Sentence examples for optimum estimates of from inspiring English sources
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).
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.
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).
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.
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.
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].
The quality of the optimum estimate is somewhat hard to assess objectively because the true location of the optimum is unknown and the measurements are subject to a substantial amount of noise.
In the time-varying scenarios of interest, the optimum estimate is assumed to vary according to the model ω 0(i+1)=β ω 0(i +q(i), where q(i) denotes a random perturbation [32] and β=1 in order to facilitate the analysis.
It is observed that the developed equations produced reasonable estimates of optimum isolator properties with a relatively consistent dispersion across the modeling parameters.
