## Yıl:2019   Cilt: 5   Sayı: 2   Alan: Fen Bilimleri ve Matematik Temel Alanı

Mehmet GÜNGÖR ,Yunus BULUT

# On Order Statistics of Discrete Vectors

In this study, joint distributions of any p order statistics of nonidentically distributed discrete random vectors are expressed. Also, joint distributions are obtained in form of integral. Then, results related to probability function of rth order statistic of independent but not necessarily identically distributed discrete random vectors, probability functions of minimum and maximum order statistics of independent but not necessarily identically distributed discrete random vectors are given. Finally, distribution function of rth order statistic of independent but not necessarily identically distributed discrete random vectors and distribution functions of minimum and maximum order statistics of independent but not necessarily identically distributed discrete random vectors are given. In our study, probability and distribution functions are expressed by converting from permanent form to integral form.

Anahtar Kelimeler: Order statistics, discrete random vector, probability function, distribution function, permanent

#### On Order Statistics of Discrete Vectors

In this study, joint distributions of any p order statistics of nonidentically distributed discrete random vectors are expressed. Also, joint distributions are obtained in form of integral. Then, results related to probability function of rth order statistic of independent but not necessarily identically distributed discrete random vectors, probability functions of minimum and maximum order statistics of independent but not necessarily identically distributed discrete random vectors are given. Finally, distribution function of rth order statistic of independent but not necessarily identically distributed discrete random vectors and distribution functions of minimum and maximum order statistics of independent but not necessarily identically distributed discrete random vectors are given. In our study, probability and distribution functions are expressed by converting from permanent form to integral form.

Keywords: Order statistics, discrete random vector, probability function, distribution function, permanent

#### Atıf İçin

Güngör, M. & Bulut, Y. (2019). On Order Statistics of Discrete Vectors. Journal of Current Research on Engineering, Science and Technology, 5 (2), 47-64.

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