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

• Authors: Subrata Chakraburty , Morad Alizadeh , Laba Handique , Emrah Altun , G. G. Hamedani

Abstracts

EN

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.

Keywords

EN

T − X method; regression; simulation; estimation

• Publisher: Główny Urząd Statystyczny
• Journal: Statistics in Transition new series
• Year: 2021
• Volume: 22
• Issue: 4
• Pages: 77-100

Contributors

author

Subrata Chakraburty

• Department of Statistics, Dibrugarh University, Dibrugarh-786004, India

• https://orcid.org/0000000264051486

author

Morad Alizadeh

• Department of Statistics, Faculty of Intelligent Systems Engineering and Data Science, Persian Gulf University, Bushehr, 75169, Iran

• https://orcid.org/0000000166382185

author

Laba Handique

• Department of Mathematics and Statistics, Golaghat Commerce College, Dibrugarh University, India

• https://orcid.org/0000000192552918

author

Emrah Altun

• Department of Mathematics, Bartin University, Bartin 74100, Turkey

• https://orcid.org/0000000150652523

author

G. G. Hamedani

• Department of Mathematical and Statistical Sciences Marquette University, USA

• https://orcid.org/0000000179761088

Identifiers

DOI

10.21307/stattrans-2021-039

Biblioteka Nauki

1917112