LARGE DEVIATIONS FOR FUNCTIONALS OF STATIONARY-PROCESSES

被引:4
作者
NUMMELIN, E
机构
[1] Department of Mathematics, University of Helsinki, Helsinki 10, SF-00100
关键词
D O I
10.1007/BF01208257
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
Let (Sn) be a sequence of Rd-valued random variables adapted to the internal history of a stationary sequence of random elements (Xn). We formulate conditions under which the principle of large deviations holds true for the sequence (Sn). © 1990 Springer-Verlag.
引用
收藏
页码:387 / 401
页数:15
相关论文
共 13 条
[1]  
[Anonymous], 1984, LARGE DEVIATIONS APP
[2]  
Bahadur R.R., 1971, SOME LIMIT THEOREMS
[3]   A MEASURE OF ASYMPTOTIC EFFICIENCY FOR TESTS OF A HYPOTHESIS BASED ON THE SUM OF OBSERVATIONS [J].
CHERNOFF, H .
ANNALS OF MATHEMATICAL STATISTICS, 1952, 23 (04) :493-507
[4]  
CRAMER H, 1938, C THEORY PROBABILITY
[5]  
Ellis R.S., 1985, ENTROPY LARGE DEVIAT
[6]   LARGE DEVIATIONS FOR A GENERAL-CLASS OF RANDOM VECTORS [J].
ELLIS, RS .
ANNALS OF PROBABILITY, 1984, 12 (01) :1-12
[7]  
ELLIS RS, 1981, LARGE DEVIATIONS OTH
[8]  
GARTNER J, 1977, THEOR PROBAB APPL+, V22, P24
[9]  
ISCOE I, 1985, ADV APPL MATH, V6, P373, DOI 10.1016/0196-8858(85)90017-X
[10]   MIXING PROPERTIES, DIFFERENTIABILITY OF FREE-ENERGY AND CENTRAL LIMIT THEOREM FOR A PURE PHASE IN ISING-MODEL AT LOW-TEMPERATURE [J].
MARTINLOF, A .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1973, 32 (01) :75-92