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Stein operators are differential operators which arise within the so-called Stein's method for stochastic approximation.
A bound for the error in the normal approximation to the distribution of a sum of dependent random variables
C. Stein · 1972
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A natural identity for exponential families with applications in multiparameter estimation
H. M. Hudson · 1978
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An inequality for multivariate normal distribution
L. H. Y. Chen · 1980
Earlier work this paper cites.
The identification of an element of a large population in the presence of noise
H. Chernoff · 1980
Earlier work this paper cites.
A note on an inequality involving the normal distribution
H. Chernoff · 1981
Earlier work this paper cites.
On upper and lower bounds for the variance of a function of a random variable
T. Cacoullos · 1982
Earlier work this paper cites.
Improving upon standard estimators in discrete exponential families with applications to poisson and negative binomial cases
J. T. Hwang · 1982
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On an inequality and a related characterization of the normal distribution
A. Borovkov and S. Utev · 1984
Earlier work this paper cites.
On an inequality of Chernoff
C. A. J. Klaassen · 1985
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Approximate computation of expectations
C. Stein · 1986
Earlier work this paper cites.
Stein’s method for diffusion approximations
A. D. Barbour · 1990
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On the rate of convergence in the multivariate clt
F. Götze · 1991
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Poisson approximation
A. D. Barbour, L. Holst, and S. Janson · 1992
Earlier work this paper cites.
Variational inequalities with examples and an application to the central limit theorem
T. Cacoullos, V. Papathanasiou, and S. A. Utev · 1994
Cited alongside, same era.
Stein’s method for the gamma distribution and related statistical applications
H. M. Luk · 1994
Cited alongside, same era.
A generalization of covariance identity and related characterizations
T. Cacoullos and V. Papathanasiou · 1995
Cited alongside, same era.
Variance inequalities for functions of Gaussian variables
C. Houdré and A. Kagan · 1995
Cited alongside, same era.
Theory of point estimation
E. L. Lehmann and G. Casella · 1998
Cited alongside, same era.
Sur les inégalités de Sobolev logarithmiques
C. Ané, S. Blachère, D. Chafaï, P. Fougères, I. Gentil, F. Malrieu, C. Roberto, and G. Scheffer · 2000
Cited alongside, same era.
Sinh-arcsinh distributions
M. C. Jones and A. Pewsey · 2009
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Stein’s method on Wiener chaos
I. Nourdin and G. Peccati · 2009
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Multivariate skewing mechanisms: a unified perspective based on the transformation approach
C. Ley and D. Paindaveine · 2010
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An extended Stein-type covariance identity for the Pearson family with applications to lower variance bounds
G. Afendras, N. Papadatos, and V. Papathanasiou · 2011
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Exponential approximation by exchangeable pairs and spectral graph theory
S. Chatterjee, J. Fulman, and A. Roellin · 2011
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Normal approximation by Stein’s method
L. H. Y. Chen, L. Goldstein, and Q.-M. Shao · 2011
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Unified variance bounds and a stein-type identity
N. Papadatos and V. Papathanasiou · 2001
Cited alongside, same era.
Stein’s method for birth and death chains
S. Holmes · 2004
Cited alongside, same era.
Rates of convergence of χ 2 \chi^{2} approximations via Stein’s method
A. Picket · 2004
Cited alongside, same era.
Three general approaches to stein’s method
G. Reinert · 2004
Cited alongside, same era.
Use of exchangeable pairs in the analysis of simulations
C. Stein, P. Diaconis, S. Holmes, and G. Reinert · 2004
Cited alongside, same era.
An introduction to Stein’s method
A. D. Barbour and L. H. Y. Chen · 2005
Cited alongside, same era.
New rates for exponential approximation and the theorems of rényi and yaglom
E. Peköz and A. Roellin · 2011
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C. Döbler · 2012
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Stein’s method and the beta distribution
L. Goldstein and G. Reinert · 2012
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Stein’s density approach for discrete distributions with applications to information inequalities
C. Ley and Y. Swan · 2012
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Normal approximations with Malliavin calculus : from Stein’s method to universality
I. Nourdin and G. Peccati · 2012
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Degree asymptotics with rates for preferential attachment random graphs
E. Peköz, A. Roellin, and N. Ross · 2012
Later among the works it cites.
Stein’s density approach and information inequalities
C. Ley and Y. Swan · 2013
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