Approximate Confidence Limits for a Product of Independent Positive Random Variables as Applied to ASW Exercise Data

Abstract

A general, but approximate, method is suggested to determine confidence limits for a product of independent positive random variables. The method is developed and the accuracy of the approximation is discussed in one of its applications: the Bayesian confidence limits for the product of N binomial parameters. Four applications (including the above), in which the factors in the product are probabilities are given together with numerical examples. These are from the antisubmarine warfare (ASW) field and constitute to the evaluation of operational data in that field and statistical data in many other fields.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1976
Accession Number
ADA024307

Entities

People

  • Niels Bache

Organizations

  • SACLANT ASW Research Centre

Tags

Communities of Interest

  • Air Platforms
  • Ground and Sea Platforms
  • Sensors

DTIC Thesaurus Topics

  • Abstracts
  • Accuracy
  • Asymptotic Series
  • Binomials
  • Computer Programs
  • Computers
  • Confidence Limits
  • Data Science
  • Differential Equations
  • Distribution Functions
  • Governments
  • Information Science
  • Nato
  • Normal Distribution
  • Probability
  • Random Variables
  • Statistical Analysis

Fields of Study

  • Mathematics

Readers

  • Acoustical Oceanography.
  • Statistical inference.

Technology Areas

  • AI & ML
  • AI & ML - Bayesian Inference
  • AI & ML - Machine Learning Algorithms