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dc.contributor.authorBen Rached, Nadhir
dc.contributor.authorBotev, Zdravko
dc.contributor.authorKammoun, Abla
dc.contributor.authorAlouini, Mohamed-Slim
dc.contributor.authorTempone, Raul
dc.date.accessioned2019-01-13T06:32:41Z
dc.date.available2019-01-13T06:32:41Z
dc.date.issued2018-09-26
dc.identifier.citationBen Rached, N., Botev, Z., Kammoun, A., Alouini, M.-S., & Tempone, R. (2018). On the Sum of Order Statistics and Applications to Wireless Communication Systems Performances. IEEE Transactions on Wireless Communications, 17(11), 7801–7813. doi:10.1109/twc.2018.2871201
dc.identifier.issn1536-1276
dc.identifier.issn1558-2248
dc.identifier.doi10.1109/TWC.2018.2871201
dc.identifier.urihttp://hdl.handle.net/10754/630799
dc.description.abstractWe consider the problem of evaluating the cumulative distribution function (CDF) of the sum of order statistics, which serves to compute outage probability (OP) values at the output of generalized selection combining receivers. Generally, closed-form expressions of the CDF of the sum of order statistics are unavailable for many practical distributions. Moreover, the naive Monte Carlo (MC) method requires a substantial computational effort when the probability of interest is sufficiently small. In the region of small OP values, we instead propose two effective variance reduction techniques that yield a reliable estimate of the CDF with small computing cost. The first estimator, which can be viewed as an importance sampling estimator, has bounded relative error under a certain assumption that is shown to hold for most of the challenging distributions. A possible improvement of this estimator is then proposed for the Pareto and the Weibull cases. The second is a conditional MC estimator that achieves the bounded relative error property for the generalized Gamma case and the logarithmic efficiency for the Log-normal case. Finally, the efficiency of these estimators is compared via various numerical simulations.
dc.language.isoen
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)
dc.relation.urlhttps://ieeexplore.ieee.org/abstract/document/8472928
dc.titleOn the Sum of Order Statistics and Applications to Wireless Communication Systems Performances
dc.typeArticle
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.identifier.journalIEEE Transactions on Wireless Communications
dc.eprint.versionPost-print
dc.contributor.institutionSchool of Mathematics and Statistics, University of New South Wales, Sydney, NSW, Australia
dc.contributor.affiliationKing Abdullah University of Science and Technology (KAUST)
dc.identifier.arxivid1711.04280
dc.source.volume17
dc.source.issue11
dc.source.beginpage7801
dc.source.endpage7813
refterms.dateFOA2019-01-13T06:32:41Z
dc.source.journaltitleIEEE Transactions on Wireless Communications
dc.date.published-online2018-09-26
dc.date.published-print2018-11


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