| 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: |
 Click here to retrieve PDF version of paper (114KB) |
