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Generalized trapezoidal distributions
Authors:J René van Dorp  Samuel Kotz
Institution:(1) Department of Engineering Management & Systems Engineering, The George Washington University, 1776 G Street, N.W., Washington D.C. 20052 (e-mail: dorpjr@seas.gwu.edu; kotz@seas.gwu.edu)., US
Abstract:We present a construction and basic properties of a class of continuous distributions of an arbitrary form defined on a compact (bounded) set by concatenating in a continuous manner three probability density functions with bounded support using a modified mixture technique. These three distributions may represent growth, stability and decline stages of a physical or mental phenomenon. Revised: April 2002
Keywords:: Mixtures of Distributions  Risk Analysis  Applied Physics
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