A Model to Determinate the Influence of Probability Density Functions (PDFs) of Input Quantities in Measurements

Abstract

A method for analysing the effect of different hypotheses about the type of the input quantities distributions of a measurement model is presented here so that the developed algorithms can be simplified. As an example, a model of indirect measurements with optical coordinate measurement machine was employed to evaluate these different hypotheses. As a result of the different experiments, the assumption that the different variables of the model can be modelled as normal distributions is proved.

Reliability analysis for high-lift device based on Copula function and Bayesian updating

“…According to equation (20), the performance function g(n 0 , E 1 , G 1 , s, W 0 ) changes when the running times of the high-lift device change. This is essentially a timedependent reliability problem.…”

“…The application of Copula function theory is first seen in the data analysis of the financial finance field, 18 and there have also been research achievements about the hydrology and the civil engineering reliability in recent years. [12][13][14]17,[19][20][21] However, the research results in the field of mechanism reliability are rarely published. For the correlated random variables, the Copula function is introduced to construct the prior joint distribution and the likelihood function before Bayesian updating of the aircraft lift device.…”