Exact(12)
An empirical efficiency equation is used to evaluate the behavior of temperature and composition profiles in a distillation column.
The proposed model will serve as an alternative to constant engine efficiencies or empirical efficiency curves commonly used in the current literature for simulations of CHP systems.
On the other hand, in practice, state-of-the-art methods are based on different approaches, and the empirical efficiency of such theoretical algorithms has seldom been investigated probably because they are seemingly inefficient because of the plethora of complex reduction rules.
It has empirical efficiency of 785% relative to the mle for β and 1310% for θ.
The F test has 0.5966 level of significance to the empirical efficiency, ηE.
The expression for theoretical efficiency, ηT is also applicable to experimental efficiency (ηP), empirical efficiency (ηE), and simulated efficiency for oceanic wave (ηc).
Similar(48)
Note that the most efficient estimator for both β and θ is the rank-based estimator with α=5; although, empirical efficiencies are not significantly different from the empirical efficiencies for a few of the nearby (α close to 5) rank-based estimators.
Table 8 Empirical efficiencies and confidence coefficients for Situation III (error distributions are symmetrically contaminated skew-normals) AdSch Optrv LS Wil mle β, ARE 3.67 1.01 0.26 6.16 1.00 β, Conf 0.94 0.97 0.95 0.97 0.95 θ, ARE 4.77 0.85 0.35 8.18 1.00 θ, Conf 0.94 0.97 0.95 0.97 0.98 Empirical efficiencies are MSE's relative to the MSE of the mles.
Table 7 Empirical efficiencies and confidence coefficients for Situation II (error distributions are skewed contaminated skew-normals) AdSch Optrv LS Wil mle β, ARE 3.58 1.86 0.92 7.27 1.00 β, Conf 0.97 0.97 0.95 0.95 0.94 θ, ARE 3.56 1.56 0.94 7.36 1.00 θ, Conf 0.97 0.96 0.95 0.95 0.95 Empirical efficiencies are MSE's relative to the MSE of the mles.
The efficiency was compared with a glass micro fiber filter and proposed semi-empirical efficiency model, which was in good accuracy while considering the vapor content.
A heat release function and an empirical conversion efficiency factor are introduced to solve the model.
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