TY  - JOUR
T1  - The Zografos-Balakrishnan odd log-logistic family of distributions: Properties and Applications
AU  - Alizadeh, Morad
AU  - Cordeiro, Gauss M.
AU  - Ortega, Edwin M.m.
AU  - Serrano, Luis H. Valdivieso
PY  - 2016
DA  - December
JF  - Hacettepe Journal of Mathematics and Statistics
PB  - Hacettepe University
WT  - DergiPark
SN  - 2651-477X
SP  - 1781
EP  - 1803
VL  - 45
IS  - 6
LA  - en
AB  - We study some mathematical properties of a new generator of continuous distributions with two additional shape parameters called theZografos-Balakrishnan odd log-logistic family. We present some specialmodels and investigate the asymptotes and shapes. The density function of the new family can be expressed as a mixture of exponentiateddensities based on the same baseline distribution. We derive a powerseries for its quantile function. Explicit expressions for the ordinary andincomplete moments, quantile and generating functions, Shannon andRényi entropies and order statistics, which hold for any baseline model,are determined. We estimate the model parameters by maximum likelihood. Two real data sets are used to illustrate the potentiality of theproposed family
KW  - Estimation
KW  - Gamma distribution
KW  - Generated family
KW  - Maximum likelihood
KW  - Mean deviation
KW  - Moment
KW  - Quantile function
CR  - .
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UR  - https://dergipark.org.tr/en/pub/hujms/issue//524407
L1  - https://dergipark.org.tr/en/download/article-file/644801
ER  -