In Section 3, we carry out an approximate analysis of the bias and the MSE attained by the ML estimator of the ToA under imperfect PLE.
Δ SSD AP - CSSBN : the difference between the SSDs obtained by the approximate analysis [ 20] and the context-sensitive stochastic Boolean network (CSSBN) approach.
As shown in Table 7, the CSSBN time-frame expansion technique efficiently evaluates the SSD of the glioma network and produces results comparable to those obtained by the approximate analysis [ 20].
Since it is difficult, if not impossible, to compute the STM or SSD of a large GRN by using an accurate or approximate analysis, the CSSBN time-frame expansion approach provides an alternative means to accurately and efficiently estimate the SSD of a large network with a tunable accuracy by using stochastic sequences of different lengths.
With an imperfect PLE (γ≠γ0), we can approximate the RMSE by using the approximate analysis of the random MSE ε2 obtained in Section 4.2.
It is shown by means of approximate analysis that in the case of simple idealised coupled oscillator models a practically useful mitigating effect on the overall non-linear response of the system is observed when one of the cubic stiffnesses is varied.
First, we investigate TWOR-AFNC-Nodir systems by employing the approximate analysis in high SNR, and obtain closed-form solutions to the cumulative distribution function (CDF) and the probability density function (PDF) of the instantaneous end-to-end signal-to-noise ratio (SNR) with very simple expressions.
We used these data to explore and co-estimate an extensive range of historical and demographic parameters with a statistical framework that combines the evaluation of multiple models of human evolution via a best-fit approach, followed by an Approximate Bayesian Computation (ABC) analysis.
After the exact coverage analysis, a less complex approximate analysis is also presented.
Furthermore, 30 independent experiments were conducted to estimate missing values in 30 RCBD tables by GA, PSO, ANN, exact regression and approximate analysis methods.
