Gompertz Topp–Leone invers Weibull Distributions: Some Properties and Application

Abstract

The Gompertz Topp Leone Inverse Weibull distribution GoTLIW distribution, which has four parameters, is a novel distribution that we introduce in this article. Inverse Weibull (IW) distributions with various parameter values can be combined to form the new distribution. The moments, moment generating function, quantile function, the R'enyi entropy generating function, reliability function, and hazard function are only a few of the crucial structural aspects of the new model that are derived. and apply the method of greatest likelihood to calculate the parameters of the new distribution (MLEs). We used one genuine data point on the total milk output in the first birth of 107 SINDI race cows to demonstrate how adaptable the new distribution is. The Carna 'ba farm, which is owned by Agropecuaria Manoel Dantas Ltd., is the owner of these cows (AMDA), statistics that show how the (GoTLIW) distribution works.

Keywords

• Gompertz Topp Leone -G family
• Moment
• Maximum likelihood estimation (MLEs)
• Invers Weibull distribution