A New Generalization of the Half-Logistic Model using the Transformed-Transformer Approach with Application to Wind Speed Sample from Nigeria

Abstract

In this paper, a new generalization of the half-logistic distribution was introduced and called the ‘Odd Weibull Exponentiated Half-Logistic Distribution (OWEHLD)’. The OWEHLD was realized by using the Weibull distribution to transform the exponentiated half-logistic distribution using the quantile function of the log-logistic distribution or the odd ratio as link. This approach for generalizing the half-logistic distribution is the so-called ‘transformed-transformer approach’. Several mathematical properties of the OWEHLD were derived and studied and the maximum likelihood estimation method was employed in estimating its parameters. Real life data sets including a wind speed sample from Nigeria were further used to test the applicability of the new distribution.