Mathematica tools for uncertainty analysis

7th Brazilian Congress on Metrology

Mikhailov, M.D.^1 ; Aibe, V.Y.^1

Inmetro, Fluid Dynamics Metrology, Rio de Janeiro, Brazil^1

关键词: Analytical method;    ISO GUM;    Mathematica;    Random variates;    Statistical distribution;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/575/1/012042/pdf
DOI  :  10.1088/1742-6596/575/1/012042

来源: IOP

【 摘 要 】

Some functions of the author's Mathematica 9 package are presented. Links are given to the author's interactive demonstrations. Mathematica supports 143 types of statistical distribution covering not only metrology but almost all statistical areas. The Supplement 1 to the ISO GUM mentions that analytical methods are ideal ones, but assume they are applicable only in simple cases, and recommends Monte Carlo method. In contrast, this paper presents Mathematica functions that can explore a multitude of methods in order to find analytical, numerical, or statistical results using (usually) one million random variates.