Bentkus V, Bloznelis M, Götze F. A Berry-Esseen bound for student's statistic in the non-iid case. JOURNAL OF THEORETICAL PROBABILITY. 1996;9(3):765-796.We establish a Berry-Esseen bound for Student's statistic for independent (nonidentically) distributed random variables. In particular, the bound implies a sharp estimate similar to the classical Berry-Esseen bound. In the i.i.d. case it yields sufficient conditions for the Central Limit Theorem for studentized sums. For non-i.i.d. random variables the bound shows that the Lindeberg condition is sufficient for the Central Limit Theorem for studentized sums
In this paper we shall derive Exponential nonuniform Berry-Esseen bounds in the central limit theore...
Stein's method is a powerful tool for proving central limit theorems along with explicit error bound...
Contains fulltext : 18830.pdf (publisher's version ) (Open Access)127 p
© 2017 Elsevier Ltd. All rights reserved. New Berry-Esseen-type bounds, with explicit constant facto...
We derive Berry-Esseen bounds for a class of Studentized statistics. The results are applied to Stud...
Bentkus V, Götze F. The Berry-Esseen bound for student's statistic. ANNALS OF PROBABILITY. 1996;24(1...
The Stein's method, originally introduced by Stein (1972), gives us a novel wayto investigate normal...
Let (Xn) be a sequence of independent random variables and N a positive integral-valued random varia...
International audienceAs an extension of a central limit theorem established by Svante Janson, we pr...
International audienceAs an extension of a central limit theorem established by Svante Janson, we pr...
Let (Xn) be a sequence of independent identically distributed ran-dom variables with zero means and ...
We evaluate the accuracy of normal approximation for the distributions of some nonlinear functionals...
© 2017 Elsevier Ltd. All rights reserved. Due to the effort of a number of authors, the value cu of ...
Bentkus V, Götze F, Tikhomirov A. Berry-Esseen bounds for statistics of weakly dependent samples. BE...
In 2001, Chen and Shao gave the nonuniform estimation of the rate of convergence in Berry-Esseen the...
In this paper we shall derive Exponential nonuniform Berry-Esseen bounds in the central limit theore...
Stein's method is a powerful tool for proving central limit theorems along with explicit error bound...
Contains fulltext : 18830.pdf (publisher's version ) (Open Access)127 p
© 2017 Elsevier Ltd. All rights reserved. New Berry-Esseen-type bounds, with explicit constant facto...
We derive Berry-Esseen bounds for a class of Studentized statistics. The results are applied to Stud...
Bentkus V, Götze F. The Berry-Esseen bound for student's statistic. ANNALS OF PROBABILITY. 1996;24(1...
The Stein's method, originally introduced by Stein (1972), gives us a novel wayto investigate normal...
Let (Xn) be a sequence of independent random variables and N a positive integral-valued random varia...
International audienceAs an extension of a central limit theorem established by Svante Janson, we pr...
International audienceAs an extension of a central limit theorem established by Svante Janson, we pr...
Let (Xn) be a sequence of independent identically distributed ran-dom variables with zero means and ...
We evaluate the accuracy of normal approximation for the distributions of some nonlinear functionals...
© 2017 Elsevier Ltd. All rights reserved. Due to the effort of a number of authors, the value cu of ...
Bentkus V, Götze F, Tikhomirov A. Berry-Esseen bounds for statistics of weakly dependent samples. BE...
In 2001, Chen and Shao gave the nonuniform estimation of the rate of convergence in Berry-Esseen the...
In this paper we shall derive Exponential nonuniform Berry-Esseen bounds in the central limit theore...
Stein's method is a powerful tool for proving central limit theorems along with explicit error bound...
Contains fulltext : 18830.pdf (publisher's version ) (Open Access)127 p