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Mathematical Researches 2016, 2(3): 61-70 Back to browse issues page
The Zografos–Balakrishnan-log-logistic Distribution
Abstract:   (1527 Views)

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.

Keywords: Zografos–Balakrishnan-log-logistic distribution, mean deviations, Bonferroni and Lorenz curves, minimum spacing square distance estimator.
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Type of Study: S | Subject: alg
Received: 2017/07/1 | Accepted: 2017/07/1 | Published: 2017/07/1 | ePublished: 2017/07/1
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The Zografos–Balakrishnan-log-logistic Distribution. Mathematical Researches. 2016; 2 (3) :61-70
URL: http://mmr.khu.ac.ir/article-1-2644-en.html

Volume 2, Issue 3 (11-2016) Back to browse issues page
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