Regenerative Sampling and Monotonic Branching Processes.

Abstract

A regenerative sampling plan is proposed for the sequential comparison of two populations having positive integral response. It is designed to be both an extension and an improvement of the play-the-winner rules for binary trials in the sense that a much wider variety of responses is allowed, the fraction of inferior selections approaches zero, and th play-the-winner rule is contained as a special cse. Almost sure convergence and moment convergence in the pth order is studied for the fraction of inferior selections and for a maximum likelihood estimator of the mean response. A conditional test of hypothesis is given for the binary case. (Author)

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1986
Accession Number
ADA170145

Entities

People

  • Kai F. Yu
  • Stephen D. Durham

Organizations

  • University of South Carolina

Tags

Communities of Interest

  • Biomedical
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Algorithms
  • Classification
  • Clinical Trials
  • Consistency
  • Convergence
  • Demographic Cohorts
  • Estimators
  • Mathematics
  • New York
  • Probability
  • Random Variables
  • Sampling
  • South Carolina
  • Statistical Algorithms
  • Statistics
  • United States

Fields of Study

  • Mathematics

Readers

  • Brain and Cognitive Science; Experimental Psychology; Cognitive Neuroscience
  • Statistical inference.