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An Approximate Approach to E-optimal Designs for Weighted Polynomial Regression by Using Tchebycheff Systems and Orthogonal Polynomials
An Approximate Approach E-optimal Designs Weighted Polynomial Regression Using Tchebycheff Systems Orthogonal Polynomials
2013/4/28
In statistics, experimental designs are methods for making efficient experiments. E-optimal designs are the multisets of experimental conditions which minimize the maximum axis of the confidence ellip...
Testing composite hypotheses, Hermite polynomials and optimal estimation of a nonsmooth functional
Best polynomial approximation ℓ 1 norm composite hypothe-ses Hermite polynomial minimax lower bound nonsmooth functional optimal rate of convergence
2011/6/17
A general lower bound is developed for the minimax risk when
estimating an arbitrary functional. The bound is based on testing
two composite hypotheses and is shown to be effective in estimating
th...
Analysis of 24-Hour Ambulatory Blood Pressure Monitoring Data using Orthonormal Polynomials in the Linear Mixed Model
Cubic Spline DASH Study Graphical Display
2010/10/19
The use of 24-hour ambulatory blood pressure monitoring (ABPM) in clinical practice and observational epidemiological studies has grown considerably in the past 25 years. ABPM is a very effective tech...
In this work it is propose an alterative proof of one of basic properties of the zonal polynomials. This identity is generalised for the Jack polynomials.