A Novel Probabilistic Approach Based on Trigonometric Function: Model, Theory with Practical Applications

Proposing new families of probability models for data modeling in applied sectors is a prominent research topic. This paper also proposes method based on the trigonometric function to derive updated form existing models. The proposed family called cotangent trigonometric-G distributions. Based method, version Weibull model, namely, distribution, studied. Certain mathematical properties are derived. estimators distributions obtained via maximum likelihood method. Monte Carlo simulation study conducted assess performances estimators. Finally, two applications from health sector considered illustrate seven evaluating criteria, it observed that significantly improves fitting power