A general framework for the asymptotic validity of two-stage procedures for selection and multiple comparisons with consistent variance estimators

  • Authors:
  • Marvin K. Nakayma

  • Affiliations:
  • New Jersey Institute of Technology, Newark, NJ

  • Venue:
  • Winter Simulation Conference
  • Year:
  • 2009

Quantified Score

Hi-index 0.00

Visualization

Abstract

We consider two-stage procedures for selection and multiple comparisons, where the variance parameter is estimated consistently. We examine conditions under which the procedures are asymptotically valid in a general framework. Our proofs of asymptotic validity require that the estimators at the end of the second stage are asymptotically normal, so we require a random-time-change central limit theorem. We explain how the assumptions hold for comparing means in transient simulations, steady-state simulations and quantile estimation, but the assumptions are also valid for many other problems arising in simulation studies.