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The new extension of odd log-logistic Chen distribution: mathematical properties and applications. (English) Zbl 1470.62036

Summary: A new lifetime model called the odd log-logistic Chen distribution is being introduced in this paper. We provide a comprehensive account of the mathematical properties of the proposed family including the hazard rate function, moments, conditional moments, coefficient of skewness, coefficient of kurtosis, entropy and order statistics. The parameters of this distribution are estimated by several methods of estimation. A simulation study is performed in order to investigate the properties of the proposed estimators. Finally, in order to show the NOLL-Ch distribution flexibility, two applications using real data sets are presented.

MSC:

62E15 Exact distribution theory in statistics
62J12 Generalized linear models (logistic models)
62N05 Reliability and life testing
60E05 Probability distributions: general theory
62P10 Applications of statistics to biology and medical sciences; meta analysis
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