A REMARK ON THE CONNECTION BETWEEN THE LARGE DEVIATION PRINCIPLE AND THE CENTRAL-LIMIT-THEOREM

被引:63
作者
BRYC, W [1 ]
机构
[1] UNIV CINCINNATI,DEPT MATH,CINCINNATI,OH 45221
关键词
LARGE DEVIATIONS; CENTRAL LIMIT THEOREM; ZEROS OF PARTITION FUNCTION;
D O I
10.1016/0167-7152(93)90012-8
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
We point out that under a suitable regularity condition the central limit theorem can be obtained as a consequence of the large deviation principle.
引用
收藏
页码:253 / 256
页数:4
相关论文
共 12 条
[1]   ON THE LARGE DEVIATION PRINCIPLE FOR A QUADRATIC FUNCTIONAL OF THE AUTOREGRESSIVE PROCESS [J].
BRYC, W ;
SMOLENSKI, W .
STATISTICS & PROBABILITY LETTERS, 1993, 17 (04) :281-285
[2]   LARGE DEVIATIONS FOR SOME WEAKLY DEPENDENT RANDOM-PROCESSES [J].
BURTON, RM ;
DEHLING, H .
STATISTICS & PROBABILITY LETTERS, 1990, 9 (05) :397-401
[3]   LARGE DEVIATIONS FOR POISSON SYSTEMS OF INDEPENDENT RANDOM-WALKS [J].
COX, JT ;
GRIFFEATH, D .
ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1984, 66 (04) :543-558
[4]  
Dembo A., 1993, LARGE DEVIATIONS APP
[5]  
Ellis R.S., 1985, ENTROPY LARGE DEVIAT
[6]  
ELLIS RS, 1981, UNPUB LARGE DEVIATIO
[7]  
Hille E., 1962, ANAL FUNCTION THEORY, VII
[8]   LEE-YANG THEORY AND NORMAL FLUCTUATIONS [J].
IAGOLNITZER, D .
PHYSICAL REVIEW B, 1979, 19 (03) :1515-1518
[10]  
LEVIN BJ, 1964, DISTRIBUTION ZEROS E