Type II Topp Leone Generalized Inverted Exponential Distribution with Real Data Applications

Abstract

The generalization of standard and generalized distributions has become one of the concerns that the statistical theory depends on to obtain more exible distributions. In this article, a new distribution that is considered a generalization of the generalized inverted exponential distribution called the Type II Topp Leone Generalized Inverted Exponential (TIITLGIE) distribution is introduced. Some statistical properties of this distribution were obtained. The quantile function, median, moments, moment generating function, Reliability function, hazard function, mode, harmonic mean, mean and median deviation are derived. Furthermore, important measures such Rnyi entropy and the Maximum Likelihood (ML) estimation are deduced for parameters. Conduct a Monte Carlo simulation to study behavior of parameter estimates. Finally, applications on three real data sets are discussed.

Development of Exponentiated Cosine Topp-Leone Generalized Family of Distributions and its Applications to Lifetime Data

“…Statistical distributions are utilized in various fields to represent real-world phenomena, such as life analysis, reliability, insurance, engineering, finance, economics, biology, medicine, and business materials (Al-Noor & Hilal, 2021;Al-saiary & Al-jadaani, 2022). However, classical distributions frequently found it difficult to effectively model diverse datasets due to skewness and multimodality.…”