A New Class of Distributions Generated by the Extended Bimodal-Normal Distribution

Autor:	Milton A. Cortés, David Elal-Olivero, Juan F. Olivares-Pacheco
Jazyk:	angličtina
Rok vydání:	2018
Předmět:	Probabilities. Mathematical statistics QA273-280
Zdroj:	Journal of Probability and Statistics, Vol 2018 (2018)
Druh dokumentu:	article
ISSN:	1687-952X 1687-9538
DOI:	10.1155/2018/9753439
Popis:	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’s t, 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.
Databáze:	Directory of Open Access Journals
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