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In the recent years, methodologies have been developed that allow the direct determination of maximum spectral accelerations for specified values of the period of a single-degree-of-freedom system and for a given probability of exceedance.
The use of this kind of biosensor, which has a detection capability of 60 μmol L−1 for a given probability of false positive and negative equal to 0.05, has been probed in the determination of FA in commercial samples for histology.
For a given probability of detection at the FC, we have P d ( u 2 i, u 3 i ) = β.
For a given probability of false alarm at the FC, we have P f u 2 i, u 3 i = α.
In watermark detection, the goal is to determine whether a specific watermark exists or not, and the detection criteria are mainly based on Neyman-Pearson Theorem (i.e., maximizing the probability of detection for a given probability of false alarm).
For the fault-free case the test threshold T h for a given probability of false alarm (P f a ) and redundancy (or equivalently, degrees of freedom) is found by inverting the incomplete gamma function [21].
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BRBs are designed in terms of ductility and strength based on two parameters: the design storey drift Δud, i.e. the maximum accepted storey drift demand for earthquakes with a given probability of occurrence, and the behaviour factor q, which is a seismic force reduction factor correlated with the expected ductility of the structure.
These results are also presented in a unique graphical form showing the statistical distribution to highlight the impact of control for a suite of ground motions with a given probability of occurrence.
Therefore, for a the given probability of false alarm, we are able to determine the threshold.
In this paper we present an application of a new method of constructing fuzzy estimators for the parameters of a given probability distribution function, using statistical data.
We need to consider the number of sequences required to correct an erroneous position appropriate, at a given probability, for an error rate of 1.07%.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com