LIMIT-THEOREMS FOR MULTIPLY INDEXED MIXING RANDOM-VARIABLES, WITH APPLICATION TO GIBBS RANDOM FIELDS

被引:16
作者
NEADERHOUSER, CC
机构
关键词
D O I
10.1214/aop/1176995568
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
引用
收藏
页码:207 / 215
页数:9
相关论文
共 16 条
[1]   LOCAL CENTRAL LIMIT THEOREM FOR GIBBS PROCESSES [J].
DELGROSSO, G .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1974, 37 (02) :141-160
[2]   NOTE ON EMPIRICAL PROCESSES OF STRONG-MIXING SEQUENCES [J].
DEO, CM .
ANNALS OF PROBABILITY, 1973, 1 (05) :870-875
[3]   FUNCTIONAL CENTRAL LIMIT THEOREM FOR STATIONARY RANDOM FIELDS [J].
DEO, CM .
ANNALS OF PROBABILITY, 1975, 3 (04) :708-715
[4]   BLOCK-SPIN DISTRIBUTIONS FOR SHORT-RANGE ATTRACTIVE ISING MODELS [J].
GALLAVOTTI, G ;
MARTINLOF, A .
NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 1975, B 25 (01) :425-441
[5]  
GALLAVOTTI G, 1968, COMMUN MATH PHYS, V7, P274
[6]  
HELMS LL, UNPUBLISHED
[7]   APPLICATIONS OF STOCHASTIC ISING-MODEL TO GIBBS STATES [J].
HOLLEY, RA ;
STROOCK, DW .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1976, 48 (03) :249-265
[8]  
Ibragimov IA., 1962, TEOR VEROJATNOST PRI, V7, P349, DOI [10.1137/1107036, DOI 10.1137/1107036]
[9]  
Loeve M., 1977, PROBABILITY THEORY
[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