Forthcoming

New Members of The Johnson Family of Probability Distributions : Properties and Application

Accepted: February 2022

Authors

Keywords:

normal distribution, flexibility of distribution, departure from normality

Abstract

In this paper we introduce new non-mixed bimodal distributions belonging to the Johnson family of distributions (JFD) named SC and SD, where SC is a special case of SD. The SD is the only distribution among the JFD that can be both unimodal and bimodal distribution. Properties of the SD are methodically studied. The SC and SD are compared with the seven (except the normal distribution) members of the JFD for flexibility and applicability. In order to test for flexibility, a special measure called skewness-kurtosis-square is defined. The best dispersion of points with coordinates (skewness, kurtozis) occurs for the SD and for the well-known SU and SB. Two real datasets were used to test the applicability. EN turned out to be better than its competitors in terms of information criteria and results of three goodness-of-fit tests.

Additional Files

Published

2022-02-20

How to Cite

Sulewski , P. (2022). New Members of The Johnson Family of Probability Distributions : Properties and Application: Accepted: February 2022. REVSTAT-Statistical Journal. Retrieved from https://revstat.ine.pt/index.php/REVSTAT/article/view/429

Issue

Section

Forthcoming Paper