Marshall-Olkin extended Burr III distribution

Abstract

In this paper, a new extended Burr III distribution using Marshall and Olkin method is introduced. Some characteristics and properties of the new distribution are studied. Maximum likelihood and Bayesian methods are used to estimate model parameters. Also, the asymptotic distributions of the maximum likelihood is used to obtain confidence intervals for the parameters. Monte Carlo simulations are carried out to investigate the performance of the new distribution. Finally, a real data set is analyzed to illustrate the results.

The Equilibrium Renewal Burr XII Distribution: Properties and Applications

“…Some of these methods which includes the transformation method [1], method of adding additional parameter to existing distribution [2], beta generated method [3], tranformed-transformer method [4] and composite methods have either been used to generalise, extend or modify the Burr XII distribution in order to increase its flexibility for modelling data sets in different fields [5]. For instance, the beta Burr XII distribution introduced by [6], the McDonald Burr XII distribution introduced by [7], the Poisson Burr XII distribution established by [8], the Marshall-Olkin extended Burr XII distribution developed by [9], the Weibull Burr XII distribution introduced by [10] and the transmuted Burr XII distribution developed by [10] are some univariate extensions of the Burr XII distribution.…”

A Four-Parameter Extension of Burr III Distribution with Applications

“…In their paper, they showed categorically the relationships between the modified BIII distribution and each of the generalized inverse Weibull and loglogistic distributions. The transmuted and generalized BIII distributions were developed by [4] and [5], respectively. In another generalization of the BIII distribution, [6] introduced the odd BIII distributions.…”