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A Flexible Reduced Logarithmic-X Family of Distributions with Biomedical Analysis
Joint Authors
Khan, Dost Muhammad
Khosa, Saima K.
Ahmad, Zubair
Liu, Yinglin
Ilyas, Muhammad
Muhmoudi, Eisa
Hamedani, G. G
Source
Computational and Mathematical Methods in Medicine
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-02-20
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
Statistical distributions play a prominent role in applied sciences, particularly in biomedical sciences.
The medical data sets are generally skewed to the right, and skewed distributions can be used quite effectively to model such data sets.
In the present study, therefore, we propose a new family of distributions to model right skewed medical data sets.
The proposed family may be named as a flexible reduced logarithmic-X family.
The proposed family can be obtained via reparameterizing the exponentiated Kumaraswamy G-logarithmic family and the alpha logarithmic family of distributions.
A special submodel of the proposed family called, a flexible reduced logarithmic-Weibull distribution, is discussed in detail.
Some mathematical properties of the proposed family and certain related characterization results are presented.
The maximum likelihood estimators of the model parameters are obtained.
A brief Monte Carlo simulation study is done to evaluate the performance of these estimators.
Finally, for the illustrative purposes, three applications from biomedical sciences are analyzed and the goodness of fit of the proposed distribution is compared to some well-known competitors.
American Psychological Association (APA)
Liu, Yinglin& Ilyas, Muhammad& Khosa, Saima K.& Muhmoudi, Eisa& Ahmad, Zubair& Khan, Dost Muhammad…[et al.]. 2020. A Flexible Reduced Logarithmic-X Family of Distributions with Biomedical Analysis. Computational and Mathematical Methods in Medicine،Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1139438
Modern Language Association (MLA)
Liu, Yinglin…[et al.]. A Flexible Reduced Logarithmic-X Family of Distributions with Biomedical Analysis. Computational and Mathematical Methods in Medicine No. 2020 (2020), pp.1-15.
https://search.emarefa.net/detail/BIM-1139438
American Medical Association (AMA)
Liu, Yinglin& Ilyas, Muhammad& Khosa, Saima K.& Muhmoudi, Eisa& Ahmad, Zubair& Khan, Dost Muhammad…[et al.]. A Flexible Reduced Logarithmic-X Family of Distributions with Biomedical Analysis. Computational and Mathematical Methods in Medicine. 2020. Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1139438
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1139438