The Topp-Leone Burr-XII Distribution: Properties and Applications

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.q