Importance Sampling for Tail Probabilities

Abstract

Our interest is in the accurate and efficient evaluation of very small probabilities. Thus, we seek methods with bounded coefficient of variation as the probability decreases and we assess their performance. The univariate case is explored for a heuristic for construction of sampling density families. The multivariate case provides interesting connections with Mills' ratio.

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Document Details

Document Type
Technical Report
Publication Date
Feb 06, 1991
Accession Number
ADA232412

Entities

People

  • Satish Iyengar

Organizations

  • Stanford University

Tags

DTIC Thesaurus Topics

  • Coefficients
  • Convex Sets
  • Data Science
  • Estimators
  • Gaussian Distributions
  • Heuristic Methods
  • Information Science
  • Military Research
  • Monte Carlo Method
  • Normal Distribution
  • Optimal Estimators
  • Probability
  • Random Variables
  • Sampling
  • Statistics
  • United States
  • United States Government

Fields of Study

  • Mathematics

Readers

  • Regression Analysis.
  • Systems Analysis and Design