Numerical Determination of the Distributions of Stopping Variables Associated with Sequential Procedures for Detecting Epochs of Shift in Distributions of Discrete Random Variables.

Abstract

Algorithms for the determination of the distribution functions of stopping variables are developed, for three types of sequential detection procedure. The first type is a Bayes quickest detection procedure. The second type is based on the crossing of linear boundaries by sample sums. The third type is a one-sided CUSUM control procedure. Approximations which particularly designed for computer application are given for the first type of stopping variables. Wiener process approximations, which significantly reduce the amount of computations required for the other two types of variables, are given. (Author)

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1973
Accession Number
AD0755758

Entities

People

  • Shelemyahu Zacks

Organizations

  • Case Western Reserve University

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Boundaries
  • Computations
  • Computers
  • Crossings
  • Detection
  • Distribution Functions
  • Mathematical Analysis
  • Mathematics
  • Random Variables

Fields of Study

  • Mathematics

Readers

  • Statistical inference.