The Half-Logistic Generalized Weibull Distribution
A new three-parameter generalized distribution, namely, half-logistic generalized Weibull (HLGW) distribution, is proposed. The proposed distribution exhibits increasing, decreasing, bathtub-shaped, unimodal, and decreasing-increasing-decreasing hazard rates. The distribution is a compound distribut...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Journal of Probability and Statistics |
| Online Access: | http://dx.doi.org/10.1155/2018/8767826 |
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| author | Masood Anwar Amna Bibi |
| author_facet | Masood Anwar Amna Bibi |
| author_sort | Masood Anwar |
| collection | DOAJ |
| description | A new three-parameter generalized distribution, namely, half-logistic generalized Weibull (HLGW) distribution, is proposed. The proposed distribution exhibits increasing, decreasing, bathtub-shaped, unimodal, and decreasing-increasing-decreasing hazard rates. The distribution is a compound distribution of type I half-logistic-G and Dimitrakopoulou distribution. The new model includes half-logistic Weibull distribution, half-logistic exponential distribution, and half-logistic Nadarajah-Haghighi distribution as submodels. Some distributional properties of the new model are investigated which include the density function shapes and the failure rate function, raw moments, moment generating function, order statistics, L-moments, and quantile function. The parameters involved in the model are estimated using the method of maximum likelihood estimation. The asymptotic distribution of the estimators is also investigated via Fisher’s information matrix. The likelihood ratio (LR) test is used to compare the HLGW distribution with its submodels. Some applications of the proposed distribution using real data sets are included to examine the usefulness of the distribution. |
| format | Article |
| id | doaj-art-bf8a4e0e43124d209e79a7356fcfe96a |
| institution | Kabale University |
| issn | 1687-952X 1687-9538 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Probability and Statistics |
| spelling | doaj-art-bf8a4e0e43124d209e79a7356fcfe96a2025-02-03T01:29:11ZengWileyJournal of Probability and Statistics1687-952X1687-95382018-01-01201810.1155/2018/87678268767826The Half-Logistic Generalized Weibull DistributionMasood Anwar0Amna Bibi1Department of Mathematics, COMSATS Institute of Information Technology, Park Road, Chak Shahzad, Islamabad, PakistanDepartment of Mathematics, COMSATS Institute of Information Technology, Park Road, Chak Shahzad, Islamabad, PakistanA new three-parameter generalized distribution, namely, half-logistic generalized Weibull (HLGW) distribution, is proposed. The proposed distribution exhibits increasing, decreasing, bathtub-shaped, unimodal, and decreasing-increasing-decreasing hazard rates. The distribution is a compound distribution of type I half-logistic-G and Dimitrakopoulou distribution. The new model includes half-logistic Weibull distribution, half-logistic exponential distribution, and half-logistic Nadarajah-Haghighi distribution as submodels. Some distributional properties of the new model are investigated which include the density function shapes and the failure rate function, raw moments, moment generating function, order statistics, L-moments, and quantile function. The parameters involved in the model are estimated using the method of maximum likelihood estimation. The asymptotic distribution of the estimators is also investigated via Fisher’s information matrix. The likelihood ratio (LR) test is used to compare the HLGW distribution with its submodels. Some applications of the proposed distribution using real data sets are included to examine the usefulness of the distribution.http://dx.doi.org/10.1155/2018/8767826 |
| spellingShingle | Masood Anwar Amna Bibi The Half-Logistic Generalized Weibull Distribution Journal of Probability and Statistics |
| title | The Half-Logistic Generalized Weibull Distribution |
| title_full | The Half-Logistic Generalized Weibull Distribution |
| title_fullStr | The Half-Logistic Generalized Weibull Distribution |
| title_full_unstemmed | The Half-Logistic Generalized Weibull Distribution |
| title_short | The Half-Logistic Generalized Weibull Distribution |
| title_sort | half logistic generalized weibull distribution |
| url | http://dx.doi.org/10.1155/2018/8767826 |
| work_keys_str_mv | AT masoodanwar thehalflogisticgeneralizedweibulldistribution AT amnabibi thehalflogisticgeneralizedweibulldistribution AT masoodanwar halflogisticgeneralizedweibulldistribution AT amnabibi halflogisticgeneralizedweibulldistribution |