Analytical study of the generalized I-function and its applications in statistical distributions

The "I-function" refers to a certain class of special functions known as the Generalized Fox H-function or an extension of Saxena's I-function. It is a versatile instrument used in many mathematics and technical domains, especially in communication systems and signal processing, often utilized to represent intricate phenomena. In statistics, complicated probability distributions are represented and analyzed using generalized I-functions, especially when conventional distributions are inadequate. The main of this paper is to discuss the Generalized I-Function and Its Applications in Statistical Distributions hence, In this work, we covered the fundamental idea and description of G-Functions, G-I-Functions, and Integrals Related to I-Functions. We continued by evaluating the Generalized I-Function's uses in statistical distributions in this article. It is concluded from the overall paper that the Generalized I-function provides statisticians with a powerful and adaptable toolset for analyzing complex data structures, improving model fit, and capturing intricate probabilistic behaviors.