Usig R-Statistical Software to Perform Simulations on Centralized and Decentralized Beta Distributions

Abstract

The beta distribution is one of the continuous probability distributions of application significance and is widely used to study the behavior of some random variables. The name is derived from the beta name of the mathematical function that appears in its equation. Beta functions are a class of random and controllable variables in the shape of a distribution, which is a continuous probability distribution defined over periods (0 , 1), In addition to the use of R programs showing how to apply these properties and some relationships through simulation, the R program was used to find the distributions resulting from the beta distribution relationship (central and decentralized of the first type) with some distributions that were derived mathematically and through the resulting distribution from the relationship.