Random samples with known sample statistics: With application to variance reduction

  • Authors:
  • Russell C.H. Cheng

  • Affiliations:
  • Department of Mathematics, UWIST, Colum Drive, Cardiff, CFI 3EU U.K.

  • Venue:
  • WSC '83 Proceedings of the 15th conference on Winter Simulation - Volume 2
  • Year:
  • 1983

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Abstract

A number of sampling schemes are described which aim to improve the accuracy of estimators in simulation experiments. The schemes negatively correlate key sample statistics in pairs of runs or blocks of runs. Use is made of generators which produce random samples from certain distributions when sample statistics like the mean and dispersion are prescribed. Special cases considered include normal, inverse Gaussian and gamma generators. These can be used in their own right or as the basis of generators of other distributions. Guide lines are given which indicate the conditions under which the schemes might be effective.