New Odd Log-Logistic Family of Distributions: Properties, Regression Models and Applications

Emrah Altun; Morad Alizadeh; Gamze Ozel; Haitham M. Yousof

doi:10.1201/9781003232193-5

New Odd Log-Logistic Family of Distributions: Properties, Regression Models and Applications

Emrah Altun
, Morad Alizadeh
, Gamze Ozel
, Haitham M. Yousof

Division of Statistical Information Systems

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

1 Citation (Scopus)

Abstract

A new generalization of the log-logistic family is studied with one extra shape parameter. The location-scale regression model of a new family defined for the Weibull distribution is introduced. The unknown parameters of the proposed models are estimated by the maximum likelihood estimation method and its performance is discussed using avia comprehensive simulation study. Four data sets are analysed by the proposed models and compared with the recently introduced models.

Original language	English
Title of host publication	G Families of Probability Distributions
Subtitle of host publication	Theory and Practices
Publisher	CRC Press
Pages	80-93
Number of pages	14
ISBN (Electronic)	9781000860351
ISBN (Print)	9781032140681
DOIs	https://doi.org/10.1201/9781003232193-5
Publication status	Published - 1 Jan 2023

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10.1201/9781003232193-5

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abstract = "A new generalization of the log-logistic family is studied with one extra shape parameter. The location-scale regression model of a new family defined for the Weibull distribution is introduced. The unknown parameters of the proposed models are estimated by the maximum likelihood estimation method and its performance is discussed using avia comprehensive simulation study. Four data sets are analysed by the proposed models and compared with the recently introduced models.",

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New Odd Log-Logistic Family of Distributions: Properties, Regression Models and Applications

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