The new odd Burr III-G power series class of distributions: properties and applications to censored and uncensored data

Abstract

The odd Burr III-G power series (OBIII-GPS) class of distributions (CoDs) and its subclass, the odd Burr III-Weibull power series (OBIII-WPS), are the new distributions presented in this article. The statistical properties of the newly developed CoDs were derived. These encompass, the hazard rate function, quantile function, moments, order statistics, and Rényi entropy. Five different estimation methods are presented for estimating the unknown model parameters. The evaluation criteria used to assess the performance of these estimation techniques in a Monte Carlo simulation framework were the root mean square error and average bias. Two data examples, including a censored dataset were used to demonstrate the viability of the suggested paradigm.