Half-Logistic Odd Power Generalized Weibull-inverse Lindley: Properties, Characterizations, Applications and Covid-19 Data

Abstract

Using the Half-Logistic Odd Power Generalised Weibull-G family distributions, this article constructed a novel distribution termed the Half-Logistic Odd Power Generalised Weibull-inverse Lindley. Some of its statistical features are derived by us. Selecting the most efficient estimators is among the basic issues in parameter estimation theory. We are employing maximum likelihood estimation, moment estimation, least squares estimation, weighted least estimation, L-moment estimation, Maximum Product Spacing estimation, and techniques of minimum distances for the parameter estimation for the distribution. We will examine simulation research that compares the various estimators' levels of efficiency using the Kolmogorov-Smirnov test. Lastly, an analysis is done on an actual COVID-19 data set to demonstrate the adaptability of our suggested model in comparison to the fit obtained by several other competing distributions.