Kacker, R.
and Lawrence, J.
(2007),
Trapezoidal and Triangular Distributions for Type B Evaluation of Standard Uncertainty, Metrologia, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=50853 (Accessed May 1, 2026)
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Trapezoidal and Triangular Distributions for Type B Evaluation of Standard Uncertainty
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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
Pub Type
Journals
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Keywords
ISO-GUM, measurement uncertainty, rectangular distribution uncertainty, variance components
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Created February 26, 2007, Updated January 27, 2020