A novel method for fitting unimodal continuous distributions on a bounded domain utilizing expert judgment estimates
Authors: Kotz, Samuel; Van Dorp, J.
Source: IIE Transactions, Volume 38, Number 5, May 2006 , pp. 421-436(16)
Publisher: Taylor and Francis Ltd
Abstract:Recent advances in computation technology for simulation/uncertainty analyses have shed new light on the triangular distribution and its use to describe the uncertainty of bounded input phenomena. Herein, we develop a novel fitting procedure for a continuous unimodal (four-parameter) family of distributions on a bounded domain, utilizing three properly selected quantile estimates and an estimate of the most likely value. The family in question is the two-sided power family of which the triangular distribution is a member. We analyze some of the procedure's fitting characteristics and use them to estimate the waiting time distribution in a stationary M/G/1 queuing system and the completion time distribution of a small project network example taken from the shipbuilding domain.
Document Type: Research Article
Affiliations: Department of Engineering Management and Systems Engineering, The George Washington University, Washington, DC, 20052, USA, Email: email@example.com
Publication date: May 1, 2006