Construction of a new compound circular probability distribution

Abstract

This research presents the complex circular spider distribution obtained by using the inverse transforms rule as a base to propose new circular probability distributions that are characterized as distributions with flexibility and high accuracy in representing statistical data, as they have more parameters compared to probability distributions. We will derive some mathematical properties of the proposed distribution, the expectation, variance, aggregate function, and survival function. The method of greatest possibility was used to estimate the parameters of the circular spider distribution