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Author(s): | Raghu N. Kacker; James F. Lawrence; |
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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 (117KB) |