Mc-Donald modified Burr-III distribution: properties and applications

摘要

We propose herein a six-parameter McDonald modified Burr-III distribution. This distributioncontains several special cases, including the modified Burr-III, Burr-III, Beta Burr-III, and Kum BurrIIIdistributions. Accordingly, we obtained its hazard function, survival function, moments, Renyi’sentropy, β-entropy, and mean deviation. We also used the method of maximum likelihood toestimate the parameters of our proposed distribution. Simulation studies were also performedfor different values of sample sizes. The proposed model is applied on real-life datasets and showsthat our proposed distribution yields better fits than other existing models.