Topp-Leone Alpha power family of distributions
Joint Authors
al-Halabawi, A. A.
al-Dayian, G..
Yahya, E. G.
Hozaien, H. E.
Source
Egyptian Journal of Commerce Studies
Issue
Vol. 46, Issue 3 (31 Jul. 2022), pp.1-21, 21 p.
Publisher
Mansoura University Faculty of Commerce
Publication Date
2022-07-31
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Topics
Abstract EN
In this paper, Topp-Leone alpha power family of distributions is presented based on the method called alpha power transformation which is suggested by Mahdavi and Kundu (2016).
The Topp-Leone alpha power family of distributions is rich and flexible for modeling data.
Some statistical properties of the proposed family are studied including quantile function, moments and moment generating function, mean residual life, and order statistics.
Also, the results of the paper are specialized to Topp-Leone alpha power Weibull distribution.
Some of its statistical properties are obtained.
Moreover, the maximum likelihood estimators of the unknown parameters of the Topp-Leone alpha power Weibull distribution are obtained.
A simulation study is conducted to evaluate the performance of the maximum likelihood estimators of the parameters of the Topp-Leone alpha power Weibull distribution.
Finally, a real data set is applied, and the results show that the Topp-Leone alpha power Weibull distribution is more appropriate as compared to the Topp-Leone exponential, alpha power Weibull, and Weibull distributions.
American Psychological Association (APA)
Hozaien, H. E.& al-Dayian, G..& Yahya, E. G.& al-Halabawi, A. A.. 2022. Topp-Leone Alpha power family of distributions. Egyptian Journal of Commerce Studies،Vol. 46, no. 3, pp.1-21.
https://search.emarefa.net/detail/BIM-1425683
Modern Language Association (MLA)
al-Halabawi, A. A.…[et al.]. Topp-Leone Alpha power family of distributions. Egyptian Journal of Commerce Studies Vol. 46, no. 3 (2022), pp.1-21.
https://search.emarefa.net/detail/BIM-1425683
American Medical Association (AMA)
Hozaien, H. E.& al-Dayian, G..& Yahya, E. G.& al-Halabawi, A. A.. Topp-Leone Alpha power family of distributions. Egyptian Journal of Commerce Studies. 2022. Vol. 46, no. 3, pp.1-21.
https://search.emarefa.net/detail/BIM-1425683
Data Type
Journal Articles
Language
English
Notes
-
Record ID
BIM-1425683