The Extended Exponential Weibull Distribution: Properties, Inference, and Applications to Real-Life Data

A novel version of the exponential Weibull distribution known as the extended exponential Weibull (ExEW) distribution is developed and examined using the Lehmann alternative II (LAII) generating technique. The new distributions basic mathematical properties are derived. The maximum likelihood estimation (MLE) technique is used to estimate the unknown parameters of the proposed distribution. The estimators' performance is further assessed using the Monte Carlo simulation technique. Eventually, two real-world data sets are utilized to show the applicability of the new distribution.

Automated summary

A novel version of the exponential Weibull distribution, known as the extended exponential Weibull (ExEW) distribution, is developed and examined using the Lehmann alternative II (LAII) generating technique. The basic mathematical properties of the new distribution are derived, and the maximum likelihood estimation (MLE) technique is used to estimate the unknown parameters. The performance of the estimators is further assessed using Monte Carlo simulation, and the applicability of the new distribution is demonstrated using two real-world data sets.