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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|
|Pages:||pp. 015106 - 01511|
|Keywords:||rectangular distributio, uncertainty in measurement|
|Research Areas:||Math, Modeling|
|PDF version:||Click here to retrieve PDF version of paper (117KB)|