A novel extended inverse-exponential distribution and its application to COVID-19 data

The aim of this article is to define a new flexible statistical model to examine the COVID-19 data sets that cannot be modeled by the inverse exponential distribution. A novel extended distribution with one scale and three shape parameters is proposed using the generalized alpha power family of distributions to derive the generalized alpha power exponentiated inverse exponential distribution. Some important statistical properties of the new distribution such as the survival function, hazard function, quantile function, rth$$ r\mathrm{th} $$ moment, Renyi entropy, and order statistics are all derived. The method of maximum likelihood estimation is used to estimate the parameters of the new distribution. The performance of the estimators are assessed through Monte Carlo simulation, which shows that the maximum likelihood method works well in estimating the parameters. The GAPEIEx distribution was applied to COVID-19 data sets in order to access the flexibility and adaptability of the distribution, and it happens to perform better than its submodels and other well-known distributions. In this article the statistical properties of the said distribution are derived. The distribution is applied to two COVID-19 data sets in other to access the adaptability and flexibility of the distribution compared to its submodels another well-known distributions.image