Statistical Probability Distribution for the Covid-19 Mortality Rate.

Abstract

In the study, a discrete distribution is proposed by considering the Poisson distribution as a base distribution and the Lindley distribution as a parametric distribution which is named as Poisson extended Lindley distribution (PELD). The new distribution is known as the Poisson extended Lindley distribution. Its density function, as well as its survival and hazard rate curves are shown graphically. The study presented the Moment generating function and its related measures such as moments about the origin and mean, coefficient of variation, skewness, and kurtosis. To calculate the distribution parameters, distinct estimating strategies are employed. In order to compare and draw conclusions about the performance of the different estimators, a thorough numerical analysis was done. Here, a real data set on the COVID-19 mortality rate was examined to show how adaptable and practical the suggested distribution is.