Lower Confidence Limits for the Impact Probability Within a Circle in the Normal Case.

Abstract

Lower confidence limits are derived for the impact probability within a circle of fixed radius in the bivariate normal case with zero mean vector. For independent coordinates and known ratio of variances, the lower confidence limit is a strongly consistent estimator of the impact probability and is uniformly most accurate (UMA). When the ratio of the variances is also unknown, the lower confidence limit is a strongly consistent estimator of the impact probability. Some discussion is provided when the correlation between the coordinates is unknown. A Table of the impact probability function is provided which can be employed for both point estimation and for obtaining lower confidence limits and the use of the table is demonstrated. A FORTRAN program for the computation of the impact probability is included. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 15, 1973
Accession Number
AD0766492

Entities

People

  • H. Solomon
  • S. Zacks

Organizations

  • George Washington University

Tags

DTIC Thesaurus Topics

  • Computational Complexity
  • Computations
  • Confidence Limits
  • Data Science
  • Estimators
  • Information Science
  • Mathematical Analysis
  • Mathematics
  • Probability
  • Statistical Algorithms

Fields of Study

  • Mathematics

Readers

  • Explosive Engineering.
  • Regression Analysis.