Asymptotic expansions in the CLT in free probability

Author:

Chistyakov G. P.,Götze F.

Publisher

Springer Science and Business Media LLC

Subject

Statistics, Probability and Uncertainty,Statistics and Probability,Analysis

Reference48 articles.

1. Akhiezer, N.I.: The Classical Moment Problem and Some Related Questions in Analysis. Hafner, New York (1965)

2. Akhiezer, N.I., Glazman, I.M.: Theory of Linear Operators in Hilbert Space. Ungar, New York (1963)

3. Anshelevich, M.: Free martingale polynomials. J. Funct. Anal. 201, 228–261 (2003)

4. Barron, A.R.: Entropy and the central limit theorem. Ann. Probab. 14, 336–342 (1986)

5. Belinschi, S.T., Bercovici, H.: Atoms and regularity for measures in a partially defined free convolution semigroup. Math. Z. 248, 665–674 (2004)

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