Application of Gompertz-Poisson Distribution in LifetimeTheory
Gompertz-Poisson distribution is a three-parameter lifetime distribution with increasing, decreasing, increasing-decreasing and unimodal shape failure rate function and a composition of Gompertz and Poisson distributions cut at zero point that in this paper estimated the parameters of the distributi...
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| Format: | Article |
| Language: | fas |
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Kharazmi University
2017-12-01
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| Series: | پژوهشهای ریاضی |
| Subjects: | |
| Online Access: | http://mmr.khu.ac.ir/article-1-2697-en.html |
| _version_ | 1797871699253788672 |
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| author | Shahram Yaghoubzadeh Shahrestani |
| author_facet | Shahram Yaghoubzadeh Shahrestani |
| author_sort | Shahram Yaghoubzadeh Shahrestani |
| collection | DOAJ |
| description | Gompertz-Poisson distribution is a three-parameter lifetime distribution with increasing, decreasing, increasing-decreasing and unimodal shape failure rate function and a composition of Gompertz and Poisson distributions cut at zero point that in this paper estimated the parameters of the distribution by maximum likelihood method and in order to confirm the calculated estimates, based on random sample with volumes of 100, 200, 300, 400 and 500 of Gompertz-Poisson distribution simulation study was conducted. Also with the help of two real data sets and comparing Gompertz-Poisson distribution with several other distributions of lifetime we show this distribution is a good model for data fitness related to lifetime../files/site1/files/0Abstract7.pdf |
| first_indexed | 2024-04-10T00:46:51Z |
| format | Article |
| id | doaj.art-178829a3925b401597d8180f55bcb3aa |
| institution | Directory Open Access Journal |
| issn | 2588-2546 2588-2554 |
| language | fas |
| last_indexed | 2024-04-10T00:46:51Z |
| publishDate | 2017-12-01 |
| publisher | Kharazmi University |
| record_format | Article |
| series | پژوهشهای ریاضی |
| spelling | doaj.art-178829a3925b401597d8180f55bcb3aa2023-03-13T19:18:58ZfasKharazmi Universityپژوهشهای ریاضی2588-25462588-25542017-12-0133155164Application of Gompertz-Poisson Distribution in LifetimeTheoryShahram Yaghoubzadeh Shahrestani0 Gompertz-Poisson distribution is a three-parameter lifetime distribution with increasing, decreasing, increasing-decreasing and unimodal shape failure rate function and a composition of Gompertz and Poisson distributions cut at zero point that in this paper estimated the parameters of the distribution by maximum likelihood method and in order to confirm the calculated estimates, based on random sample with volumes of 100, 200, 300, 400 and 500 of Gompertz-Poisson distribution simulation study was conducted. Also with the help of two real data sets and comparing Gompertz-Poisson distribution with several other distributions of lifetime we show this distribution is a good model for data fitness related to lifetime../files/site1/files/0Abstract7.pdfhttp://mmr.khu.ac.ir/article-1-2697-en.htmlgompertz distributionpossion distributiongompertz-possion distributionmaximum liklihood estimation |
| spellingShingle | Shahram Yaghoubzadeh Shahrestani Application of Gompertz-Poisson Distribution in LifetimeTheory پژوهشهای ریاضی gompertz distribution possion distribution gompertz-possion distribution maximum liklihood estimation |
| title | Application of Gompertz-Poisson Distribution in LifetimeTheory |
| title_full | Application of Gompertz-Poisson Distribution in LifetimeTheory |
| title_fullStr | Application of Gompertz-Poisson Distribution in LifetimeTheory |
| title_full_unstemmed | Application of Gompertz-Poisson Distribution in LifetimeTheory |
| title_short | Application of Gompertz-Poisson Distribution in LifetimeTheory |
| title_sort | application of gompertz poisson distribution in lifetimetheory |
| topic | gompertz distribution possion distribution gompertz-possion distribution maximum liklihood estimation |
| url | http://mmr.khu.ac.ir/article-1-2697-en.html |
| work_keys_str_mv | AT shahramyaghoubzadehshahrestani applicationofgompertzpoissondistributioninlifetimetheory |