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Publication Citation: Trapezoidal and Triangular Distributions for Type B Evaluation of Standard Uncertainty

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Author(s): Raghu N. Kacker; James F. Lawrence;
Title: Trapezoidal and Triangular Distributions for Type B Evaluation of Standard Uncertainty
Published: February 26, 2007
Abstract: A Type B standard uncertainty is determined from a probability distribution specified by scientific judgment based on all available information. The ISO-GUM discusses symmetric distributions only. Sometimes an asymmetric distribution is needed. We describe a trapezoidal distribution that may be asymmetric. Triangular and rectangular distributions are special cases of trapezoidal distribution. Then we discuss how a trapezoidal distribution may be used to determine an asymmetric correction for bias and its associated standard uncertainty.
Citation: Metrologia
Volume: 44
Pages: pp. 117 - 127
Keywords: ISO-GUM;measurement uncertainty;rectangular distribution uncertainty;variance components
Research Areas: Math
PDF version: PDF Document Click here to retrieve PDF version of paper (206KB)