Chover-type laws of the iterated logarithm for weighted sums

被引：8
作者：
Peng, L
Qi, YC
机构：
[1] Univ Minnesota, Dept Math & Stat, Duluth, MN 55812 USA
[2] Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA
来源：
STATISTICS & PROBABILITY LETTERS | 2003年 / 65卷 / 04期
关键词：
almost sure convergence; Chover-type law of the iterated logarithm; stable law; weighted sum;
D O I：
10.1016/j.spl.2003.08.009
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
In this paper, a Chover-type law of the iterated logarithm is established for the weighted sums of independent and identically distributed random variables with a distribution in the domain of attraction of a stable law. (C) 2003 Elsevier BN. All rights reserved.
引用
收藏
页码：401 / 410
页数：10
相关论文
共 13 条
[1]  
BINGHAM N. H., 1989, Regular variation
[2]  
Chen PY, 2002, STAT PROBABIL LETT, V60, P367
[3]   A LAW OF ITERATED LOGARITHM FOR STABLE SUMMANDS [J].
CHOVER, J .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1966, 17 (02) :441-&
[4]  
Chow Y. S., 1997, PROBABILITY THEORY I
[5]  
de Haan L., 1970, MATH CTR TRACT, V32
[6]  
GAPOSKIN VF, 1965, THEOR PROBAB APPL, V10, P420
[7]   A LAW OF THE ITERATED LOGARITHM FOR DOUBLE ARRAYS OF INDEPENDENT RANDOM-VARIABLES WITH APPLICATIONS TO REGRESSION AND TIME-SERIES MODELS [J].
LAI, TL ;
WEI, CZ .
ANNALS OF PROBABILITY, 1982, 10 (02) :320-335
[8]   Laws of the iterated logarithm for weighted sums of independent random variables [J].
Li, DL ;
Tomkins, RJ .
STATISTICS & PROBABILITY LETTERS, 1996, 27 (03) :247-254
[9]  
Loeve M, 1977, Graduate Texts in Mathematics, V45, DOI DOI 10.1007/978-1-4684-9466-8
[10]   STABILITY FOR SUMS OF IID RANDOM-VARIABLES WHEN EXTREME TERMS ARE EXCLUDED [J].
MORI, T .
ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1977, 40 (02) :159-167
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