Orthogonal polynomials in Stein's method
By Wim Schoutens. 2001
52 citations recorded by the source corpus.
Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics, Statistics and Probability
View Paper: https://www.semanticscholar.org/paper/509d813f43dea1e20d230c9aa3b6f55544eecda8
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Algebra and Number Theory
In Discrete Mathematics and Combinatorics
- Adrian Röllin
- Erol A. Peköz
- Gesine Reinert
- Yvik Swan
- Ivan Nourdin
- Christophe Ley
- Giovanni Peccati
- Robert E. Gaunt
In Statistics and Probability
- Gesine Reinert
- Giovanni Peccati
- Ivan Nourdin
- Christophe Ley
- Yvik Swan
- Adrian Röllin
- Robert E. Gaunt
- Erol A. Peköz
Citations in the corpus
- Stein's method for comparison of univariate distributions (2014, background): “See also [88] as well as [2] and related references for an extensive study of Stein operators for the Pearson (or Ord) family of distributions.”
- Distributional Transformations, Orthogonal Polynomials, and Stein Characterizations (2005, unknown): “ar X iv :m at h/ 05 10 24 0v 1 [ m at h. PR ] 1 2 O ct 2”
- Stein’s density approach and information inequalities (2012, background): “Corollary 2.1 extends the density approach from [38] or [10] [11] to a much wider class of distributions; it also contains the Stein characterizations for the Pearson given in [33] and the more recent general characterizations studied in [14] [17].”
- New rates for exponential approximation and the theorems of Rényi and Yaglom (2011, background): “ns in Ehm (1991), Pek¨oz (1996), Barbour, Chen, and Loh (1992a) and many other articles, results for continuous distributions besides the normal are far less developed. Diaconis and Zabell (1991) and Schoutens (2001) give theoretical material on general classes of probability distribution on the rea”
- Stein’s method on Wiener chaos (2007, result): “To conclude, we apply once again the results contained in [46], to infer that the relations P(W ≤ −ν) = 0 and E[2(W + ν) f ′(W )− W f (W )] = 0 imply that, necessarily, W + ν Law = F∗(ν).”