A new family of distributions: the Kumaraswamy odd log-logistic, properties and applications
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.
Alizadeh, M., Emadi, M., Doostparast, M., Cordeiro, G. M., Ortega, E. M., & Pescim, R. R. (2015). A new family of distributions: the Kumaraswamy odd log-logistic, properties and applications. Hacettepe Journal of Mathematics and Statistics, 44(6), 1491-1512. https://izlik.org/JA92SS23KD
AMA
1.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):1491-1512. https://izlik.org/JA92SS23KD
Chicago
Alizadeh, Morad, Mahdi Emadi, Mahdi Doostparast, Gauss M. Cordeiro, Edwin M.m. Ortega, and Rodrigo R. Pescim. 2015. “A New Family of Distributions: The Kumaraswamy Odd Log-Logistic, Properties and Applications”. Hacettepe Journal of Mathematics and Statistics 44 (6): 1491-1512. https://izlik.org/JA92SS23KD.
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
[1]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, Dec. 2015, [Online]. Available: https://izlik.org/JA92SS23KD
ISNAD
Alizadeh, Morad - Emadi, Mahdi - Doostparast, Mahdi - Cordeiro, Gauss M. - Ortega, Edwin M.m. - Pescim, Rodrigo R. “A New Family of Distributions: The Kumaraswamy Odd Log-Logistic, Properties and Applications”. Hacettepe Journal of Mathematics and Statistics 44/6 (December 1, 2015): 1491-1512. https://izlik.org/JA92SS23KD.
JAMA
1.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, Dec. 2015, pp. 1491-12, https://izlik.org/JA92SS23KD.
Vancouver
1.Morad Alizadeh, Mahdi Emadi, Mahdi Doostparast, Gauss M. Cordeiro, Edwin M.m. Ortega, Rodrigo R. Pescim. A new family of distributions: the Kumaraswamy odd log-logistic, properties and applications. Hacettepe Journal of Mathematics and Statistics [Internet]. 2015 Dec. 1;44(6):1491-512. Available from: https://izlik.org/JA92SS23KD
