On the relationship between batch means, overlapping means and spectral estimation

  • Authors:
  • Peter D. Welch

  • Affiliations:
  • IBM Thomas J. Watson Research Center, Yorktown Heights, New York

  • Venue:
  • WSC '87 Proceedings of the 19th conference on Winter simulation
  • Year:
  • 1987

Quantified Score

Hi-index 0.00

Visualization

Abstract

The conventional method of batch means and the overlapping batch means approach of Meketon and Schmeiser are related to spectral estimation via the time averaging of subsequence periodograms. It is shown that most of the reduction in the variance of the variance estimate can be achieved with modest amounts of overlapping. This may have practical implications because of the large number of batches required for the statistical test of lack of correlation. and the usual practice of rebatching the data after this test is passed.