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On the sums of probability functions of order statistics
- Authors
- Park, SR[Park, So Ryoung]; Song, I[Song, Iickho]; Yoon, S[Yoon, Seokho]; An, T[An, Taehun]; Min, HK[Min, Hwang-Ki]
- Issue Date
- Jun-2013
- Publisher
- KOREAN STATISTICAL SOC
- Keywords
- Impulse function; Order statistics; Probability fu
- Citation
- JOURNAL OF THE KOREAN STATISTICAL SOCIETY, v.42, no.2, pp.257 - 265
- Indexed
- SCIE
SCOPUS
KCI
- Journal Title
- JOURNAL OF THE KOREAN STATISTICAL SOCIETY
- Volume
- 42
- Number
- 2
- Start Page
- 257
- End Page
- 265
- ISSN
- 1226-3192
- 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. (C) 2012 The Korean Statistical Society. Published by Elsevier B.V. All rights reserved.
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