Variance analysis of importance sampling based reliability sensitivity

Yue Wan, Zhenzhou Lu, Xiukai Yuan

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

By use of samples generated from importance sampling density function, the unbiased estimation of reliability sensitivity can be obtained, and the efficiency of the reliability sensitivity analysis can be improved. In order to compare the convergence of the importance sampling based reliability sensitivity analysis and Monte Carlo based reliability sensitivity analysis, the variance and variation coefficient of the reliability sensitivity assessment are derived in this contribution. Furthermore, the interval under the given confidence of the reliability sensitivity assessment based on importance sampling is computed approximately. The illustrations show that the importance sampling based reliability sensitivity is more efficient than Monte Carlo simulation based reliability sensitivity at the acceptable precision.

Original languageEnglish
Pages (from-to)606-611
Number of pages6
JournalJixie Qiangdu/Journal of Mechanical Strength
Volume30
Issue number4
StatePublished - Aug 2008

Keywords

  • Coefficient of variance
  • Important sampling
  • Reliability sensitivity
  • Variance

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