Statistical convergence of sequences of random variables

In the first chapter of this thesis that consists of three chapters, we give some fundamental definitions and theorems which will be used in the next chapters and examine some properties of statistical convergence. In the second chapter we examine the statistical convergence in probability, statistical convergence in the rth moment, statistical convergence in distribution of sequences of random variables. In the last chapter we give convergence, convergence in the rth moment, convergence in distribution of sequences of random variables. Key Words: Distribution Function, Sequences of Random Variables, Statistical Convergence.