R-THEORY FOR MARKOV CHAINS ON A GENERAL STATE SPACE .1. SOLIDARITY PROPERTIES AND R-RECURRENT CHAINS

被引:65
作者
TWEEDIE, RL [1 ]
机构
[1] AUSTRALIAN NATL UNIV,DEPT STATISTICS,BOX 4 PO,CANBERRA 2600,ACT,AUSTRALIA
关键词
D O I
10.1214/aop/1176996552
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
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页码:840 / 864
页数:25
相关论文
共 16 条
  • [1] THE EXISTENCE OF ANORMAL CHAINS[J]. BLACKWELL, D. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1945(06)
  • [2] A SOLUTION TO A SET OF FUNDAMENTAL EQUATIONS IN MARKOV CHAINS[J]. DERMAN, C. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1954(02)
  • [3] Foguel SR., 1969, Van Nostrand Mathematical Studies
  • [4] COMPACTNESS AND SEQUENTIAL COMPACTNESS IN SPACES OF MEASURES[J]. GANSSLER, P. ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1971(02)
  • [5] Harris T.E., 1957, Proc. Amer. Math. Soc, V8, P937, DOI [10.1090/S0002-9939-1957-0091564-3, DOI 10.1090/S0002-9939-1957-0091564-3]
  • [6] HARRIS TE, 1956, 3RD P BERK S MATH ST, V2, P113
  • [7] CONTRIBUTIONS TO DOEBLINS THEORY OF MARKOV PROCESSES[J]. JAIN, N;JAMISON, B. ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1967(01)
  • [8] MARKOV CHAINS RECURRENT IN SENSE OF HARRIS[J]. JAMISON, B;OREY, S. ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1967(01)
  • [9] COMPLETELY RANDOM MEASURES[J]. KINGMAN, JFC. PACIFIC JOURNAL OF MATHEMATICS, 1967(01)
  • [10] MOY STC, 1967, J MATH MECH, V16, P1207