A New Class of Distributions Generated by the Extended Bimodal-Normal Distribution. (1st November 2018)

• Record Type: Journal Article
• Authors: Cortés, Milton A.; Elal-Olivero, David; Olivares-Pacheco, Juan F.
• Other Names: Su Steve Academic Editor.
• Is Part Of: Journal of probability and statistics. Volume 2018(2018)
• Publication Date: 2018-11-01
• Subjects: Probabilities -- Periodicals; Mathematical statistics -- Periodicals; Mathematical statistics; Probabilities; Periodicals; 519
• DOI: 10.1155/2018/9753439
• Languages: English
• ISSNs: 1687-952X

Abstract

Abstract : In this study, we present a new family of distributions through generalization of the extended bimodal-normal distribution. This family includes several special cases, like the normal, Birnbaum-Saunders, Student'st, and Laplace distribution, that are developed and defined using stochastic representation. The theoretical properties are derived, and easily implemented Monte Carlo simulation schemes are presented. An inferential study is performed for the Laplace distribution. We end with an illustration of two real data sets.