We introduce in this paper a four-parameter lifetime model, called the inverse burr negative binomial distribution.We derive some statistical properties of the proposed model that includes moments, quantile functions, median, reliability and entropy. The method of maximum likelihood is used for estimating the model parameters and the observed information matrix is obtained. Simulation study is performed to investigate the performance of the estimation of the model parameters. Two real data sets are used to demonstrate the flexibility of the new proposed model in comparison with other popular lifetime models.
Digital Object Identifier (DOI)
Yusuf, Abdullahi; Bashir Mikail, Badamasi; Isah Aliyu, Aliyu; and L. Sulaiman, Abdurrahaman
"The Inverse Burr Negative Binomial Distribution with Application to Real Data,"
Journal of Statistics Applications & Probability: Vol. 5
, Article 5.
Available at: https://dc.naturalspublishing.com/jsap/vol5/iss1/5