Student:	Tuncay Uluyurt
Supervisor:	Assist. Prof. 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:	GOODNESS OF FIT TESTS FOR CONTINUOUS BIVARIATE DISTRIBUTION FUNCTIONS IN POLYGONAL AREA
Level:	M.Sc.
Acceptance Date:	12/6/2015
Number of Pages:	59
Registration Number:	i2936

Summary:

In this study there has been tried a new approach in order to do goodness of fit tests of

an arbitrary two-dimensional area with the help of classical and empirical distribution

functions based on bivariate distributions. Arbitrary two-dimensional area is defined by a

polygonal approach.

Polygonal definition area is firstly divided into triangles to calculate the distribution

function of the random variables. The Delaunay algorithm is preferred for triangulation

operation. Statistical calculations are carried out by analyzing each of the triangles separately.

For each triangular different approaches have been tried to the calculate distribution function,

observed frequencies, the expected frequency and the values of empirical distribution function

With the help of parameters obtained by using these approaches, Chi-square and

Kolmogorov-Smirnov tests with two variables have been carried out successfully.

Key Words: Chi-square test, Kolmogorov-Smirnov test, Bivariate distributions, Goodness of

fit test, Polygonal approximation.