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The red line indicates the analytical conditional expected value (Cond. EV), the blue line indicates the sampled conditional expected value (Cond. EV (MCMC)).
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Furthermore, for solving the proposed model, simulation is combined with analytical method (conditional Monte Carlo simulation method).
Fig. 6 Analytical comparison of conditional packet loss probability.
In this work, we develop analytical model for conditional packet loss probability, computation of busy time, and per-flow throughput prediction for all the flows in multi-hop wireless network.
All analyses were performed using Stata (version 11) (Statacorp, 2010), and our main analytical method was conditional logistic regression.
Analytical results for the conditional density function, given a non-negative lower boundary, are obtained for the extreme cases of certain cure and of certain relapse.
Moreover, an analytical expression for the conditional SER of the M2M-STNC scheme has been provided, while approximate and asymptotic upper-bound SER expressions for the M2M-STNC-ONS scheme have been derived and shown to coincide with the simulated results.
In order to validate the analytical characterization of the conditional ML estimator ( τ ̂ ML obtained in Section 3, we compare the approximate bias and RMSEs computed by means of the formulas in both sections with the results obtained from the direct simulation of the transmission system.
Standard deviations estimated by FITEQL account for the impact of analytical errors on fitted conditional equilibrium constants.
Figure 3 compares Monte Carlo simulations and analytical results for modulations with conditional SER including BPSK, BFSK, and 4 PAM as well as with QPSK and 16 QAM.
Particularly, the parametric method provides closed analytical formulae for determining the conditional Gaussian distributions in the high-dimensional subspace and is therefore computationally efficient and accurate.
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CEO of Professional Science Editing for Scientists @ prosciediting.com