Enhancing the Inverted Topp-Leone Geometric Distribution: Properties and Applications in Computing

Abstract

Statistics has developed a substantial interest in lifetime models, specifically within the domain of statistical inference. Practical domains such as computer science, medicine, engineering, biology science, management, and public health make extensive use of these models. Probability models find application in various domains, including game-winner prediction, team classification, winning margin evaluation, and likelihood of team victory. Recently, the model of mixed distribution has gained widespread recognition in the field of statistical data modelling. This paper aims a new two-parameter generalization of inverted Topp-Leone distribution. The new model, known as the Inverted Topp-Leone Geometric distribution, is created by mixing inverted Topp-Leone and geometric distributions. The quantile function, incomplete moments, ordinary moments, median, mode, mean residual life function, entropy, Shannon entropy, and mean deviation are some of the mathematical features of the new distribution that are obtained. Other characteristics include the mean deviation. The maximum likelihood approach is used to arrive at an estimate of the parameters of the model. Inverted (or inverse) distributions are advantageous for investigating further characteristics of the phenomenon. The behaviour of the parameter estimations is investigated by a Monte Carlo simulation. A practical computing application is provided to illustrate the new model's usefulness.