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

Abstract

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

Keywords

• mc-donald modified burr-iii
• burr-iii distribution
• parameters
• deviation
• real life data sets
• renyi’s entropy
• beta entropies