M.Sc. Tezi Görüntüleme

Student: AYŞE PAK
Supervisor: YRD. DOÇ. DR. ORHAN KESEMEN
Department: İstatistik ve Bilgisayar Bilimleri (İstatistik)
Institution: Graduate School of Natural and Applied Sciences
University: Karadeniz Technical University Turkey
Title of the Thesis: CHI-SQUARE AND KOLMOGOROV-SMIRNOV GOODNESS OF FIT TESTS IN POLAR COORDINATES
Level: M.Sc.
Acceptance Date: 16/6/2017
Number of Pages: 67
Registration Number: i3219
Summary:

      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.

Key Words: Polar Distribution Functions, Random Number Generation In Polar Distribution Functions, Histogram In Polar Data, Chi-Square Goodness Of Fit Test In Polar System, Kolmogorov Smirnov Goodness Of Fit Tests In Polar System