A NEW DISTRIBUTION FOR EXTREME VALUES: REGRESSION MODEL, CHARACTERIZATIONS AND APPLICATIONS

A new four parameter extreme value distribution is defined and studied. Various structural properties of the proposed distribution including ordinary and incomplete moments, generating functions, residual and reversed residual life functions, order statistics are investigated. Some useful characteri...

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Bibliographic Details
Published in:	Journal of Data Science Vol. 16; no. 4; pp. 677 - 706
Main Authors:	Yousof, H.M., Jahanshahi, S.M.A., Ramires, T.G., Aryal, G.R., Hamedani, G.G.
Format:	Journal Article
Language:	English
Published:	中華資料採礦協會 24-02-2021
Subjects:	Parameter estimation Simulation Regression model Extreme value distribution Order statistics
Online Access:	Get full text
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Summary:	A new four parameter extreme value distribution is defined and studied. Various structural properties of the proposed distribution including ordinary and incomplete moments, generating functions, residual and reversed residual life functions, order statistics are investigated. Some useful characterizations based on two truncated moments as well as based on the reverse hazard function and on certain functions of the random variable are presented. The maximum likelihood method is used to estimate the model parameters. Further, we propose a new extended regression model based on the logarithm of the new distribution. The new distribution is applied to model three real data sets to prove empirically its flexibility.
ISSN:	1683-8602 1680-743X 1683-8602
DOI:	10.6339/JDS.201810_16(4).00002