DS Normal Distribution: Properties and Applications

被引：2
|
作者：
Sulewski, P. [1 ]
机构：
[1] Pomeranian Univ, Inst Exact & Tech Sci, PL-76200 Slupsk, Poland
来源：
LOBACHEVSKII JOURNAL OF MATHEMATICS | 2021年 / 42卷 / 12期
关键词：
normal distribution; flexibility of distribution; departure from normality; random number generator; maximum likelihood estimator; Monte Carlo method; SKEW; MIXTURE; FINITE;
D O I：
10.1134/S1995080221120337
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The 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.
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页码：2980 / 2999
页数：20
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