The Balakrishnan-Alpha-Beta-Skew-Normal Distribution: Properties and Applications | [Pakistan Journal of Statistics and Operation Research • 2021]

Author(s):

1. Sricharan Shah: Department of Statistics, Dibrugarh University,Dibrugarh, 786004, Assam,India

2. Partha Jyoti Hazarika: . Department of Statistics, Dibrugarh University,Dibrugarh, 786004, Assam,India

3. Subrata Chakraborty: Department of Statistics, Dibrugarh University,Dibrugarh, 786004, Assam,IndiaMathematical Subject Classification: 60E05,62E10,India

4. M. Masoom Ali: Department of Mathematical Sciences, Ball State University,Muncie, IN 47306,USA

Abstract:

In this paper, a new form of alpha-beta-skew distribution is proposed under Balakrishnan (2002) mechanism and investigated some of its related distributions. The most important feature of this new distribution is that it is versatile enough to support both unimodal and bimodal as well as multimodal behaviors of the distribution. The moments, distributional properties and some extensions of the proposed distribution have also been studied. Finally, the suitability of the proposed distribution has been tested by conducting data fitting experiment and comparing the values of Akaike Information Criterion (AIC) and Bayesian Information Criterion (BIC) with the values of some other related distributions. Likelihood Ratio testis used for discriminating between normal and the proposed distributions.

Page(s): 367-380

DOI: 10.18187/pjsor.v17i2.3731

Published: Journal: Pakistan Journal of Statistics and Operation Research, Volume: 17, Issue: 2, Year: 2021

Keywords:

Likelihood , AlphaBetaSkewNormal Distribution , Bimodal Distribution , SkewNormal Distribution

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