CONSISTENT POLYGONAL FIELDS

被引:13
作者
ARAK, T [1 ]
SURGAILIS, D [1 ]
机构
[1] ACAD SCI LISSR,INST MATH & INFORMAT,VILNIUS 232600,LITHUANIA,USSR
关键词
D O I
10.1007/BF01198790
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 extend our results [3] on the construction of polygonal Markov fields on the plane taking finite number of values and having a given symmetric Markov process eta as the marginal process on each line, to the case when eta is reversible.
引用
收藏
页码:319 / 346
页数:28
相关论文
共 11 条
[1]   MARKOV-FIELDS WITH POLYGONAL REALIZATIONS [J].
ARAK, T ;
SURGAILIS, D .
PROBABILITY THEORY AND RELATED FIELDS, 1989, 80 (04) :543-579
[2]  
ARAK T, 1982, 4TH USSR JAP S PROB
[3]  
ARAK T, 1989, 5TH P VILN C, V1, P57
[4]  
ARAK T, 1986, P INT C MATH BERKELE, P994
[5]  
CLIFFORD P, 1989, J APPL STAT, V16, P409
[6]   UNILATERAL MARKOV-FIELDS [J].
PICKARD, DK .
ADVANCES IN APPLIED PROBABILITY, 1980, 12 (03) :655-671
[7]   CURIOUS BINARY LATTICE PROCESS [J].
PICKARD, DK .
JOURNAL OF APPLIED PROBABILITY, 1977, 14 (04) :717-731
[8]  
ROZANOV YA, 1981, MARKOV RANDOM FIELDS
[9]  
RUELLE D, 1969, STATISTICAL MECHANIC
[10]  
Sinai Ya.G., 1980, THEORY PHASE TRANSIT