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Alpha Power Transformed Log-Logistic Distribution with Application to Breaking Stress Data
Author
Source
Advances in Mathematical Physics
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-04-17
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
In this paper, a new three-parameter lifetime distribution is introduced; the new model is a generalization of the log-logistic (LL) model, and it is called the alpha power transformed log-logistic (APTLL) distribution.
The APTLL distribution is more flexible than some generalizations of log-logistic distribution.
We derived some mathematical properties including moments, moment-generating function, quantile function, Rényi entropy, and order statistics of the new model.
The model parameters are estimated using maximum likelihood method of estimation.
The simulation study is performed to investigate the effectiveness of the estimates.
Finally, we used one real-life dataset to show the flexibility of the APTLL distribution.
American Psychological Association (APA)
Aldahlan, Maha A.. 2020. Alpha Power Transformed Log-Logistic Distribution with Application to Breaking Stress Data. Advances in Mathematical Physics،Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1127318
Modern Language Association (MLA)
Aldahlan, Maha A.. Alpha Power Transformed Log-Logistic Distribution with Application to Breaking Stress Data. Advances in Mathematical Physics No. 2020 (2020), pp.1-9.
https://search.emarefa.net/detail/BIM-1127318
American Medical Association (AMA)
Aldahlan, Maha A.. Alpha Power Transformed Log-Logistic Distribution with Application to Breaking Stress Data. Advances in Mathematical Physics. 2020. Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1127318
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1127318