A Multidimensional Analogue of the Berry-Esseen Inequality for Sets with Bounded Diameter

V. M. Zolotarev

doi:10.1137/1111045

A Multidimensional Analogue of the Berry-Esseen Inequality for Sets with Bounded Diameter

Theory of Probability and Its Applications ◽

10.1137/1111045 ◽

1966 ◽

Vol 11 (3) ◽

pp. 447-454 ◽

Cited By ~ 2

Author(s):

V. M. Zolotarev

Keyword(s):

Multidimensional Analogue ◽

Esseen Inequality

Addendum: A Multidimensional Analogue of the Berry-Esseen Inequality for Sets with Bounded Diameter

Theory of Probability and Its Applications ◽

10.1137/1113021 ◽

1968 ◽

Vol 13 (1) ◽

pp. 192

Author(s):

V. M. Zolotarev

Keyword(s):

Multidimensional Analogue ◽

Esseen Inequality

Multidimensional Riemann problem with self-similar internal structure – part III – a multidimensional analogue of the HLLI Riemann solver for conservative hyperbolic systems

Journal of Computational Physics ◽

10.1016/j.jcp.2017.05.038 ◽

2017 ◽

Vol 346 ◽

pp. 25-48 ◽

Cited By ~ 23

Author(s):

Dinshaw S. Balsara ◽

Boniface Nkonga

Keyword(s):

Internal Structure ◽

Riemann Problem ◽

Hyperbolic Systems ◽

Riemann Solver ◽

Multidimensional Analogue ◽

Self Similar

Stein's Method and Self-Normalized Berry–Esseen Inequality

Probability and its Applications - Self-Normalized Processes ◽

10.1007/978-3-540-85636-8_5 ◽

2009 ◽

pp. 41-61

Keyword(s):

Stein’S Method ◽

Stein's Method ◽

Esseen Inequality

A conditional Berry–Esseen inequality

Journal of Applied Probability ◽

10.1017/jpr.2019.7 ◽

2019 ◽

Vol 56 (01) ◽

pp. 76-90

Author(s):

Thierry Klein ◽

Agnés Lagnoux ◽

Pierre Petit

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Central Limit ◽

Random Variables ◽

Esseen Inequality ◽

Independent And Identically Distributed

AbstractAs an extension of a central limit theorem established by Svante Janson, we prove a Berry–Esseen inequality for a sum of independent and identically distributed random variables conditioned by a sum of independent and identically distributed integer-valued random variables.

The Esseen inequality for sums of a random number of differently distributed random variables

Mathematical Notes ◽

10.1007/bf01147702 ◽

1977 ◽

Vol 22 (1) ◽

pp. 569-571 ◽

Cited By ~ 8

Author(s):

Kh. Batirov ◽

D. V. Manevich ◽

S. V. Nagaev

Keyword(s):

Random Number ◽

Random Variables ◽

Esseen Inequality ◽

Inequality For Sums

On a multidimensional analogue of the Schwarz example

Izvestiya Mathematics ◽

10.1070/im2012v076n04abeh002601 ◽

2012 ◽

Vol 76 (4) ◽

pp. 681-687 ◽

Cited By ~ 2

Author(s):

Vladimir A Klyachin

Keyword(s):

Multidimensional Analogue

On computing the constant in the berry-esseen inequality for a class of distributions

Lithuanian Mathematical Journal ◽

10.1007/bf00970674 ◽

1993 ◽

Vol 32 (4) ◽

pp. 410-413

Author(s):

A. Mitalauskas

Keyword(s):

Esseen Inequality

Multidimensional analogue of Virasoro algebra and quantum higher-order water wave equation

International Journal of Theoretical Physics ◽

10.1007/bf00673721 ◽

1993 ◽

Vol 32 (2) ◽

pp. 347-351

Author(s):

P. Guha ◽

A. Roy Chowdhury

Keyword(s):

Wave Equation ◽

Water Wave ◽

Virasoro Algebra ◽

Higher Order ◽

Multidimensional Analogue

A generalization of the Esseen inequality for the concentration function

Journal of Soviet Mathematics ◽

10.1007/bf01663456 ◽

1987 ◽

Vol 36 (4) ◽

pp. 473-476 ◽

Cited By ~ 1

Author(s):

A. I. Daugavet ◽

V. V. Petrov

Keyword(s):

Concentration Function ◽

Esseen Inequality

On analogues of the berry?esseen inequality for L-statistics

Journal of Mathematical Sciences ◽

10.1007/bf01249902 ◽

1994 ◽

Vol 72 (1) ◽

pp. 2872-2879 ◽

Cited By ~ 2

Author(s):

N. V. Gribkova

Keyword(s):

Esseen Inequality