Title : ( A new family of distributions: the Kumaraswamy odd log-logistic, properties and applications )
Authors: morad alizadeh , Mahdi Doostparast , Mahdi Emadi , Gauss M.Cordeiro , Edwin M.M.Ortega , Rodrigo R.Pescim ,
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Abstract
In this paper, a new family of distributions, called the Kumaraswamy odd log-logistic, is proposed and studied. Some mathematical properties are presented and special models are discussed. The asymptotes and shapes are investigated. The family density function is given by a linear combination of xponentiated densities following the same baseline model. We derive a power series for the quantile function, explicit expressions for the moments, quantile and generating functions and order statistics. We provide a bivariate extension of the new family. Its performance is illustrated by means of two real data sets.
Keywords
, Generated function; Log, logistic distribution; Maximum likelihood; Moment; Order statistic; Quantile function
@article{paperid:1044847,
author = {Alizadeh, Morad and Doostparast, Mahdi and Emadi, Mahdi and Gauss M.Cordeiro and Edwin M.M.Ortega and Rodrigo R.Pescim},
title = {A new family of distributions: the Kumaraswamy odd log-logistic, properties and applications},
journal = {Hacettepe Journal of Mathematics and Statistics},
year = {2015},
volume = {45},
number = {41},
month = {November},
issn = {1303-5010},
pages = {1--1},
numpages = {0},
keywords = {Generated function; Log-logistic distribution; Maximum likelihood; Moment; Order statistic; Quantile function},
}
%0 Journal Article
%T A new family of distributions: the Kumaraswamy odd log-logistic, properties and applications
%A Alizadeh, Morad
%A Doostparast, Mahdi
%A Emadi, Mahdi
%A Gauss M.Cordeiro
%A Edwin M.M.Ortega
%A Rodrigo R.Pescim
%J Hacettepe Journal of Mathematics and Statistics
%@ 1303-5010
%D 2015
