Using the wrapped method to construct a probability distribution (wrapped-zeghdoul)

Abstract

The Wrapped Distribution is one of the most important types of probability distributions in the field of theory and its results, as it is used in many specialized scientific fields, such as statistics, digital analysis, digital processing of photographers, witnesses, and artificial intelligence. In this research, the diverse distribution (Wrapped -Zeghdoul distribution) was distributed based on the linear basis distribution (distribution-Zeghdoul), if the data that the proposed distribution is only concerned with the normal to polar (measured by angles) and then the proposed multiple-display Wrapped -Zeghdoul statistical and structural for the proposed distribution and then the parameters of the new distribution based on three methods in estimation, which are the maximum likelihood method (maximum likelihood), the normal large areas method (LS) (least squares method) and the weighted large areas method, and to quickly distinguish between the methods of estimating the parameters and the survival condition, the Monte Carlo simulation method (Monte Carlo) was employed using the canceled program (mathematical) to learn more about different experiments (small) 30-20), medium (70-50) and large (100)) based on the rubber Mean Square Error (MSE). The results showed the superiority of the maximum likelihood method when Large sizes as well as the largest method for the largest normal and large squares small companies when Hajji small large.