The odd log-logistic Topp–Leone G family of distributions: heteroscedastic regression models and applications

Morad Alizadeh (), Fazlollah Lak, Mahdi Rasekhi (), Thiago G. Ramires (), Haitham M. Yousof () and Emrah Altun ()
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Morad Alizadeh: Persian Gulf university
Mahdi Rasekhi: Malayer University
Thiago G. Ramires: Federal University of Tecnology Paraná
Haitham M. Yousof: Benha University
Emrah Altun: Hacettepe University

Computational Statistics, 2018, vol. 33, issue 3, No 7, 1217-1244

Abstract: Abstract We introduce a new class of distributions and provide a comprehensive treatment of its mathematical properties. The maximum likelihood method is discussed to estimate the parameters of the new model by means of Monte-Carlo simulation study. The heteroscedastic regression models with long-term survival are introduced to model data sets with the non homogeneity of the error variances in the presence of cured individuals. The potentiality of the proposed models is illustrated by means of four real data sets.

Keywords: Cure rate regression; Simulation study; Censored data; Maximum likelihood; Renyi entropy (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s00180-017-0780-9

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