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On estimating approximate degrees of freedom of chi-squared approximations

Communications in Statistics - Simulation and Computation, 1994
In statistical applications involving linear models, many inferences can only be made based on statistics that are functions of positive linear combinations of mean squares. The Satterthwaite procedure is commonly used to approximate the distribution of such a linear combination to a chi-squared with appropriate degrees of freedom.
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Degree of approximation theorems for approximation with side conditions

1977
This thesis is a study of the degree of uniform linear approximation with side conditions. The side conditions considered fall into four categories namely: Lagrange interpolatory side conditions imposed on approximation from finite dimensional subspaces of C(T) ,T compact Hausdorff; Hermite-Birkhoff interpolatory side conditions imposed on ...
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On the Degree of Approximation in Multivariate Weighted Approximation

2002
Let s ≥ 1 be an integer, f ∈ L P (R s ) for some p, 1 ≤ p ∞ or be a continuous function on R S vanishing at infinity. We consider the degree of approxima-tion of f by expressions of the form exp \( ( - {\text{ }}\sum\limits_{k = 1}^s {{Q_k}\left( {{x_k}} \right)} )P\left( {{x_1},...,{x_s}} \right) \) where each exp(—Q k (·)) is a Freud type weight ...
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Optimal Degree of Approximation by Splines

1977
A description of spline — or piecewise polynomial functions — involves three characteristics: the nature of their pieces, their location and the smoothness at the connections.
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Tailoring the 3d-orbital electron filling degree of metal center to boost alkaline hydrogen evolution electrocatalysis

Applied Catalysis B: Environmental, 2021
Peng Li, Shuangfeng Jia, Shengli Chen
exaly  

Patient navigation: An update on the state of the science

Ca-A Cancer Journal for Clinicians, 2011
Kristen J Wells
exaly  

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