Affordable Access

Access to the full text

DS Normal Distribution: Properties and Applications

Authors
  • Sulewski, P.1
  • 1 Pomeranian University, Institute of Exact and Technical Sciences, Słupsk, 76-200, Poland , Słupsk (Poland)
Type
Published Article
Journal
Lobachevskii Journal of Mathematics
Publisher
Pleiades Publishing
Publication Date
Dec 13, 2021
Volume
42
Issue
12
Pages
2980–2999
Identifiers
DOI: 10.1134/S1995080221120337
Source
Springer Nature
Keywords
Disciplines
  • Article
License
Yellow

Abstract

AbstractThe main aim of this paper is to introduce a new flexible distribution which generalizes the normal distribution. Some properties of the introduced distribution such as PDF, CDF, hazard function, quantiles, moments and generator are derived. Overdispersion, underdispersion and equidispersion are analyzed. The unknown parameters of the distribution are estimated by the maximum likelihood method. Illustrative examples of applicability and flexibility of the distribution in question are given. R software codes are presented in Appendix A.

Report this publication

Statistics

Seen <100 times