Importance Sampling for Estimation of Small Probabilities.

Abstract

The use of importance sampling for estimation of small probabilities is illustrated by means of a signal-detection example. In particular, false alarm probabilities in the ten to the minus 7th power range are accurately estimated by means of only 1000 independent trials. The fundamental variance-reducing capability of importance sampling is explored and used to significantly improve the performance of the probability estimate for the detection example considered. Guidelines for choosing good data-generation algorithms are presented. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Mar 23, 1981
Accession Number
ADA101097

Entities

People

  • Albert H. Nuttall

Organizations

  • Naval Underwater Systems Center

Tags

Communities of Interest

  • Energy and Power Technologies
  • Ground and Sea Platforms

DTIC Thesaurus Topics

  • Algorithms
  • Demographic Cohorts
  • Detection
  • False Alarms
  • Observation
  • Plastic Explosives
  • Power Levels
  • Probability
  • Probability Density Functions
  • Random Variables
  • Signal Detection
  • Signal Processing
  • Simulations
  • Standards
  • Statistics
  • Universities
  • Warning Systems

Readers

  • Regression Analysis.