Empirical evaluation of data-based density estimation

  • Authors:
  • E. Jack Chen;W. David Kelton

  • Affiliations:
  • BASF Corporation, Rockaway, New Jersey;University of Cincinnati, Cincinnati, Ohio

  • Venue:
  • Proceedings of the 38th conference on Winter simulation
  • Year:
  • 2006

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Abstract

This paper discusses implementation of a sequential procedure to estimate the steady-state density of a stochastic process. The procedure computes sample densities at certain points and uses Lagrange interpolation to estimate the density f (x). Even though the proposed sequential procedure is a heuristic, it does have strong basis. Our empirical results show that the procedure gives density estimates that satisfy a pre-specified precision requirement. An experimental performance evaluation demonstrates the validity of using the procedure to estimate densities.