Selecting the best statistical distribution using multiple criteria

  • Authors:
  • Chris Tofallis

  • Affiliations:
  • The Business School, University of Hertfordshire, College Lane, Hatfield, Hertfordshire, AL10 9AB, United Kingdom

  • Venue:
  • Computers and Industrial Engineering
  • Year:
  • 2008

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Abstract

When selecting a statistical distribution to describe a set of data there are a number of criteria that can be used. Rather than select one of these criteria, we look at how multiple criteria can be combined to make the final selection. Two approaches have previously been presented in Computers and Industrial Engineering. We review these, and present a simpler method based on multiplicative aggregation. This has the advantage of being able to combine measures which are not measured on the same scale without having to use a normalisation procedure. Moreover, this method is scale-invariant, thus re-scaling the criteria values does not affect the final ranking. The method requires strictly positive criteria values measured on a ratio scale. The proposed multiplicative method is transparent, simple to understand, apply and communicate.