Interval Estimates for Probabilities of Non-Perforation Derived From a Generalized Pivotal Quantity

Abstract

A generalized pivotal quantity is developed that yields exact confidence intervals for the cumulative distribution function (CDF) at a specific value when the underlying distribution is assumed to be normal. This problem is similar to the development of a tolerance interval and unsurprisingly, its solution involves the non-central "t" distribution. Confidence bands for a normal CDF follow easily. Military applications include vulnerability and lethality assessment (e.g., interval estimation for the probability of non-perforation against homogeneous armored targets).

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 2005
Accession Number
ADA437277

Entities

People

  • David W. Webb

Organizations

  • United States Army Research Laboratory

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Confidence Limits
  • Data Analysis
  • Data Science
  • Distribution Functions
  • Information Science
  • Intervals
  • Mathematics
  • Military Applications
  • Military Research
  • New York
  • Normal Distribution
  • Perforation
  • Probability
  • Random Variables
  • Real Numbers
  • Statistical Algorithms
  • Statistics

Fields of Study

  • Mathematics

Readers

  • Military Science and Technology Research and Modernization.
  • Statistical inference.