Title
An Elicitation Procedure for the Generalized Trapezoidal Distribution with a Uniform Central Stage
Abstract
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
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