RT - Journal Article T1 - The Zografos–Balakrishnan-log-logistic Distribution JF - khu-mmr YR - 2017 JO - khu-mmr VO - 3 IS - 2 UR - http://mmr.khu.ac.ir/article-1-2644-en.html SP - 61 EP - 70 K1 - Zografos–Balakrishnan-log-logistic distribution K1 - mean deviations K1 - Bonferroni and Lorenz curves K1 - minimum spacing square distance estimator. AB - Tthe Zografos–Balakrishnan-log-logistic (ZBLL) distribution is a new distribution of three parameters that has been introduced by Ramos et el. [1], and They presented some properties of the new distribution such as its probability density function, The cumulative distribution function, The moment generating function, its hazard (failure) rate function, quantiles and moments, Rényi and Shannon entropies, Reliability, Moments of order statistics and estimate the model parameters by maximum likelihood. In this paper, we obtain other several properties of the ZBLL distribution such as probability weighted moments, mean deviations and Bonferroni and Lorenz curves. We discuss estimation by method of minimum spacing square distance estimator. Also, we compare the results of fitting this distribution to some of other models, using to a real data set. We show that the ZBLL distribution fits better to this data set. LA eng UL http://mmr.khu.ac.ir/article-1-2644-en.html M3 10.29252/mmr.2.3.61 ER -