Simulation of a new circular distribution using IDF transformation

This research introduces a new compound circular probability distribution, the "Cardiac-Cardiac Circular Distribution," obtained by combining the Cardiac Circular Distribution using the inverse transformation method as a basis for proposing new circular probability distributions.Compound distribution are distinguished by their flexibility and high accuracy in representing statistical data, as they possess more parameters compared to standard probability distributions.Some mathematical properties of the proposed distribution, such as location, variance, and cumulative function, are derived.The maximum likelihood method is employed to estimate the parameters of the Cardiac-Cardiac Circular Distribution, and a simulation is made using the statistical criterion of mean squared error (MSE) to study the behavior of the new circular distribution in circular coordinate by testing more than one model.