Chi-square and Kolmogorov-Smirnov goodness of fit tests in polar coordinates

The polar coordinate system is a two-dimensional system. This system is used in many areas such as mathematics, physics, engineering, maritime, robot technology, airplanes, unmanned aerial vehicles, telephone receivers. In the polar coordinate system, the relationship between the two coordinates is used in situations where it is more easily expressed with angular and spatial values. Such a relationship is also determined by the help of trigonometric formulas. In this study, some bivariate distribution functions are defined in the polar coordinate system and random numbers are produced from them. In these definitions, when the angular change of the probability density function is fixed, the spatial variation is made based on univariate probability density function. In the polar system, developed for random numbers generated Chi-Square and Kolmogorov-Smirnov goodness of fit tests have been tried and the results of the simulations are tabulated.