Probability function of discrete order statistics

In the first part of the study, the histories of order statistics and developments in this field up to now have been related. In the second part of the study, order statistics and general expression of probability density function and distribution function of order statistics is given. Besides moments which are obtained through distributions are given. In the third part of the study, distributions of order statistics from discrete uniform distributions and these moments are examined. Finally, r th probability density function of order statistics from discrete distributions is obtained. By generalized. Also , special results are given by obtained function.