A New Extended-X Family of Distributions: Properties and Applications
Joint Authors
Manzoor, Sadaf
Khan, Dost Muhammad
Ahmad, Zubair
Ilyas, Muhammad
Zichuan, Mi
Hussain, Saddam
Iftikhar, Anum
Source
Computational and Mathematical Methods in Medicine
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-05-26
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
During the past couple of years, statistical distributions have been widely used in applied areas such as reliability engineering, medical, and financial sciences.
In this context, we come across a diverse range of statistical distributions for modeling heavy tailed data sets.
Well-known distributions are log-normal, log-t, various versions of Pareto, log-logistic, Weibull, gamma, exponential, Rayleigh and its variants, and generalized beta of the second kind distributions, among others.
In this paper, we try to supplement the distribution theory literature by incorporating a new model, called a new extended Weibull distribution.
The proposed distribution is very flexible and exhibits desirable properties.
Maximum likelihood estimators of the model parameters are obtained, and a Monte Carlo simulation study is conducted to assess the behavior of these estimators.
Finally, we provide a comparative study of the newly proposed and some other existing methods via analyzing three real data sets from different disciplines such as reliability engineering, medical, and financial sciences.
It has been observed that the proposed method outclasses well-known distributions on the basis of model selection criteria.
American Psychological Association (APA)
Zichuan, Mi& Hussain, Saddam& Iftikhar, Anum& Ilyas, Muhammad& Ahmad, Zubair& Khan, Dost Muhammad…[et al.]. 2020. A New Extended-X Family of Distributions: Properties and Applications. Computational and Mathematical Methods in Medicine،Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1139447
Modern Language Association (MLA)
Zichuan, Mi…[et al.]. A New Extended-X Family of Distributions: Properties and Applications. Computational and Mathematical Methods in Medicine No. 2020 (2020), pp.1-13.
https://search.emarefa.net/detail/BIM-1139447
American Medical Association (AMA)
Zichuan, Mi& Hussain, Saddam& Iftikhar, Anum& Ilyas, Muhammad& Ahmad, Zubair& Khan, Dost Muhammad…[et al.]. A New Extended-X Family of Distributions: Properties and Applications. Computational and Mathematical Methods in Medicine. 2020. Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1139447
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1139447