A new generalized family of distributions: Properties and applications

We come up with a new class called log-logistic tan generalized family which provides sub-models with left skewed, symmetrical, right skewed, unimodal, bimodal and reversed-J densities, and increasing, decreasing, modified bathtub, bathtub, unimodal, reversed-J shaped, and J-shaped hazard rates. Som...

Full description

Saved in:
Bibliographic Details
Published inAIMS mathematics Vol. 6; no. 1; pp. 456 - 476
Main Authors Zaidi, Sajid Mehboob, Sobhi, Mashail M. AL, El-Morshedy, M., Afify, Ahmed Z.
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2021
Subjects
bathtub failure rates
maximum likelihood estimation
order statistics
simulation
weibull distribution
Online AccessGet full text
ISSN2473-6988
2473-6988
DOI10.3934/math.2021028

Cover

More Information
Summary:We come up with a new class called log-logistic tan generalized family which provides sub-models with left skewed, symmetrical, right skewed, unimodal, bimodal and reversed-J densities, and increasing, decreasing, modified bathtub, bathtub, unimodal, reversed-J shaped, and J-shaped hazard rates. Some of its sub-models are provided along with some general structural properties. The parameter estimation has been conducted via maximum likelihood. Moreover, the estimators behavior are assessed using various simulation results. The capability of the log-logistic tan-Weibull model is proved using two real-life data sets. It provides higher quality fit than competing Weibull extensions, among others.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2021028