dspace.unimap.edu.my:80/xmlui/handle/123456789/77695 https://amci.unimap.edu.my/ en Institute of Engineering Mathematics, Universiti Malaysia Perlis
institution Universiti Malaysia Perlis
building UniMAP Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Perlis
content_source UniMAP Library Digital Repository
url_provider http://dspace.unimap.edu.my/
language English
topic Confidence interval
Pareto distribution
Records
Stress-strength reliability
spellingShingle Confidence interval
Pareto distribution
Records
Stress-strength reliability
Ayman, Baklizi
Ayman, Baklizi
Likelihood and Bayesian intervals in the stress-strength model using records from the Pareto distribution of the second kind
description Link to publisher's homepage at https://amci.unimap.edu.my/
author2 a.baklizi@qu.edu.qa
author_facet a.baklizi@qu.edu.qa
Ayman, Baklizi
Ayman, Baklizi
format Article
author Ayman, Baklizi
Ayman, Baklizi
author_sort Ayman, Baklizi
title Likelihood and Bayesian intervals in the stress-strength model using records from the Pareto distribution of the second kind
title_short Likelihood and Bayesian intervals in the stress-strength model using records from the Pareto distribution of the second kind
title_full Likelihood and Bayesian intervals in the stress-strength model using records from the Pareto distribution of the second kind
title_fullStr Likelihood and Bayesian intervals in the stress-strength model using records from the Pareto distribution of the second kind
title_full_unstemmed Likelihood and Bayesian intervals in the stress-strength model using records from the Pareto distribution of the second kind
title_sort likelihood and bayesian intervals in the stress-strength model using records from the pareto distribution of the second kind
publisher Institute of Engineering Mathematics, Universiti Malaysia Perlis
publishDate 2023
url http://dspace.unimap.edu.my:80/xmlui/handle/123456789/77695
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score 13.214268