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On the sums of probability functions of order statistics |
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| Authors: | So Ryoung Park Iickho Song Seokho Yoon Taehun An Hwang-Ki Min |
| Institution: | 1. School of Information, Communications, and Electronics Engineering, The Catholic University of Korea, Bucheon 420-743, Republic of Korea;2. Department of Electrical Engineering, Korea Advanced Institute of Science and Technology, Daejeon 305-701, Republic of Korea;3. College of Information and Communication Engineering, Sungkyunkwan University, Suwon 440-746, Republic of Korea |
| Abstract: | When a random vector is independent and identically distributed, we have expressed the sums of the marginal probability functions of the order statistics of the random vector in terms of the common marginal probability functions of the random vector. We have also derived the relationships between the sums of the joint probability functions of two order statistics of the random vector and the common marginal probability functions of the random vector. |
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