On Some Aspects of a New Class of Two-Piece Asymmetric Normal Distribution

被引：0
|
作者：
C. Satheesh Kumar
M. R. Anusree
机构：
[1] University of Kerala,Department of Statistics
[2] Rajagiri Business School,Department of Operations
来源：
Journal of Statistical Theory and Applications | 2018年 / 17卷 / 1期
关键词：
Method of maximum likelihood; Plurimodality; Probability density function; Skewness; Skew normal distribution;
D O I：
10.2991/jsta.2018.17.1.8
中图分类号：
学科分类号：
摘要：
Through this chapter, we introduce a new class of two-piece asymmetric normal distribution suitable for asymmetric and plurimodal situations. We study some important aspects of this distribution by deriving explicit expressions for its distribution function, characteristic function, reliability measures etc. A location-scale extension of this class of distribution is considered and carried out the maximum likelihood estimation of its parameters. Further we have fitted the distribution to a real life data set for illustrating the usefulness of the model.
引用
收藏
页码：101 / 121
页数：20
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