Orthogonal polynomials for seminonparametric instrumental variables model
نویسندگان
چکیده
منابع مشابه
Monomial orthogonal polynomials of several variables
A monomial orthogonal polynomial of several variables is of the form x−Qα(x) for a multiindex α ∈ N 0 and it has the least L2 norm among all polynomials of the form xα − P (x), where P and Qα are polynomials of degree less than the total degree of xα. We study monomial orthogonal polynomials with respect to the weight function ∏d+1 i=1 |xi| 2κi on the unit sphere Sd as well as for the related w...
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Let V be a set of points in R. Define a linear functional L on the space of polynomials, Lf = ∑ x∈V f(x)ρ(x), where ρ is a nonzero function on V . The structure of discrete orthogonal polynomials of several variables with respect to the bilinear form 〈f, g〉 = L(fg) is studied. For a given V , the subspace of polynomials that will generate orthogonal polynomials on V is identified. One result sh...
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ژورنال
عنوان ژورنال: ESAIM: Probability and Statistics
سال: 2015
ISSN: 1292-8100,1262-3318
DOI: 10.1051/ps/2014025