An Extension of the Weak Law of Large Numbers for Exchangeable Sequences

被引:1
作者
Stoica, George [1 ]
机构
[1] Univ New Brunswick, Dept Math Sci, St John, NB E2L 4L5, Canada
关键词
Exchangeable sequences; Kolmogorov-Feller weak law of large numbers; RANDOM-VARIABLES;
D O I
10.1007/s10440-008-9344-x
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We prove an extension of the Kolmogorov-Feller weak law of large numbers for exchangeable sequences, by relaxing the finite mean condition therein.
引用
收藏
页码:759 / 763
页数:5
相关论文
共 8 条
[1]  
Chow YS., 1978, Probability theory independenceinterchangeabilitymartingales
[2]   Strong law of large numbers for 2-exchangeable random variables [J].
Etemadi, N ;
Kaminski, M .
STATISTICS & PROBABILITY LETTERS, 1996, 28 (03) :245-250
[3]   An extension of the Kolmogorov-Feller weak law of large numbers with an application to the St. Petersburg game [J].
Gut, A .
JOURNAL OF THEORETICAL PROBABILITY, 2004, 17 (03) :769-779
[4]  
Hong D.H., 1998, COMM KOREAN MATH SOC, V13, P385
[5]   Central limit theorems for exchangeable random variables when limits are scale mixtures of normals [J].
Jiang, XX ;
Hahn, MG .
JOURNAL OF THEORETICAL PROBABILITY, 2003, 16 (03) :543-571
[6]   THE CENTRAL-LIMIT-THEOREM FOR EXCHANGEABLE RANDOM-VARIABLES WITHOUT MOMENTS [J].
KLASS, M ;
TEICHER, H .
ANNALS OF PROBABILITY, 1987, 15 (01) :138-153
[7]  
LYONS R, 1988, MICH MATH J, V35, P353
[8]   ON LAWS OF LARGE NUMBERS FOR EXCHANGEABLE RANDOM-VARIABLES [J].
TAYLOR, RL ;
HU, TC .
STOCHASTIC ANALYSIS AND APPLICATIONS, 1987, 5 (03) :323-334