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Technical note-on estimating quantile sensitivities via infinitesimal perturbation analysis

  • Tongji University
  • University of Maryland, College Park

Research output: Contribution to journalArticlepeer-review

Abstract

Hong (2009) [Hong LJ (2009) Estimating quantile sensitivities. Oper. Res. 57(1):118-130.] introduced a general framework based on probability sensitivities and a conditional expectation relationship for estimating quantile sensitivities by infinitesimal perturbation analysis (IPA). We present an alternative more direct derivation of the IPA estimators that leads to simplified proofs for strong consistency and convergence rate of the unbatched estimator, and strong consistency and a central limit theorem for the batched estimator.

Original languageEnglish
Pages (from-to)435-441
Number of pages7
JournalOperations Research
Volume63
Issue number2
DOIs
StatePublished - 1 Mar 2015
Externally publishedYes

Keywords

  • Gradient estimation
  • Monte Carlo simulation
  • Quantile
  • Sensitivity analysis

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