Title | ||
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An Elicitation Procedure for the Generalized Trapezoidal Distribution with a Uniform Central Stage |
Abstract | ||
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Recent advances in computation technology for decision/simulation and uncertainty analyses have revived interest in the triangular distribution and its use to describe uncertainty of bounded input phenomena. The trapezoidal distribution is a generalization of the triangular distribution that allows for the specification of the modal value by means of a range of values rather than a single point estimate. Whereas the trapezoidal and the triangular distributions are restricted to linear geometric forms in the successive stages of the distribution, the generalized trapezoidal (GT) distribution allows for a nonlinear behavior at its tails and a linear incline (or decline) in the central stage. In this paper we develop two novel elicitation procedures for the parameters of a special case of the GT family by restricting ourselves to a uniform (horizontal) central stage in accordance with the central stage of the original trapezoidal distribution. |
Year | DOI | Venue |
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2007 | 10.1287/deca.1070.0093 | Decision Analysis |
Keywords | DocType | Volume |
triangular distribution,generalized trapezoidal,linear geometric form,uncertainty analysis,GT family,linear incline,Elicitation Procedure,Uniform Central Stage,trapezoidal distribution,original trapezoidal distribution,successive stage,Generalized Trapezoidal Distribution,central stage | Journal | 4 |
Issue | Citations | PageRank |
3 | 3 | 0.57 |
References | Authors | |
4 | 4 |
Name | Order | Citations | PageRank |
---|---|---|---|
J. René van Dorp | 1 | 116 | 16.43 |
Salvador Cruz Rambaud | 2 | 44 | 13.60 |
José García Pérez | 3 | 31 | 6.45 |
Rafael Herrerías Pleguezuelo | 4 | 3 | 0.57 |