An improved hazard rate twisting approach for the statistic of the sum of subexponential variates

Nadhir B. Rached, Abla Kammoun, Mohamed-Slim Alouini, Raul Tempone

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

In this letter, we present an improved hazard rate twisting technique for the estimation of the probability that a sum of independent but not necessarily identically distributed subexponential Random Variables (RVs) exceeds a given threshold. Instead of twisting all the components in the summation, we propose to twist only the RVs which have the biggest impact on the right-tail of the sum distribution and keep the other RVs unchanged. A minmax approach is performed to determine the optimal twisting parameter which leads to an asymptotic optimality criterion. Moreover, we show through some selected simulation results that our proposed approach results in a variance reduction compared to the technique where all the components are twisted.
Original languageEnglish (US)
Pages (from-to)14-17
Number of pages4
JournalIEEE Communications Letters
Volume19
Issue number1
DOIs
StatePublished - Jan 2015

ASJC Scopus subject areas

  • Modeling and Simulation
  • Computer Science Applications
  • Electrical and Electronic Engineering

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