Almost sure limit theorems for random sums of multiindex random variables

被引：0

作者：

Terekhova, L. P. ^{[1
]}

机构：

[1] Kazan VI Lenin State Univ, Dept Math Stat & Probabil, Chebotarev Inst Math & Mech, Kazan 420008, Russia

来源：

LITHUANIAN MATHEMATICAL JOURNAL | 2009年 / 49卷 / 03期

关键词：

almost sure limit theorems; functional limit theorems; random sums; multiindex random variables; ATTRACTION;

D O I：

10.1007/s10986-009-9051-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we obtain an almost sure functional limit theorem for random sums of multiindex random variables.

引用

页码：318 / 330

页数：13

共 50 条

[41] Modulo 1 limit theorems for autoregressive random variables and their sums
Masse, Bruno
STATISTICS & PROBABILITY LETTERS, 2018, 135 : 70 - 75
[42] Functional limit theorems for sums of independent random variables with replacements
Chuprunov, AN
PROBABILISTIC METHODS IN DISCRETE MATHEMATICS, 1997, : 157 - 173
[43] On the Rates of Convergence in Central Limit Theorems for Compound Random Sums of Independent Random Variables
Tran Loc Hung
Lobachevskii Journal of Mathematics, 2021, 42 : 374 - 393
[44] On the Rates of Convergence in Central Limit Theorems for Compound Random Sums of Independent Random Variables
Tran Loc Hung
LOBACHEVSKII JOURNAL OF MATHEMATICS, 2021, 42 (02) : 374 - 393
[45] Convergence rates in the limit theorems for random sums of m-orthogonal random variables
Quang, Nguyen Van
Huan, Nguyen Van
Kien, Phan Tri
STATISTICS & PROBABILITY LETTERS, 2025, 216
[46] A NOTE ON THE ALMOST SURE CONVERGENCE OF SUMS OF NEGATIVELY DEPENDENT RANDOM-VARIABLES
MATULA, P
STATISTICS & PROBABILITY LETTERS, 1992, 15 (03) : 209 - 213
[47] Almost sure convergence for weighted sums of negatively orthant dependent random variables
Ko, MH
Kim, TS
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2005, 42 (05) : 949 - 957
[48] ALMOST SURE INVARIANCE PRINCIPLES FOR SUMS OF WEAKLY DEPENDENT RANDOM-VARIABLES
PHILIPP, W
STOUT, WF
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 21 (06): : A557 - A557
[49] Almost sure convergence for weighted sums of extended negatively dependent random variables
J. Lita da Silva
Acta Mathematica Hungarica, 2015, 146 : 56 - 70
[50] Almost sure convergence for weighted sums of extended negatively dependent random variables
Lita da Silva, J.
ACTA MATHEMATICA HUNGARICA, 2015, 146 (01) : 56 - 70

← 1 2 3 4 5 →