Kacker, R.
and Lawrence, J.
(2010),
Derivation of Isosceles Trapezoidal Distribution, Measurement Science and Technology, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=904335
(Accessed October 18, 2025)
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Derivation of Isosceles Trapezoidal Distribution
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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
Pub Type
Journals
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Keywords
rectangular distributio, uncertainty in measurement
Citation
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Created December 1, 2010, Updated February 19, 2017