Extended Half-Power Exponential Distribution with Applications to COVID-19 Data

Abstract

In this paper, the Extended Half-Power Exponential (EHPE) distribution is built on the basis of the Power Exponential model. The properties of the EHPE model are discussed: the cumulative distribution function, the hazard function, moments, and the skewness and kurtosis coefficients. Estimation is carried out by applying maximum likelihood (ML) methods. A Monte Carlo simulation study is carried out to assess the performance of ML estimates. To illustrate the usefulness and applicability of EHPE distribution, two real applications to COVID-19 data in Chile are discussed.

Keywords

• symmetric distributions
• nonnegative distributions
• kurtosis
• maximum likelihood
• COVID-19 data