The Exponentiated Exponential Burr XII distribution: Theory and application to lifetime and simulated data

• Published in: PloS one Vol. 16; no. 3; p. e0248873
• Main Authors: Badr, Majdah, Ijaz, Muhammad
• Format: Journal Article
• Language: English
• Published: United States Public Library of Science 26-03-2021; Public Library of Science (PLoS)
• Subjects: Data analysis; Datasets; Distribution (Probability theory); Drafting software; Failure rates; Probability density function; Probability density functions; Probability distribution; Random variables; Reliability; Skewness; Statistical analysis; Statistics; Pakistan
• ISSN: 1932-6203; 1932-6203
• DOI: 10.1371/journal.pone.0248873

The paper addresses a new four-parameter probability distribution called the Exponentiated Exponential Burr XII or abbreviated as EE-BXII. We derive various statistical properties in addition to the parameter estimation, moments, and asymptotic confidence bounds. We estimate the precision of the maximum likelihood estimators via a simulation study. Furthermore, the utility of the proposed distribution is evaluated by using two lifetime data sets and the results are compared with other existing probability distributions. The results clarify that the proposed distribution provides a better fit to these data sets as compared to the existing probability distributions.