On some general class of modified skew normal distribution and its properties

C. Satheesh Kumar; M R Anusree

doi:10.3329/jsr.v59i1.83682

On some general class of modified skew normal distribution and its properties

Authors

C. Satheesh Kumar Department of Statistics, University of Kerala, Trivandrum 695 581, India
M R Anusree Department of Statistics, St. Thomas College (Autonomous), Thrissur- 680 001, India

DOI:

https://doi.org/10.3329/jsr.v59i1.83682

Keywords:

Entropy, Skew normal distribution, Moments, Special functions

Abstract

In this paper, we propose a new class of modified skew-normal distribution as a special case of the modified skew-normal distribution proposed by Kumar and Anusree (2014) is considered. We explore some of its key properties by deriving explicit expressions for its distribution function, characteristic function, and other relevant aspects using special functions and simplified moment expressions. Also, its distributional and structural properties are investigated. Additionally, we address the estimation of parameters for this general class of distributions.

Journal of Statistical Research 2025, Vol. 59, No. 1, pp. 31-45

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Published

2025-08-19

How to Cite

Kumar, C. S., & Anusree, M. R. (2025). On some general class of modified skew normal distribution and its properties. Journal of Statistical Research , 59(1), 31–45. https://doi.org/10.3329/jsr.v59i1.83682