Two Weighted Distributions Generated by Exponential Distribution
In this paper, we propose new classes of weighted distributions by incorporating exponential distribution in Azzalini’s method. Resulting weighted models generated by exponential distribution are: the weighted gamma-exponential model and the weighted generalized exponenatial- exponential model....
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| Format: | Article |
| Language: | English |
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Islamic Azad University
2015-03-01
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| Series: | Journal of Mathematical Extension |
| Subjects: | |
| Online Access: | http://ijmex.com/index.php/ijmex/article/view/267/188 |
| _version_ | 1831637308505325568 |
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| author | A. Mahdavi |
| author_facet | A. Mahdavi |
| author_sort | A. Mahdavi |
| collection | DOAJ |
| description | In this paper, we propose new classes of weighted distributions
by incorporating exponential distribution in Azzalini’s method. Resulting
weighted models generated by exponential distribution are: the
weighted gamma-exponential model and the weighted generalized exponenatial-
exponential model. The hazard rate function of these distributions
has different shapes including increasing, decreasing and unimodal.
The moment properties of the proposed distributions are studied.
Maximum likelihood estimators (MLEs) of the unknown parameters
cannot be obtained in explicit forms and they have to be obtained by
solving some numerical methods. Two data sets have been analyzed for
illustrative purposes, which show that the proposed models can be used
quite effectively in analyzing real data. |
| first_indexed | 2024-12-19T06:49:14Z |
| format | Article |
| id | doaj.art-88f44e8c419b4b47bc65a7e862c4248d |
| institution | Directory Open Access Journal |
| issn | 1735-8299 1735-8299 |
| language | English |
| last_indexed | 2024-12-19T06:49:14Z |
| publishDate | 2015-03-01 |
| publisher | Islamic Azad University |
| record_format | Article |
| series | Journal of Mathematical Extension |
| spelling | doaj.art-88f44e8c419b4b47bc65a7e862c4248d2022-12-21T20:31:48ZengIslamic Azad UniversityJournal of Mathematical Extension1735-82991735-82992015-03-0191112Two Weighted Distributions Generated by Exponential DistributionA. Mahdavi 0Vali-e-Asr University of RafsanjanIn this paper, we propose new classes of weighted distributions by incorporating exponential distribution in Azzalini’s method. Resulting weighted models generated by exponential distribution are: the weighted gamma-exponential model and the weighted generalized exponenatial- exponential model. The hazard rate function of these distributions has different shapes including increasing, decreasing and unimodal. The moment properties of the proposed distributions are studied. Maximum likelihood estimators (MLEs) of the unknown parameters cannot be obtained in explicit forms and they have to be obtained by solving some numerical methods. Two data sets have been analyzed for illustrative purposes, which show that the proposed models can be used quite effectively in analyzing real data.http://ijmex.com/index.php/ijmex/article/view/267/188Exponential distributiongamma distributiongeneralized exponential distributionhazard rate functionmoment generating function |
| spellingShingle | A. Mahdavi Two Weighted Distributions Generated by Exponential Distribution Journal of Mathematical Extension Exponential distribution gamma distribution generalized exponential distribution hazard rate function moment generating function |
| title | Two Weighted Distributions Generated by Exponential Distribution |
| title_full | Two Weighted Distributions Generated by Exponential Distribution |
| title_fullStr | Two Weighted Distributions Generated by Exponential Distribution |
| title_full_unstemmed | Two Weighted Distributions Generated by Exponential Distribution |
| title_short | Two Weighted Distributions Generated by Exponential Distribution |
| title_sort | two weighted distributions generated by exponential distribution |
| topic | Exponential distribution gamma distribution generalized exponential distribution hazard rate function moment generating function |
| url | http://ijmex.com/index.php/ijmex/article/view/267/188 |
| work_keys_str_mv | AT amahdavi twoweighteddistributionsgeneratedbyexponentialdistribution |