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

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

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 meas...

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Bibliographic Details
Main Authors: C. Satheesh Kumar, M.R. Anusree
Format: Article
Language:English
Published: Atlantis Press 2018-03-01
Series:Journal of Statistical Theory and Applications (JSTA)
Subjects:
Method of maximum likelihood
Plurimodality
Probability density function
Skewness
Skew normal distribution
Online Access:https://www.atlantis-press.com/article/25894616/view
Description
Summary: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.
ISSN:1538-7887

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