Convergence to Infinite-Dimensional Compound Poisson Distributions on Convex Polyhedra

被引：0

作者：

Götze F. ^{[1
]}

Zaitsev A.Y. ^{[2
,3
]}

机构：

[1] Fakultät für Mathematik, Universität Bielefeld, Bielefeld

[2] St. Petersburg Department of Steklov Mathematical Institute, St. Petersburg

[3] St. Petersburg State University, St. Petersburg

来源：

Journal of Mathematical Sciences | 2023年 / 273卷 / 5期

关键词：

D O I：

10.1007/s10958-023-06536-5

中图分类号：

学科分类号：

摘要：

The present work is aimed at supplementing the authors’ paper (2018). Our results on the approximation of distributions of sums of independent summands by the accompanying compound Poisson laws and the estimates of the proximity of sequential convolutions of multidimensional distributions on convex polyhedra are shown to be applicable almost automatically to the infinite-dimensional case. © 2023, Springer Nature Switzerland AG.

引用

页码：732 / 737

页数：5

共 50 条

[1] On rates of convergence for posterior distributions in infinite-dimensional models
Walker, Stephen G.
Lijoi, Antonio
Prunster, Igor
[J]. ANNALS OF STATISTICS, 2007, 35 (02): : 738 - 746
[2] Weak convergence of infinite-dimensional diffusions
Seidler, J
[J]. STOCHASTIC ANALYSIS AND APPLICATIONS, 1997, 15 (03) : 399 - 417
[3] Approximating the density of infinite-dimensional distributions
V. G. Bondarenko
[J]. Cybernetics and Systems Analysis, 1998, 34 : 144 - 146
[4] Approximating the density of infinite-dimensional distributions
Bondarenko, VG
[J]. CYBERNETICS AND SYSTEMS ANALYSIS, 1998, 34 (01) : 144 - 146
[5] Infinite-Dimensional Quadrature and Approximation of Distributions
Creutzig, Jakob
Dereich, Steffen
Mueller-Gronbach, Thomas
Ritter, Klaus
[J]. FOUNDATIONS OF COMPUTATIONAL MATHEMATICS, 2009, 9 (04) : 391 - 429
[6] ANALYTIC PROPERTIES OF INFINITE-DIMENSIONAL DISTRIBUTIONS
BOGACHEV, VI
SMOLYANOV, OG
[J]. RUSSIAN MATHEMATICAL SURVEYS, 1990, 45 (03) : 1 - 104
[7] Infinite-Dimensional Quadrature and Approximation of Distributions
Jakob Creutzig
Steffen Dereich
Thomas Müller-Gronbach
Klaus Ritter
[J]. Foundations of Computational Mathematics, 2009, 9 : 391 - 429
[8] QUADRATIC POISSON ALGEBRAS AND THEIR INFINITE-DIMENSIONAL EXTENSIONS
FOKAS, AS
GELFAND, IM
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1994, 35 (06) : 3117 - 3131
[9] CONVERGENCE ON DISTRIBUTION OF INFINITE-DIMENSIONAL REGRESSION PARAMETER
KUKUSH, AG
[J]. DOPOVIDI AKADEMII NAUK UKRAINSKOI RSR SERIYA A-FIZIKO-MATEMATICHNI TA TECHNICHNI NAUKI, 1988, (05): : 11 - 14
[10] Distributions and Analytical Measures on Infinite-Dimensional Spaces
A. A. Belyaev
O. G. Smolyanov
[J]. Doklady Mathematics, 2018, 98 : 541 - 544

← 1 2 3 4 5 →