The correlation between mean and variance estimators

  • Authors:
  • Keebom Kang;David Goldsman

  • Affiliations:
  • Department of I.E., University of Miami, Coral Gables, FL;School of ISyE, Georgia Institute of Technology, Atlanta, GA

  • Venue:
  • WSC '85 Proceedings of the 17th conference on Winter simulation
  • Year:
  • 1985

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Abstract

One of the pitfalls encountered when using confidence interval estimators for the mean of a stationary stochastic process is that the mean and variance estimators (X and V) may be correlated. We derive Corr (X, V) for various variance estimators and stochastic processes, and we examine the effects of this correlation upon confidence interval estimator performance. Among the variance estimators under consideration are those arising from the methods of batched means and standardized time series. Both small sample and asymptotic results are reported.