4 pages matching priori estimate in this book
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accuracy actual second-moment matrix Ae is positive algorithm analytic inside approach zero assume best approximation biased minimum-variance Cheby Chebyshev coefficients Chebyshev polynomial expansion Chebyshev polynomial series Chebyshev series expansion complex plane Compression Using Polynomial conjugate complex values continuous function Convergence of Chebyshev convergence properties Corollary covariance matrix curve fitting Data by Data data compression diagonal matrix discussed Elliott Ref Enhancement of Data entire function equation error estimate of q fact finite number formula func Gaussian quadrature given by Eq inequality inside an ellipse interval 0,1 largest eigenvalue linear esti linearly independent Lipschitz condition matrix are linearly method minimum-variance estimate minimum-variance unbiased estimate noise number of terms observations obtained pn(x poles polynomial fitting polynomial of best polynomial of finite positive definite matrix positive semidefinite priori estimate priori information semiaxes singular point lying theory of functions tions uniformly convergent usual F test usual minimum-variance variance of q