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Generalized trapezoidal distributions

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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.

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Authors and Affiliations

  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

    J. René van Dorp & Samuel Kotz

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  1. J. René van Dorp
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  2. Samuel Kotz
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Revised: April 2002

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Dorp, J., Kotz, S. Generalized trapezoidal distributions. Metrika 58, 85–97 (2003). https://doi.org/10.1007/s001840200230

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  • DOI: https://doi.org/10.1007/s001840200230

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