Some Properties and Applications of Burr III-Weibull Distribution

TL;DR

This paper introduces the Burr III-Weibull distribution, deriving its properties, estimating parameters via maximum likelihood, and validating the approach through simulation and real data analysis.

Contribution

It presents a new distribution called Burr III-Weibull, including its properties, estimation methods, and practical applications, which is novel in the field.

Findings

Derived moments, entropy, and order statistics of the distribution.

Validated maximum likelihood estimation through simulation.

Applied the distribution to real data successfully.

Abstract

In this paper, we introduce a new distribution called Burr III-Weibull(BW) distribution using the concept of competing risk. We derive moments, conditional moments, mean deviation and quantiles of the proposed distribution. Also the Renyi's entropy and order statistics of the distribution are obtained. Estimation of parameters of the distribution is performed via maximum likelihood method. A simulation study is performed to validate the maximum likelihood estimator (MLE). A real practical data set is analyzed for illustration.