A Success-Run Equation for Detection Applications.

Abstract

An exact expression for the probability of success runs with Bernoulli trails has been developed which is equivalent to Feller's approximation but does not have the constraints applicable to the approximate solution. Examples of applying the success-run expression are estimation of the design requirements for detection systems whose performance is specified by the probability of obtaining a sequence of consecutive detections over an observation span, computation of the performance of miltiline barriers for obtaining the direction of target transit, computation of the reliability for barriers or parallel systems of any size, and classification of sources as targets and nontargets in regions of high false-alarm backgrounds. The results also extend to include Markov-dependent Bernoulli trials, applicable to detection trials in which alerting occurs. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 21, 1973
Accession Number
AD0775901

Entities

People

  • M. Potosky

Organizations

  • United States Naval Research Laboratory

Tags

DTIC Thesaurus Topics

  • Classification
  • Computations
  • Detection
  • Detectors
  • Equations
  • False Alarms
  • Mathematics
  • Observation
  • Probability
  • Reliability
  • Sequences
  • Warning Systems

Readers

  • Mathematical Modeling and Probability Theory.
  • Operations Research
  • Sensor Fusion and Tracking Systems.