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The problem of the calculation of the frequency of diagnostic examinations based on device’s proper operation time

100%

Rudnicki J.

tom Vol. 10, no 1

139--147

The paper presents the proposal to apply the normal distribution to solve the problemof the frequency of diagnostic tests. Particular emphasis is placed on simplicity of the method. This method may be useful for the average user technical system. The method reduces the number of assumptions to a minimum. The results do not raise of serious doubts but they require verification of course.

On Besov regularity of Brownian motions in infinite dimensions

88%

Hytönen T. P. , Veraar M. C.

tom Vol. 28, Fasc. 1

143--162

We extend to the vector-valued situation some earlier work of Ciesielski and Roynette on the Besov regularity of the paths of the classical Brownian motion.We also consider a Brownian motion as a Besov space valued random variable. It turns out that a Brownian motion, in this interpretation, is a Gaussian random variable with some pathological properties. We prove estimates for the first moment of the Besov norm of a Brownian motion. To obtain such results we estimate expressions of the form E supn1‖ξn‖, where ξn are independent centered Gaussian random variables with values in a Banach space. Using isoperimetric inequalities we obtain two-sided inequalities in terms of the first moments and the weak variances of ξn.

Comparative study to assess reliability in the presence of two geometric defect shapes for non-destructive testing

75%

Oudni Z. , Berkache A. , Mehaddene H. , Mohellebi H. , Lee J.

tom R. 95, nr 12

48--52

This study aims at evaluating the reliability for non-destructive eddy currents control. Two geometrical forms of the defect are generated whose dimensions and the electrical conductivity of the studied material are random variables of Gaussian type. The model SSFEM constructs allows the treatment and the post-treatment of the problem posed in a single step. the results of the impedance variation are compared with those of the Monte Carlo simulation and the experimental measurements. The state of reliability is quantified for the two forms of the defect.

Analizowana jest wiarygodność detekcji metodą prądów wirowych. Badana jest obecność dwóch różnych defektów których kształt jest przypadkowy. Wykorzystywano model SSFEM. Metodę porównano z rezultatami przy wykorzystaniu metody |Monte Carlo oraz z eksperymentem.