Maximum likelihood and Bayes estimators of the parameters, survival function (SF) and hazard rate function (HRF) are obtained for the three-parameter exponentiated Burr type XII distribution when sample is available from type II censored scheme. Bayes estimators have been developed using the standard Bayes and MCMC methods under square error and LINEX loss functions, using informative type of p...

This article addresses the various mathematical and statistical properties of Burr type XII distribution (such as quantiles, moments, moment generating function, hazard rate, conditional mean residual lifetime, past deviation about median, stochasic ordering, stress-strength parameter, entropies, Bonferroni Lorenz curves order statistics) are derived. We discuss some exact expressions recurrenc...

Depending on Yousof et al. (2017a), a new one parameter G family of distributions called the reciprocal Burr X-G is defined and studied. Special member based well-known type XII model X-Burr distribution studied analyzed. Relevant properties including ordinary moments, moment residual life, reversed life incomplete moments are derived some them numerically Four different applications to real-li...

In this study, the maximum likelihood estimation (MLE) and Bayes estimation are exploited to make interval estimation based on adaptive progressive TypeII censoring for the Burr Type-XII distribution. Explicit form for the parameters of Bayes estimator doesn’t exist, so, Markov Chain Monte Carlo (MCMC) method is used as approximation to find posterior mean under squared error loss function. Rea...

For the first time, a five-parameter distribution, the so-called beta Burr XII distribution, is defined and investigated. The new distribution contains as special sub-models some well-known distributions discussed in the literature, such as the logistic, Weibull and Burr XII distributions, among several others. We derive its moment generating function. We obtain, as a special case, the moment g...

Pearson differential equation‎. ‎This distribution is also obtained from a compounding mixture of‎ ‎distributions‎. ‎Moments‎, ‎inequality measures‎, ‎uncertainty measures and reliability measures are theoretically established‎. ‎Characterizations of MLBXII distribution are also studied via different techniques‎. ‎Parameters of MLBXII dist...