The Exponentiated Cotangent Generalized Distributions: Characteristics and Applications Patients of Chemotherapy Treatments Data

Abstract

Over the last several decades, many algebraic generalized families and classes of statistical distributions have been developed. This research aims to construct a new cotangent exponentiated generalized and generator of distributions with support on the real line. After that, two novel families of distributions incorporating the cotangent function are proposed: one called the cotangent exponentiated generalized (CE-G) family, and the other called the logistic cotangent exponentiated generalized (LCE-G) family. A comprehensive analysis of the mathematical and structural properties of the recently suggested G-family and a Burr-based novel model (LCEB) is presented here. The maximum likelihood method estimates model parameters and evaluates model performance in Monte Carlo simulation studies. These tasks are carried out using the maximum likelihood technique. The statistical analysis on the survival and waiting times data sets are carried out, and the outcomes confirm the competence, superiority, and utility of the suggested generator, G-family, and novel distribution compared to similar and competing Burr-based models already well-known.

Keywords

• Exponentiated generalized family
• cotangent trigonometric function
• reliability and probability functions
• maximum likelihood methodology