Measurement Uncertainties in Science and Technology by Michael Grabe

Author:Michael Grabe
Language: eng
Format: epub, pdf
Publisher: Springer International Publishing, Cham

(11.46)

expressing solely the influence of random errors. Hence, the empirical variance of the estimator is given by

(11.47)

whereat the

(11.48)

denote the empirical variances and covariances of the input data which on their part constitute a matrix

The auxiliary vector

transfers (11.47) in

(11.49)

We consider the ;   l=1,…,n to be normally distributed—whether or not there are dependencies between the individuals x 1l ,x 2l ,…,x ml ; l fixed, remains immaterial. As the are also independent, the Student variable reads

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