1. An Elicitation Procedure for the Generalized Trapezoidal Distribution with a Uniform Central Stage.
- Author
-
van Dorp, Johan René, Cruz Rambaud, Salvador, García Pérez, José, and Herrerías Pleguezuelo, Rafael
- Subjects
PAPER ,COMPUTATIONAL complexity ,COMPUTATIONAL intelligence ,DECISION making ,SIMULATION methods & models ,MODAL analysis ,LINEAR statistical models ,GENERATION of geometric forms ,DISTRIBUTION (Probability theory) - 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. [ABSTRACT FROM AUTHOR]
- Published
- 2007
- Full Text
- View/download PDF