A Joint Central Limit Theorem for the Sample Mean and Regenerative Variance Estimator.

Abstract

A bivariate central limit theorem is proved involving a point estimate for r and the asymptotic variance of this point estimate. This result can be applied immediately to the ratio estimation problem that arises in regenerative simulation. Numerical examples show that the variance of the regenerative variance estimator is not necessarily minimized by using the return state with the smallest expected cycle length. Additional keywords: Computations; Tables(data).

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1985
Accession Number
ADA158393

Entities

People

  • D. L. Iglehart
  • P. W. Glynn

Organizations

  • Stanford University

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Computational Complexity
  • Computations
  • Computing-Related Activities
  • Contracts
  • Cooperation
  • Data Science
  • Estimators
  • Information Science
  • Interdisciplinary Science
  • Mathematical Analysis
  • Mathematics
  • Simulations
  • Statistics
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Auditory Neuroscience/Auditory Physiology.
  • Regression Analysis.