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Exact(48)
The estimation error is given by.
The average probability of error is given by (A2).
The probability of error is given by, (47).
And the relative error is given by (34).
As shown in Figure 1, the a priori error is given by (4).
Therefore, the probability of the packet error is given by (25).
Similar(12)
The optimum filters and minimizing the mean square error are given by [16, 18] (4).
Then the output was computed by the application of the sigmoid activation function as O_{j} (x,w) = frac{1}{{1 + e^{{A_{j} (x,w)}} }} (3) The system error was given by E x,w,d) = sumlimits_{j} {left( {O_{j} left( {x,w} right)d_{j} } right)^{2} } (4 where (d_{j, })= actual output.
For any given k, after applying ConReg-R, the estimation of and its variation (error) are given by (11) and (12) where MAD denotes the median absolute deviation.
Thus in scenarios where ϵA = ϵB = 0.999 and therefore β = 0, the type I error was given by the proportion of dataset among the 500 simulated that led to reject H0.
The asymptotic bias, which has a very similar interpretation as "attenuation bias" in the presence of measurement errors, is given by the following expression: p lim ρ ^ = ρ σ yf 2 / σ yf 2 + σ νf 2 < ρ, (1).
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