Abstract
A new class of statistical distributions called the Type II half-Logistic odd Frechet-G class is proposed. The new class is a continuation of the unusual Frechet class. This class is analytically feasible and could be used to evaluate real-world data effectively. The new suggested class of distributions has many new symmetrical and asymmetrical sub-models. We propose new four sub-models from the new class of distributions which are called Type II half-Logistic odd Frechet exponential distribution, Type II half-Logistic odd Frechet Rayleigh distribution, Type II half-Logistic odd Frechet Weibull distribution, and Type II half-Logistic odd Frechet Lindley distribution. Some statistical features of Type II half-Logistic odd Frechet-G class such as ordinary moments (ORMs), incomplete moments (INMs), moment generating function (MGEF), residual life (REL), and reversed residual life (RREL) functions, and Renyi entropy (ReE) are derived. Six methods of estimation such as maximum likelihood, least-square, a maximum product of spacing, weighted least square, Cramer-von Mises, and Anderson-Darling are produced to estimate the parameters. To test the six estimation methods' performance, a simulation study is conducted. Four real-world data sets are utilized to highlight the importance and applicability of the proposed method.