Exact(3)
Optimum estimates of initial porewater chemistry of saturated compacted FEBEX bentonite are obtained by solving the inverse problem of multicomponent reactive transport.
The prediction can be combined with the observations (vec {z}(t_{i})) to find the optimum estimates of the parameters at t i, (vec {x}(t_{i})), and the corresponding variance-covariance matrix P(t i ): begin{array}rcl@ vec{x}(t_{i})&=&vec{x}_{p}(t_{i})+K(t_{i})left[z(t_{i} -H(t_{i} -Hec{x}_{p}(t_{i})right] end{array} (5).
It is especially necessary to prevent, as much as possible, the CEM algorithm from finding local optimum estimates because the log-likelihood has a complex expression with multiple optima.
Similar(57)
Several ratio and exponentiation type estimators that provide the optimum estimate of a quantile based on an optimum exponent α are proposed.
This probability contains all the required information to compute an optimum estimate of the object trajectories at each time step.
While the same values for a membrane-based CO2 capture system are 0.940, 0.865 and 3.722 for the optimum estimated flowsheet.
To find an optimum estimate of α, an minimum mean square error (MMSE) approach is pursued that can be expressed as α ̂ MMSE = ∑ S p ( S | r ) E [ α | r,S ] (7).
It was shown in [13] that the classical maximum likelihood principle can be considered to be a method of asymptotic realization of an optimum estimate with respect to a very general information theoretic criterion [13].
where Ψ S is the sub-matrix formed by the columns ψ s : s∈S indexed by the support S. The task is to obtain the optimum estimate of α given the observation r.
This visualization helps us envision the landscape of an n-D searching space, so that it is easier for us to join an EC search by indicating the possible global optimum estimated in the 2-D mapped space.
The minimization of J can provide the optimum estimate of the interferometric phase φ i, i.e., ϕ ^ i = φ i. Remark 3: The computational burden will be high if the minimization of J is obtained via search of φ i in the principal phase interval.
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