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Polynomial regression under arbitrary product distributions

✍ Scribed by Eric Blais; Ryan O’Donnell; Karl Wimmer


Book ID
106453254
Publisher
Springer
Year
2010
Tongue
English
Weight
628 KB
Volume
80
Category
Article
ISSN
0885-6125

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We consider pairs of random variables X; Y with the property that regressions E(X n |Y ); E(Y n |X ) are polynomial. We show that the leading terms of these polynomials and the marginal distributions determine uniquely the bivariate distribution.