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Their approach, named SNPSeeker, is based on large deviation theory.
The previous work of the authors has established a good framework to understand the metastability based on large deviation theory for Markov processes [ 15, 33].
Once the optimal kernel width has been selected and the MI matrix has been computed, the next step is to find an appropriate threshold of MI, I 0. Based on large deviation theory used by ARACNE algorithm [ 30], the probability that an empirical value of mutual information I is greater than I 0, provided that its true value is I ¯ = 0, is (8) P I > I 0 I ¯ = 0 ~ e − cN I 0 where, c is a constant.
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Raw scores on all tests were converted to age standardised scores (mean 100, standard deviation 15), using procedures in the published statistical manuals for each test – that are based on large samples.
Moreover, an analytical framework based on the large deviation principle is established to investigatethe scale effect in this paper, while [20] does not provide such a framework.
We derived an analytical formula based on the large deviation principle invoked for estimating the overflow probability as a function of the buffer variance.
In [34], Barlett proposed the use of the K-S test which is based on the largest deviation in absolute value between the cumulative spectrum and the theoretical straight line.
Specifically, based on the large-deviation theory and premise that the steady-state queue length exists, the probability of the queue length Q t) exceeding a certain threshold x decays exponentially fast as x increases [30], shown as begin{array}rcl@ - limlimits_{xrightarrow infty}frac{ln left text{Pr}left{Q infty geq xright}right)}{x} = theta.
Another power calculation executed after ending the study, based on the large standard deviations and the number of GPs, showed that this resulted in a power of 40%.
Our technique is based on stochastic calculus, large deviations, and elements from free probability.
The standard deviation statistics was calculated using the Global Error Model based on deviation from one (GeneSpring, Silicon Genetics).
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