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The normal deviate mapping (or normal quantile function, or inverse normal cumulative distribution) is given by the probit function, so that the horizontal axis is x = probit(P fa) and the vertical is y = probit(P fr), where P fa and P fr are the false-accept and false-reject rates.
However, in most fielded systems, unwanted clutter and interference sources mean that the noise level changes both spatially and temporally. In this case, a changing threshold can be used, where the threshold level is raised and lowered to maintain a constant probability of false alarm. This is known as constant false alarm rate (CFAR) detection.
The False Discovery Rate - Yoav Benjamini, Ruth Heller & Daniel Yekutieli - Rousseeuw Prize for Statistics ceremony lecture from 2024. False Discovery Rate: Corrected & Adjusted P-values - MATLAB/GNU Octave implementation and discussion on the difference between corrected and adjusted FDR p-values. Understanding False Discovery Rate - blog post
When the quality of the output is satisfactory the A.R.L. is a measure of the expense incurred by the scheme when it gives false alarms, i.e., Type I errors (Neyman & Pearson, 1936 [4]). On the other hand, for constant poor quality the A.R.L. measures the delay and thus the amount of scrap produced before the rectifying action is taken, i.e ...
The true-positive rate is also known as sensitivity or probability of detection. [1] The false-positive rate is also known as the probability of false alarm [1] and equals (1 − specificity). The ROC is also known as a relative operating characteristic curve, because it is a comparison of two operating characteristics (TPR and FPR) as the ...
As a result, the false positive rate for duplicate detection is the same as the false positive rate of the used bloom filter. The process of filtering out the most 'unique' elements can also be repeated multiple times by changing the hash function in each filtering step.
The U.S. Department of Defense will consider granting honorable discharges to more than 30,000 gay and bisexual veterans who were barred from serving in the military because of their sexual ...
Mathematical analysis of this division-like process reveals how to select a divisor that guarantees good error-detection properties. In this analysis, the digits of the bit strings are taken as the coefficients of a polynomial in some variable x—coefficients that are elements of the finite field GF(2) (the integers modulo 2, i.e. either a ...