On algebraic Stein operators for Gaussian polynomials-Reference-Cited by-同舟云学术

On algebraic Stein operators for Gaussian polynomials

Published:2023-02-01 Issue:1 Volume:29 Page:
ISSN:1350-7265
Container-title:Bernoulli
language:
Short-container-title:Bernoulli

Author:

Azmoodeh Ehsan¹,Gasbarra Dario²,Gaunt Robert E.³

Affiliation:

1. Department of Mathematical Sciences, Mathematical Sciences Bldg, The University of Liverpool, Liverpool L69 7ZL, UK

2. Department of Mathematics and Statistics, University of Helsinki, P.O.Box 68 00014, Finland

3. Department of Mathematics, The University of Manchester, Oxford Road, Manchester M13 9PL, UK

Publisher

Bernoulli Society for Mathematical Statistics and Probability

Subject

Statistics and Probability

Reference62 articles.

1. Barbour, A.D. (1990). Stein’s method for diffusion approximations. Probab. Theory Related Fields 84 297–322. 10.1007/BF01197887

2. Chen, L.H.Y., Goldstein, L. and Shao, Q.-M. (2011). Normal Approximation by Stein’s Method. Probability and Its Applications (New York). Heidelberg: Springer. 10.1007/978-3-642-15007-4

3. Nourdin, I. and Peccati, G. (2009). Stein’s method on Wiener chaos. Probab. Theory Related Fields 145 75–118. 10.1007/s00440-008-0162-x

4. Ley, C., Reinert, G. and Swan, Y. (2017). Stein’s method for comparison of univariate distributions. Probab. Surv. 14 1–52. 10.1214/16-PS278

5. Stein, C. (1972). A bound for the error in the normal approximation to the distribution of a sum of dependent random variables. In Proceedings of the Sixth Berkeley Symposium on Mathematical Statistics and Probability (Univ. California, Berkeley, Calif., 1970/1971), Vol. II: Probability Theory 583–602.

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