Accelerated life tests for modified Kies exponential lifetime distribution: binomial removal, transformers turn insulation application and numerical results
This paper is concerned with statistical inference of multiple constant-stress testing for progressive type-II censored data with binomial removal. The failure times of the test units are assumed to be independent and follow the modified Kies exponential (MKEx) distribution. The maximum likelihood m...
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doaj-ca906902df674fce81650821b067454d2021-03-19T01:21:56ZengAIMS PressAIMS Mathematics2473-69882021-03-01655222525510.3934/math.2021310Accelerated life tests for modified Kies exponential lifetime distribution: binomial removal, transformers turn insulation application and numerical resultsA. M. Abd El-Raheem0Ehab M. Almetwally 1M. S. Mohamed2E. H. Hafez 31. Department of Mathematics, Faculty of Education, Ain Shams University, Cairo 11566, Egypt2. Faculty of Business Administration, Delta University of Science and Technology, Egypt3. Department of Mathematics, College of Science, Taif University, P. O. Box 11099, Taif 21944, Saudi Arabia4. Department of Mathematics, Faculty of Science, Helwan University, Cairo 11795, EgyptThis paper is concerned with statistical inference of multiple constant-stress testing for progressive type-II censored data with binomial removal. The failure times of the test units are assumed to be independent and follow the modified Kies exponential (MKEx) distribution. The maximum likelihood method as well as Bayes method are used to derive both point and interval estimates of the parameters. Furthermore, a real data application for transformers turn insulation is used to illustrate the proposed methods. Moreover, this real data set is used to show that MKEx distribution can be a possible alternative model to the exponential, generalized exponential and Weibull distributions. Finally, simulation studies are carried out to investigate the accuracy of the different estimation methods.http://www.aimspress.com/article/doi/10.3934/math.2021310?viewType=HTMLmodified kies familyconstant-stressprogressive type-ii censoringmaximum likelihoodbayesian estimationmodified kolmogorov-smirnov |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
A. M. Abd El-Raheem Ehab M. Almetwally M. S. Mohamed E. H. Hafez |
spellingShingle |
A. M. Abd El-Raheem Ehab M. Almetwally M. S. Mohamed E. H. Hafez Accelerated life tests for modified Kies exponential lifetime distribution: binomial removal, transformers turn insulation application and numerical results AIMS Mathematics modified kies family constant-stress progressive type-ii censoring maximum likelihood bayesian estimation modified kolmogorov-smirnov |
author_facet |
A. M. Abd El-Raheem Ehab M. Almetwally M. S. Mohamed E. H. Hafez |
author_sort |
A. M. Abd El-Raheem |
title |
Accelerated life tests for modified Kies exponential lifetime distribution: binomial removal, transformers turn insulation application and numerical results |
title_short |
Accelerated life tests for modified Kies exponential lifetime distribution: binomial removal, transformers turn insulation application and numerical results |
title_full |
Accelerated life tests for modified Kies exponential lifetime distribution: binomial removal, transformers turn insulation application and numerical results |
title_fullStr |
Accelerated life tests for modified Kies exponential lifetime distribution: binomial removal, transformers turn insulation application and numerical results |
title_full_unstemmed |
Accelerated life tests for modified Kies exponential lifetime distribution: binomial removal, transformers turn insulation application and numerical results |
title_sort |
accelerated life tests for modified kies exponential lifetime distribution: binomial removal, transformers turn insulation application and numerical results |
publisher |
AIMS Press |
series |
AIMS Mathematics |
issn |
2473-6988 |
publishDate |
2021-03-01 |
description |
This paper is concerned with statistical inference of multiple constant-stress testing for progressive type-II censored data with binomial removal. The failure times of the test units are assumed to be independent and follow the modified Kies exponential (MKEx) distribution. The maximum likelihood method as well as Bayes method are used to derive both point and interval estimates of the parameters. Furthermore, a real data application for transformers turn insulation is used to illustrate the proposed methods. Moreover, this real data set is used to show that MKEx distribution can be a possible alternative model to the exponential, generalized exponential and Weibull distributions. Finally, simulation studies are carried out to investigate the accuracy of the different estimation methods. |
topic |
modified kies family constant-stress progressive type-ii censoring maximum likelihood bayesian estimation modified kolmogorov-smirnov |
url |
http://www.aimspress.com/article/doi/10.3934/math.2021310?viewType=HTML |
work_keys_str_mv |
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