A New Class of Exponentiated Beta-Skew-Laplace Distribution

Autor: ROGER TOVAR-FALÓN, GUILLERMO MARTÍNEZ-FLÓREZ
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Anais da Academia Brasileira de Ciências, Vol 94, Iss 4 (2022)
Druh dokumentu: article
ISSN: 1678-2690
0001-3765
DOI: 10.1590/0001-3765202220191597
Popis: Abstract This paper introduce two new families of distributions that allow fitting unimodal, bimodal or trimodal data sets. Statistical properties such as distribution function, moments, moment generating function and stochastic representation of these new families are studied in details. The problem of estimating parameters is addressed by considering the maximum likelihood method and Fisher information matrices are derived. A small Monte Carlo simulation study is conducted to examine the performance of the obtained estimators. The methodology developed is illustrated with three real data applications.
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