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For Δ h f, it is more difficult to determine its variance since it consists of the unknown data decision errors and the impact of the multipath channel.
The identification criterion is to minimize the least squares error (12) by optimization over the parameter vector a, that consists of the unknown parameters in (5).
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Each analytical run, which was blinded to the analyst, consisted of the unknown serum samples, a method blank (quality control), an ongoing precision and recovery sample (quality control), two solvent blanks, and two calibration standard solutions.
The inverse problem consists of determining the unknown coefficient f= f(T2),T2:="|∇u|2 in the nonlinear equation ut−∇.(f(T2)∇u)= 2t,(x,y,t)∈ΩT:="Ω× 0,T),Ω⊂R2, by measured output data (or additional data) given in the integral form.
In this case, we resort to the GLRT ([30], Chap. 7) method, which consists of replacing the unknown parameters in the LLR by their maximum likelihood estimates.
The inverse problem here consists of identifying the unknown coefficient g ξ2) (plasticity function) in the non-linear differential equation of torsional creep −(g(|∇u|2)ux1)x1−(g(|∇u|2)ux∈Ω⊂R2"2ϕ, x∈Ω⊂R2, from the torque (or torsional rigidity) T, given experimentally.
The first approach consists of using the unknown (kinetic) parameters as extra design parameters in order to guarantee zero steady-state observation error of the estimated process variables.
The optimization task consists of finding the unknown parameters w i, i = 1, …, N and w0 that define the decision hyperplane.
To design a practical test, a usual solution consists of replacing the unknown parameter by its ML estimation.
The vector of unknown parameter values consists of the elements.
The genotype of individual i, G i, consists of two unknown haplotypes: the haplotype that the individual received from its mother, H im, and the haplotype that it received from its father, H if. The pair of haplotypes that the individual carries is one of the 22 L possible haplotype pairs.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com