A new extension of Odd Half-Cauchy Family of Distributions: properties and applications with regression modeling


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Statistics in Transition New Series

Polish Statistical Association

Central Statistical Office of Poland

Subject: Economics, Statistics & Probability


ISSN: 1234-7655
eISSN: 2450-0291





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VOLUME 22 , ISSUE 4 (December 2021) > List of articles

A new extension of Odd Half-Cauchy Family of Distributions: properties and applications with regression modeling

Subrata Chakraburty * / Morad Alizadeh * / Laba Handique * / Emrah Altun * / G. G. Hamedani *

Keywords : T −X method; regression; simulation; estimation

Citation Information : Statistics in Transition New Series. Volume 22, Issue 4, Pages 77-100, DOI: https://doi.org/10.21307/stattrans-2021-039

License : (CC BY-NC-ND 4.0)

Received Date : 21-January-2019 / Accepted: 06-April-2021 / Published Online: 08-December-2021



The paper proposes a new family of continuous distributions called the extended odd half Cauchy-G. It is based on the T − X construction of Alzaatreh et al. (2013) by considering half Cauchy distribution for T and the exponentiated G(x;ξ) as the distribution of X. Several particular cases are outlined and a number of important statistical characteristics of this family are investigated. Parameter estimation via several methods, including maximum likelihood, is discussed and followed up with simulation experiments aiming to asses their performances. Real life applications of modeling two data sets are presented to demonstrate the advantage of the proposed family of distributions over selected existing ones. Finally, a new regression model is proposed and its application in modeling data in the presence of covariates is presented.

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