Measurement uncertainty in a multivariate model: A novel approach

Abstract

The confidence region and the related confiidence level are the bases for the uncertainty expression in a measurement process. In this work a multivariate model is considered and different situations with respect the parameiers constituting the model are examined Computational results are reported. and analysed to asses the validity of the proposed approach.

Vision Sensors and Edge Detection

“…These regions are delimited by contours of constant density and are consistent with the GUM suggestions. This choice is supported by Iuculano et al (2003) who show for square and circular regions C (n) that the analytically derived coverage probabilities for Gaussian and uniform distributions are in agreement with ground truth data obtained from Monte Carlo simulations.…”

“…Analogous to the scalar case the expanded uncertainty represents a multidimensional interval. Based on an n-dimensional measurand Q ∈ S (n) , where S (n) denotes the n-dimensional space, Iuculano et al (2003) extend the concept of an coverage interval as defined in the GUM to a limited domain C (n) ∈ S (n) . Assuming the PDF of the measurand is denoted by f Q (·) the coverage probability associated with C (n) is given by…”

Bayesian Uncertainty Evaluation in Vision-Based Metrology

“…These regions are delimited by contours of constant density and are consistent with the GUM suggestions. This choice is supported by Iuculano et al (2003) who show for square and circular regions C (n) that the analytically derived coverage probabilities for…”

“…Analogous to the scalar case the expanded uncertainty represents a multidimensional interval. Based on an n-dimensional measurand Q ∈ S (n) , where S (n) denotes the n-dimensional space, Iuculano et al (2003) extend the concept of an coverage interval as defined in the GUM to a limited domain C…”