The Half-Logistic Generalized Weibull Distribution
Joint Authors
Source
Journal of Probability and Statistics
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-01-04
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Anwar, Masood& Bibi, Amna. 2018. The Half-Logistic Generalized Weibull Distribution. Journal of Probability and Statistics،Vol. 2018, no. 2018, pp.1-12.
https://search.emarefa.net/detail/BIM-1197707
Modern Language Association (MLA)
Anwar, Masood& Bibi, Amna. The Half-Logistic Generalized Weibull Distribution. Journal of Probability and Statistics No. 2018 (2018), pp.1-12.
https://search.emarefa.net/detail/BIM-1197707
American Medical Association (AMA)
Anwar, Masood& Bibi, Amna. The Half-Logistic Generalized Weibull Distribution. Journal of Probability and Statistics. 2018. Vol. 2018, no. 2018, pp.1-12.
https://search.emarefa.net/detail/BIM-1197707
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1197707