Exponentially Generated Modified Chen Distribution with Applications to Lifetime Dataset

In this paper, the exponentially generated system was used to modify a two-parameter Chen distribution to a four-parameter distribution with better performance. The property of complete probability distribution function was used to verify the completeness of the resulting distribution, which shows t...

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Main Authors: Awopeju Kabiru Abidemi, Alfred A. Abiodun
Format: Article
Language:English
Published: Wiley 2023-01-01
Series:Journal of Probability and Statistics
Online Access:http://dx.doi.org/10.1155/2023/4458562
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author Awopeju Kabiru Abidemi
Alfred A. Abiodun
author_facet Awopeju Kabiru Abidemi
Alfred A. Abiodun
author_sort Awopeju Kabiru Abidemi
collection DOAJ
description In this paper, the exponentially generated system was used to modify a two-parameter Chen distribution to a four-parameter distribution with better performance. The property of complete probability distribution function was used to verify the completeness of the resulting distribution, which shows that the distribution is a proper probability distribution function. A simulation study involving varying sample sizes was used to ascertain the asymptotic property of the new distribution. Small and large sample sizes were considered which shows the closeness of the estimates to the true value as the sample size increases. Lifetime dataset were used for model comparison which shows the superiority of exponentially generated modify Chen distribution over some existing distributions. It is therefore recommended to use the four-parameter Chen distribution in place of the well-known two-parameter Chen distribution.
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institution Kabale University
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language English
publishDate 2023-01-01
publisher Wiley
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series Journal of Probability and Statistics
spelling doaj-art-ed60e53312ab4373aba859e362fabb3a2025-02-03T06:47:46ZengWileyJournal of Probability and Statistics1687-95382023-01-01202310.1155/2023/4458562Exponentially Generated Modified Chen Distribution with Applications to Lifetime DatasetAwopeju Kabiru Abidemi0Alfred A. Abiodun1Department of StatisticsDepartment of StatisticsIn this paper, the exponentially generated system was used to modify a two-parameter Chen distribution to a four-parameter distribution with better performance. The property of complete probability distribution function was used to verify the completeness of the resulting distribution, which shows that the distribution is a proper probability distribution function. A simulation study involving varying sample sizes was used to ascertain the asymptotic property of the new distribution. Small and large sample sizes were considered which shows the closeness of the estimates to the true value as the sample size increases. Lifetime dataset were used for model comparison which shows the superiority of exponentially generated modify Chen distribution over some existing distributions. It is therefore recommended to use the four-parameter Chen distribution in place of the well-known two-parameter Chen distribution.http://dx.doi.org/10.1155/2023/4458562
spellingShingle Awopeju Kabiru Abidemi
Alfred A. Abiodun
Exponentially Generated Modified Chen Distribution with Applications to Lifetime Dataset
Journal of Probability and Statistics
title Exponentially Generated Modified Chen Distribution with Applications to Lifetime Dataset
title_full Exponentially Generated Modified Chen Distribution with Applications to Lifetime Dataset
title_fullStr Exponentially Generated Modified Chen Distribution with Applications to Lifetime Dataset
title_full_unstemmed Exponentially Generated Modified Chen Distribution with Applications to Lifetime Dataset
title_short Exponentially Generated Modified Chen Distribution with Applications to Lifetime Dataset
title_sort exponentially generated modified chen distribution with applications to lifetime dataset
url http://dx.doi.org/10.1155/2023/4458562
work_keys_str_mv AT awopejukabiruabidemi exponentiallygeneratedmodifiedchendistributionwithapplicationstolifetimedataset
AT alfredaabiodun exponentiallygeneratedmodifiedchendistributionwithapplicationstolifetimedataset