Chistyakov G, Götze F. Moderate deviations for student's statistic. THEORY OF PROBABILITY AND ITS APPLICATIONS. 2002;47(3):415-428.For self-normalized sums, say S-n/V-n, under symmetry conditions we consider Linnik-type zones, where the ratio P{S-n/V-n greater than or equal to x}/1 - Phi(x)) converges to 1, and establish optimal bounds for remainder terms related to this convergence
Let {X,Xn;n ∈ Zd} be a sequence of i.i.d. real-valued random variables, and Sn k≤n Xk, n ∈ Zd . Con...
This thesis consists of a summary and five papers, dealing with self-normalized sums of independent,...
Let be i.i.d. -valued random variables. We prove partial moderate deviation principles for self-norm...
Chistyakov G, Götze F. On bounds for moderate deviations for student's statistic. THEORY OF PROBABIL...
Let {X, X-i, i >= 1} be i.i.d. random variables, S-k be the partial sum and V-n(2) = Sigma(n)(i=1) X...
Cramér type moderate deviation theorems quantify the accuracy of the relative error of the normal ap...
Let X-1, X-2,... be independent random variables with zero means and finite variances, and let S-n =...
Let X-1,X-2, ... be a sequence of independent random variables (r.v.s) belonging to the domain of at...
AbstractLet {Y,Yi;i≥1} be a sequence of nondegenerate, independent and identically distributed rando...
In this paper, we use the framework of mod-$\phi$ convergence to prove precise large or moderate dev...
We study Davis ’ series of moderate deviations probabilities for Lp-bounded sequences of random vari...
Let X, Xn, n≥1 be a sequence of iid real random variables, and Sn=∑k=1nXk, n≥1. Convergence rates of...
AbstractLet {Xn,n⩾1} be i.i.d. Rd-valued random variables. We prove partial moderate deviation princ...
In diesem Artikel werden notwendige und hinreichende Bedingungen für die Gültigkeit von Grenzwertsät...
National audienceWe prove, for martingales self-normalized by their increasing process, the upper bo...
Let {X,Xn;n ∈ Zd} be a sequence of i.i.d. real-valued random variables, and Sn k≤n Xk, n ∈ Zd . Con...
This thesis consists of a summary and five papers, dealing with self-normalized sums of independent,...
Let be i.i.d. -valued random variables. We prove partial moderate deviation principles for self-norm...
Chistyakov G, Götze F. On bounds for moderate deviations for student's statistic. THEORY OF PROBABIL...
Let {X, X-i, i >= 1} be i.i.d. random variables, S-k be the partial sum and V-n(2) = Sigma(n)(i=1) X...
Cramér type moderate deviation theorems quantify the accuracy of the relative error of the normal ap...
Let X-1, X-2,... be independent random variables with zero means and finite variances, and let S-n =...
Let X-1,X-2, ... be a sequence of independent random variables (r.v.s) belonging to the domain of at...
AbstractLet {Y,Yi;i≥1} be a sequence of nondegenerate, independent and identically distributed rando...
In this paper, we use the framework of mod-$\phi$ convergence to prove precise large or moderate dev...
We study Davis ’ series of moderate deviations probabilities for Lp-bounded sequences of random vari...
Let X, Xn, n≥1 be a sequence of iid real random variables, and Sn=∑k=1nXk, n≥1. Convergence rates of...
AbstractLet {Xn,n⩾1} be i.i.d. Rd-valued random variables. We prove partial moderate deviation princ...
In diesem Artikel werden notwendige und hinreichende Bedingungen für die Gültigkeit von Grenzwertsät...
National audienceWe prove, for martingales self-normalized by their increasing process, the upper bo...
Let {X,Xn;n ∈ Zd} be a sequence of i.i.d. real-valued random variables, and Sn k≤n Xk, n ∈ Zd . Con...
This thesis consists of a summary and five papers, dealing with self-normalized sums of independent,...
Let be i.i.d. -valued random variables. We prove partial moderate deviation principles for self-norm...
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