Chistyakov G, Götze F. Asymptotic expansions in the CLT in free probability. Probability Theory And Related Fields. 2013;157(1-2):107-156.We prove Edgeworth type expansions for distribution functions of sums of free random variables under minimal moment conditions. The proofs are based on the analytic definition of free convolution
The paper considers Edgeworth expansions for estimators of volatility. Unlike the usual expansions, ...
International audienceWe introduce a new, weak Cramer condition on the characteristic function of a ...
Götze F. EDGEWORTH EXPANSIONS IN FUNCTIONAL LIMIT-THEOREMS. ANNALS OF PROBABILITY. 1989;17(4):1602-1...
Abstract. We study asymptotic expansions in free probability. In classes of classical limit theorems...
Bobkov SG, Chistyakov GP, Götze F. RATE OF CONVERGENCE AND EDGEWORTH-TYPE EXPANSION IN THE ENTROPIC ...
Chistyakov G, Götze F. Limit theorems in free probability theory II. CENTRAL EUROPEAN JOURNAL OF MAT...
Abstract. Based on a new analytical approach to the definition of additive free convo-lution on prob...
In the paper, we discuss the transformation of the asymptotic expansion for the distribution of a st...
Let {Yn}n≥ 1 be a sequence of i.i.d. m-dimensional random vectors, and let f1,....., fk be rea...
Bloznelis M, Götze F. Edgeworth approximations for distributions of symmetric statistics. Probabilit...
We consider the asymptotic behavior of the convolution P n.pnA/ of a k-dimensional probability distr...
We discuss sufficient conditions that guarantee the existence of asymptotic expansions for the CLT f...
We derive the Edgeworth expansion to order n-1 of the cumulative distribution function of the studen...
Given a sequence X1,X2,…,Xn of m-dependent random variables with moments of order 3+α (0<α≦1), we gi...
Chistyakov G, Götze F. The arithmetic of distributions in free probability theory. Central European ...
The paper considers Edgeworth expansions for estimators of volatility. Unlike the usual expansions, ...
International audienceWe introduce a new, weak Cramer condition on the characteristic function of a ...
Götze F. EDGEWORTH EXPANSIONS IN FUNCTIONAL LIMIT-THEOREMS. ANNALS OF PROBABILITY. 1989;17(4):1602-1...
Abstract. We study asymptotic expansions in free probability. In classes of classical limit theorems...
Bobkov SG, Chistyakov GP, Götze F. RATE OF CONVERGENCE AND EDGEWORTH-TYPE EXPANSION IN THE ENTROPIC ...
Chistyakov G, Götze F. Limit theorems in free probability theory II. CENTRAL EUROPEAN JOURNAL OF MAT...
Abstract. Based on a new analytical approach to the definition of additive free convo-lution on prob...
In the paper, we discuss the transformation of the asymptotic expansion for the distribution of a st...
Let {Yn}n≥ 1 be a sequence of i.i.d. m-dimensional random vectors, and let f1,....., fk be rea...
Bloznelis M, Götze F. Edgeworth approximations for distributions of symmetric statistics. Probabilit...
We consider the asymptotic behavior of the convolution P n.pnA/ of a k-dimensional probability distr...
We discuss sufficient conditions that guarantee the existence of asymptotic expansions for the CLT f...
We derive the Edgeworth expansion to order n-1 of the cumulative distribution function of the studen...
Given a sequence X1,X2,…,Xn of m-dependent random variables with moments of order 3+α (0<α≦1), we gi...
Chistyakov G, Götze F. The arithmetic of distributions in free probability theory. Central European ...
The paper considers Edgeworth expansions for estimators of volatility. Unlike the usual expansions, ...
International audienceWe introduce a new, weak Cramer condition on the characteristic function of a ...
Götze F. EDGEWORTH EXPANSIONS IN FUNCTIONAL LIMIT-THEOREMS. ANNALS OF PROBABILITY. 1989;17(4):1602-1...