A new family of distributions: the Kumaraswamy odd log-logistic, properties and applications

Morad Alizadeh; Mahdi Emadi; Mahdi Doostparast; Gauss M. Cordeiro; Edwin M.m. Ortega; Rodrigo R. Pescim

Research Article

Year 2015, Volume: 44 Issue: 6, 1491 - 1512, 01.12.2015

Morad Alizadeh Mahdi Emadi Mahdi Doostparast Gauss M. Cordeiro Edwin M.m. Ortega Rodrigo R. Pescim

Abstract

References

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A new family of distributions: the Kumaraswamy odd log-logistic, properties and applications

Year 2015, Volume: 44 Issue: 6, 1491 - 1512, 01.12.2015

Morad Alizadeh Mahdi Emadi Mahdi Doostparast Gauss M. Cordeiro Edwin M.m. Ortega Rodrigo R. Pescim

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 exponentiated 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 statistics, Quantile function

References

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There are 1 citations in total.

Details

Primary Language	English
Subjects	Statistics
Journal Section	Statistics
Authors	Morad Alizadeh Mahdi Emadi This is me Mahdi Doostparast This is me Gauss M. Cordeiro Edwin M.m. Ortega Rodrigo R. Pescim This is me
Publication Date	December 1, 2015
Published in Issue	Year 2015 Volume: 44 Issue: 6

Cite

APA	Alizadeh, M., Emadi, M., Doostparast, M., Cordeiro, G. M., et al. (2015). A new family of distributions: the Kumaraswamy odd log-logistic, properties and applications. Hacettepe Journal of Mathematics and Statistics, 44(6), 1491-1512.
AMA	Alizadeh M, Emadi M, Doostparast M, Cordeiro GM, Ortega EM, Pescim RR. A new family of distributions: the Kumaraswamy odd log-logistic, properties and applications. Hacettepe Journal of Mathematics and Statistics. December 2015;44(6):1491-1512.
Chicago	Alizadeh, Morad, Mahdi Emadi, Mahdi Doostparast, Gauss M. Cordeiro, Edwin M.m. Ortega, and Rodrigo R. Pescim. “A New Family of Distributions: The Kumaraswamy Odd Log-Logistic, Properties and Applications”. Hacettepe Journal of Mathematics and Statistics 44, no. 6 (December 2015): 1491-1512.
EndNote	Alizadeh M, Emadi M, Doostparast M, Cordeiro GM, Ortega EM, Pescim RR (December 1, 2015) A new family of distributions: the Kumaraswamy odd log-logistic, properties and applications. Hacettepe Journal of Mathematics and Statistics 44 6 1491–1512.
IEEE	M. Alizadeh, M. Emadi, M. Doostparast, G. M. Cordeiro, E. M. Ortega, and R. R. Pescim, “A new family of distributions: the Kumaraswamy odd log-logistic, properties and applications”, Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 6, pp. 1491–1512, 2015.
ISNAD	Alizadeh, Morad et al. “A New Family of Distributions: The Kumaraswamy Odd Log-Logistic, Properties and Applications”. Hacettepe Journal of Mathematics and Statistics 44/6 (December 2015), 1491-1512.
JAMA	Alizadeh M, Emadi M, Doostparast M, Cordeiro GM, Ortega EM, Pescim RR. A new family of distributions: the Kumaraswamy odd log-logistic, properties and applications. Hacettepe Journal of Mathematics and Statistics. 2015;44:1491–1512.
MLA	Alizadeh, Morad et al. “A New Family of Distributions: The Kumaraswamy Odd Log-Logistic, Properties and Applications”. Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 6, 2015, pp. 1491-12.
Vancouver	Alizadeh M, Emadi M, Doostparast M, Cordeiro GM, Ortega EM, Pescim RR. A new family of distributions: the Kumaraswamy odd log-logistic, properties and applications. Hacettepe Journal of Mathematics and Statistics. 2015;44(6):1491-512.