Likelihood and Bayesian intervals in the stress-strength model using records from the Pareto distribution of the second kind
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Institute of Engineering Mathematics, Universiti Malaysia Perlis
2023
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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 |
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Confidence interval Pareto distribution Records Stress-strength reliability |
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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 |
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Link to publisher's homepage at https://amci.unimap.edu.my/ |
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a.baklizi@qu.edu.qa |
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a.baklizi@qu.edu.qa Ayman, Baklizi Ayman, Baklizi |
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Ayman, Baklizi Ayman, Baklizi |
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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 |
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2023 |
url |
http://dspace.unimap.edu.my:80/xmlui/handle/123456789/77695 |
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1772813097851944960 |
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13.214268 |