Determining the Accuracy of the Triangular and PERT Distributions

Imran A. Khan (), J. Eric Bickel () and Robert K. Hammond ()
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Imran A. Khan: Operations Research & Industrial Engineering, The University of Texas, Austin, Texas 78712
J. Eric Bickel: Operations Research & Industrial Engineering, The University of Texas, Austin, Texas 78712; Information, Risk, and Operations Management, The University of Texas, Austin, Texas 78712
Robert K. Hammond: Information, Risk, and Operations Management, The University of Texas, Austin, Texas 78712

Decision Analysis, 2023, vol. 20, issue 2, 151-165

Abstract: The Triangular and PERT (Program Evaluation Review Technique) distribution probability density functions are commonly used in decision and risk analyses. These distributions are popular because they are each specified by only three points (two support bounds and the mode) that are believed to be easy to assess from experts or data. In this paper, we carefully analyze how close the Triangular and PERT distributions are to other distributions sharing the same support and mode and show that the errors induced by the Triangular and PERT distributions are significant. We further show that distributions that are characterized by the median tend to provide a better fit than do those that are characterized by the mode.

Keywords: J-QPD; Triangular distribution; PERT distribution; expert elicitations; decision analysis; project management (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:inm:ordeca:v:20:y:2023:i:2:p:151-165

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