A probability limit theorem for {f(nx)}

被引：4

作者：

Péter, E ^{[1
]}

机构：

[1] YBL Miklos Polytech, Lab Informat, H-1146 Budapest, Hungary

来源：

ACTA MATHEMATICA HUNGARICA | 2000年 / 87卷 / 1-2期

关键词：

Measurable Function; Early Result; Limit Theorem; Probability Limit; Iterate Logarithm;

D O I：

10.1023/A:1006716931963

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a law of the iterated logarithm for sums Sigma (k) less than or equal to (N) f(n(k)x) where f is a periodic measurable function and (n(k)) is a rapidly increasing sequence of integers. Our result applies also in the sub-Hadamard case and extends and improves earlier results in the field.

引用

页码：23 / 31

页数：9

共 50 条

[1] A Probability Limit Theorem for {f(nx)}
Erika Péter
Acta Mathematica Hungarica, 2000, 87 : 23 - 31
[2] The central limit theorem for Σ f(θnx)g(θn2x)
Fukuyama, K
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2000, 20 : 1335 - 1353
[3] On the limit theorem of the probability theory
Bernstein, S
MATHEMATISCHE ANNALEN, 1922, 85 : 237 - 241
[4] A local limit theorem for the probability of ruin
Yin, CC
SCIENCE IN CHINA SERIES A-MATHEMATICS, 2004, 47 (05): : 711 - 721
[5] A local limit theorem for the probability of ruin
Chuancun Yin
Science in China Series A: Mathematics, 2004, 47
[6] A limit theorem for probability distributions on lattices
van Kampen, ER
Wintner, A
AMERICAN JOURNAL OF MATHEMATICS, 1939, 61 : 965 - 973
[7] A local limit theorem for the probability of ruin
YIN ChuancunDepartment of Mathematics
Science China Mathematics, 2004, (05) : 711 - 721
[8] Generalization of a probability limit theorem of Cramer
Feller, W.
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1943, 54 (1-3) : 361 - 372
[9] A new limit theorem in probability calculus
Khintchine, A
MATHEMATISCHE ANNALEN, 1929, 101 : 745 - 752
[10] GENERAL POISSON LIMIT THEOREM OF PROBABILITY THEORY
GALAMBOS, J
DUKE MATHEMATICAL JOURNAL, 1973, 40 (03) : 581 - 586

← 1 2 3 4 5 →