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Alpha Power Transformed Inverse Lomax Distribution with Different Methods of Estimation and Applications
Joint Authors
ZeinEldin, Ramadan A.
Ahsan ul Haq, Muhammad
Hashmi, Sharqa
Elsehety, Mahmoud
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-02-27
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
In this paper, a new three-parameter lifetime distribution, alpha power transformed inverse Lomax (APTIL) distribution, is proposed.
The APTIL distribution is more flexible than inverse Lomax distribution.
We derived some mathematical properties including moments, moment generating function, quantile function, mode, stress strength reliability, and order statistics.
Characterization related to hazard rate function is also derived.
The model parameters are estimated using eight estimation methods including maximum likelihood, least squares, weighted least squares, percentile, Cramer–von Mises, maximum product of spacing, Anderson–Darling, and right-tail Anderson–Darling.
Numerical results are calculated to compare the performance of these estimation methods.
Finally, we used three real-life datasets to show the flexibility of the APTIL distribution.
American Psychological Association (APA)
ZeinEldin, Ramadan A.& Ahsan ul Haq, Muhammad& Hashmi, Sharqa& Elsehety, Mahmoud. 2020. Alpha Power Transformed Inverse Lomax Distribution with Different Methods of Estimation and Applications. Complexity،Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1139966
Modern Language Association (MLA)
ZeinEldin, Ramadan A.…[et al.]. Alpha Power Transformed Inverse Lomax Distribution with Different Methods of Estimation and Applications. Complexity No. 2020 (2020), pp.1-15.
https://search.emarefa.net/detail/BIM-1139966
American Medical Association (AMA)
ZeinEldin, Ramadan A.& Ahsan ul Haq, Muhammad& Hashmi, Sharqa& Elsehety, Mahmoud. Alpha Power Transformed Inverse Lomax Distribution with Different Methods of Estimation and Applications. Complexity. 2020. Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1139966
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1139966