Recent developments in input modeling with Bézier distributions

  • Authors:
  • Mary Ann Flanigan Wagner;James R. Wilson

  • Affiliations:
  • Boeing Information Services, 7990 Boeing Court MS CV-82, Vienna, VA;Department of Industrial Engineering, North Carolina State University, Raleigh, NC

  • Venue:
  • WSC '96 Proceedings of the 28th conference on Winter simulation
  • Year:
  • 1996

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Abstract

New methods are presented for estimating univariate and bivariate Bezier distributions. A likelihood ratio test is used to estimate the number of control points for a univariate Bezier distribution fitted to sample data. To estimate the control points of a bivariate Bezier distribution with fixed marginals based on either sample data or subjective information about the joint dependency structure, a linear-programming approach is formulated. These methods are implemented in the Windows-based software system called PRIME-PRobabilistic Input Modeling Environment. Several examples illustrate the application of these estimation procedures.