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Publication Citation: Derivation of Isosceles Trapezoidal Distribution

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Author(s): Raghu N. Kacker; James F. Lawrence;
Title: Derivation of Isosceles Trapezoidal Distribution
Published: December 01, 2010
Abstract: It is known that, if the mid-point of a rectangular distribution is specified, the half-width is inexactly known, and the state of knowledge about the half-width may be represented by a narrower rectangular distribution then the resulting distribution looks like an isosceles trapezoid whose sloping sides are curved (an isocurvilinear trapezoid). What sort of probability distribution must the half-width have for the resulting distribution to be an isosceles trapezoid? We show that if the distribution of the half-width is a variation of the rectangular distribution whose top is sloping (a sloping top distribution) then the resulting distribution is isosceles trapezoid.
Citation: Measurement Science and Technology
Volume: 22
Pages: pp. 015106 - 01511
Keywords: rectangular distributio, uncertainty in measurement
Research Areas: Math, Modeling
PDF version: PDF Document Click here to retrieve PDF version of paper (117KB)