Numerical quantification of the results from a measurement uncertainty computation is considered in terms of the inputs to that computation. The primary output is often an approximation to the PDF (probability density function) for the univariate or multivariate measurand (the quantity intended to be measured). All results of interest can be derived from this PDF. We consider uncertainty elicit...

This paper presents an overview of various aspects of uncertainty quantification in prognostics and health management. Since prognostics deals with predicting the future behavior of engineering systems and it is almost practically impossible to precisely predict future events, it is necessary to account for the different sources of uncertainty that affect prognostics, and develop a systematic f...

Macroscopically heterogeneous materials, characterised mostly by comparable heterogeneity lengthscale and structural sizes, can no longer be modelled by deterministic approach instead. It is convenient to introduce stochastic approach with uncertain material parameters quantified as random fields and/or random variables. The present contribution is devoted to propagation of these uncertainties ...

A specific form of the Mellin transform, referred to as the “scale transform,” is known to be a natural complement to the Fourier transform for wideband analytic signals. In this paper, limitations for the simultaneous localization of scale transform pairs are investigated. A number of inequalities are established and discussed, based on various measures of spread (Heisenberg-type inequalities ...

Probability-boxes, numerical possibility theory and belief functions have been suggested as useful tools to represent imprecise, vague or incomplete information. They are particularly appropriate in environmental risk assessment where information is typically tainted with imprecision or incompleteness. Based on these notions, we present and compare four different methods to propagate objective ...

Background: Polymer gel dosimeters combined with magnetic resonance imaging (MRI) can be used for dose verification of advanced radiation therapy techniques. However, the uncertainty of dose map measured by gel dosimeter should be known. The purpose of this study is to investigate the uncertainty related to calibration curve and MRI protocol for MAGIC (Methacrylic and Ascorbic acid in Gelatin I...

objective: social phobia is considered as one of the most common anxiety disorders. the researchers have been looking for the basic mechanism behind it, since determining these factors can be influential in prevention and treatment. in recent years, some of the most important personality and cognitive correlates of social phobia including neuroticism, fear of negative evaluation, anxiety sensit...

objective:this study aimed to differentiate illness anxiety and generalized anxiety by the role of metacognition and intolerance of uncertainty. methods: this research was a descriptive-correlational study with an ex post facto design. the study population included all students of yazd university, and the study sample comprised 400 healthy adult university students (mean age=23.3 years, sd=4.9)...