The Topp-Leone Burr-XII Distribution: Properties and Applications
Journal Title: Journal of Advances in Mathematics and Computer Science - Year 2017, Vol 21, Issue 5
Abstract
In this paper we introduce a new generalization of the Burr-XII distribution using the genesis of the Topp-Leone distribution and is named as Topp-Leone Burr-XII (TLBXII) distribution. The statistical properties of this distribution including the mean, variance, coefficient of variation, quantile function, median, ordinary and incomplete moments, skewness, kurtosis, moment and probability generating functions, reliability analysis, Lorenz, Bonferroni and Zenga curves, Rényi of entropy and order statistics are studied. We consider the method of maximum likelihood for estimating the model parameters and the observed information matrix is derived. Three real data sets are presented to demonstrate the effectiveness of the new model.
Authors and Affiliations
Hesham M. Reyad, Soha A. Othman
Keywords
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- EP ID EP321886
- DOI 10.9734/BJMCS/2017/33053
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