Abstract
Order statistics find applications in various areas including communications and signal processing. In this paper, we introduce new results of the joint statistics of partial products of ordered random variables (RVs) based on a Mellin-transform-based unified analytical framework. With the proposed approach, we can systematically derive the joint statistics of any partial products of ordered statistics, in terms of the Mellin transform and the probability density function (PDF). Our Mellin-transform-based approach can apply when all the K-ordered RVs are involved even for more complicated cases, when only the Ks (Ks < K) best RVs are also considered. In addition, the closed-form expressions for the exponential RV special case are presented. As an application example, these results can apply to the performance analysis of various wireless communication systems over fading channels.
| Original language | English |
|---|---|
| Title of host publication | 2017 IEEE International Symposium on Information Theory, ISIT 2017 |
| Publisher | Institute of Electrical and Electronics Engineers Inc. |
| Pages | 2373-2377 |
| Number of pages | 5 |
| ISBN (Electronic) | 9781509040964 |
| DOIs | |
| Publication status | Published - 2017 Aug 9 |
| Event | 2017 IEEE International Symposium on Information Theory, ISIT 2017 - Aachen, Germany Duration: 2017 Jun 25 → 2017 Jun 30 |
Other
| Other | 2017 IEEE International Symposium on Information Theory, ISIT 2017 |
|---|---|
| Country | Germany |
| City | Aachen |
| Period | 17/6/25 → 17/6/30 |
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ASJC Scopus subject areas
- Theoretical Computer Science
- Information Systems
- Modelling and Simulation
- Applied Mathematics
Cite this
Mellin-transform-based new results of the joint statistics of partial products of ordered random variables. / Nam, Sung Sik; Ko, Young-Chai; Alouini, Mohamed Slim.
2017 IEEE International Symposium on Information Theory, ISIT 2017. Institute of Electrical and Electronics Engineers Inc., 2017. p. 2373-2377 8006954.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
T1 - Mellin-transform-based new results of the joint statistics of partial products of ordered random variables
AU - Nam, Sung Sik
AU - Ko, Young-Chai
AU - Alouini, Mohamed Slim
PY - 2017/8/9
Y1 - 2017/8/9
N2 - Order statistics find applications in various areas including communications and signal processing. In this paper, we introduce new results of the joint statistics of partial products of ordered random variables (RVs) based on a Mellin-transform-based unified analytical framework. With the proposed approach, we can systematically derive the joint statistics of any partial products of ordered statistics, in terms of the Mellin transform and the probability density function (PDF). Our Mellin-transform-based approach can apply when all the K-ordered RVs are involved even for more complicated cases, when only the Ks (Ks < K) best RVs are also considered. In addition, the closed-form expressions for the exponential RV special case are presented. As an application example, these results can apply to the performance analysis of various wireless communication systems over fading channels.
AB - Order statistics find applications in various areas including communications and signal processing. In this paper, we introduce new results of the joint statistics of partial products of ordered random variables (RVs) based on a Mellin-transform-based unified analytical framework. With the proposed approach, we can systematically derive the joint statistics of any partial products of ordered statistics, in terms of the Mellin transform and the probability density function (PDF). Our Mellin-transform-based approach can apply when all the K-ordered RVs are involved even for more complicated cases, when only the Ks (Ks < K) best RVs are also considered. In addition, the closed-form expressions for the exponential RV special case are presented. As an application example, these results can apply to the performance analysis of various wireless communication systems over fading channels.
UR - http://www.scopus.com/inward/record.url?scp=85034105321&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85034105321&partnerID=8YFLogxK
U2 - 10.1109/ISIT.2017.8006954
DO - 10.1109/ISIT.2017.8006954
M3 - Conference contribution
AN - SCOPUS:85034105321
SP - 2373
EP - 2377
BT - 2017 IEEE International Symposium on Information Theory, ISIT 2017
PB - Institute of Electrical and Electronics Engineers Inc.
ER -