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Volumn 12, Issue 3, 2002, Pages 921-943

Processes with long memory: Regenerative construction and perfect simulation

Author keywords

Binary autoregressions; Chains with complete connections; Perfect simulation; Regeneration

Indexed keywords


EID: 0042470719     PISSN: 10505164     EISSN: None     Source Type: Journal    
DOI: 10.1214/aoap/1031863175     Document Type: Article
Times cited : (63)

References (41)
  • 1
    • 0000991156 scopus 로고
    • A new approach to the limit theory of recurrent Markov chains
    • ATHREYA, K. and NEY, P. (1978). A new approach to the limit theory of recurrent Markov chains. Trans. Amer. Math. Soc. 245 493-501.
    • (1978) Trans. Amer. Math. Soc. , vol.245 , pp. 493-501
    • Athreya, K.1    Ney, P.2
  • 2
    • 0000230370 scopus 로고
    • Invariant measures for Markov processes arising from iterated function systems with place-dependent probabilities
    • [Erratum (1989) 25 589-590.]
    • BARNSLEY, M., DEMKO, S., ELTON, J. and GERINOMO, J. (1988). Invariant measures for Markov processes arising from iterated function systems with place-dependent probabilities. Ann. Inst. H. Poincaré, Probab. Statist. 24 367-394. [Erratum (1989) 25 589-590.]
    • (1988) Ann. Inst. H. Poincaré, Probab. Statist. , vol.24 , pp. 367-394
    • Barnsley, M.1    Demko, S.2    Elton, J.3    Gerinomo, J.4
  • 3
    • 0002422401 scopus 로고
    • Chains with complete connections: Uniqueness and Markov representation
    • BERBEE, H. (1987). Chains with complete connections: Uniqueness and Markov representation. Probab. Theory Related Fields 76 243-253.
    • (1987) Probab. Theory Related Fields , vol.76 , pp. 243-253
    • Berbee, H.1
  • 5
    • 33749334872 scopus 로고
    • Sur les probabliités dénombrables et leurs applications arithmetiques
    • BOREL, E. (1909). Sur les probabliités dénombrables et leurs applications arithmetiques. Rend. Circ. Mat. Palermo 26 247-271.
    • (1909) Rend. Circ. Mat. Palermo , vol.26 , pp. 247-271
    • Borel, E.1
  • 6
    • 0042160387 scopus 로고    scopus 로고
    • Decay of correlations for non Ḧlderian dynamics. A coupling approach
    • BRESSAUD, X., FERNÁNDEZ, R. and GALVES, A. (1999). Decay of correlations for non Ḧlderian dynamics. A coupling approach. Electron. J. Probab. 4.
    • (1999) Electron. J. Probab. , vol.4
    • Bressaud, X.1    Fernández, R.2    Galves, A.3
  • 7
    • 0035538466 scopus 로고    scopus 로고
    • Perfect sampling of Harris recurrent Markov chains
    • CORCORAN, J. N. and TWEEDIE, R. L. (2001). Perfect sampling of Harris recurrent Markov chains. Ann. Appl. Probab. 11 438-451.
    • (2001) Ann. Appl. Probab. , vol.11 , pp. 438-451
    • Corcoran, J.N.1    Tweedie, R.L.2
  • 9
    • 0001386840 scopus 로고
    • Sur deux problémes de M. Kolmogoroff concernant les chaînes dénombrables
    • DOEBLIN, W. (1938). Sur deux problémes de M. Kolmogoroff concernant les chaînes dénombrables. Bull. Soc. Math. France 66 210-220.
    • (1938) Bull. Soc. Math. France , vol.66 , pp. 210-220
    • Doeblin, W.1
  • 10
    • 0001208358 scopus 로고
    • Remarques sur la théorie métrique des fractions continues
    • DOEBLIN, W. (1940). Remarques sur la théorie métrique des fractions continues. Compositio Math. 7 353-371.
    • (1940) Compositio Math. , vol.7 , pp. 353-371
    • Doeblin, W.1
  • 11
    • 0000105202 scopus 로고
    • Sur les chaînes à liaisons complétes
    • DOEBLIN, W. and FORTET, R. (1937). Sur les chaînes à liaisons complétes. Bull. Soc. Math. France 65 132-148.
    • (1937) Bull. Soc. Math. France , vol.65 , pp. 132-148
    • Doeblin, W.1    Fortet, R.2
  • 12
    • 0001152899 scopus 로고
    • Iterated function systems arising from recursive estimation problems
    • ELTON, J. and PICCIONI, M. (1992). Iterated function systems arising from recursive estimation problems. Probab. Theory Related Fields 91107-114.
    • (1992) Probab. Theory Related Fields , vol.91 , pp. 107-114
    • Elton, J.1    Piccioni, M.2
  • 13
    • 0034361235 scopus 로고    scopus 로고
    • Cesàro mean distribution of group automata starting from measures with summable decay
    • FERRARI, P. A., MAASS, A., MARTÍNEZ, S. and NEY, P. (2000). Cesàro mean distribution of group automata starting from measures with summable decay. Ergodic Theory Dynam. Systems 20 1657-1670.
    • (2000) Ergodic Theory Dynam. Systems , vol.20 , pp. 1657-1670
    • Ferrari, P.A.1    Maass, A.2    Martínez, S.3    Ney, P.4
  • 14
    • 0032396902 scopus 로고    scopus 로고
    • An interruptible algorithm for perfect sampling via Markov chains
    • FILL, J. A. (1998). An interruptible algorithm for perfect sampling via Markov chains. Ann. Appl. Probab. 8 131-162.
    • (1998) Ann. Appl. Probab. , vol.8 , pp. 131-162
    • Fill, J.A.1
  • 17
    • 84972535307 scopus 로고
    • On chains of infinite order
    • HARRIS, T. E. (1955). On chains of infinite order. Pacific J. Math. 5 707-724.
    • (1955) Pacific J. Math. , vol.5 , pp. 707-724
    • Harris, T.E.1
  • 20
    • 0041659419 scopus 로고
    • A coupling method in the theory of dependence with complete connections according to Doeblin
    • IOSIFESCU, M. (1992). A coupling method in the theory of dependence with complete connections according to Doeblin. Rev. Roumaine Math. Pures Appl. 37 59-65.
    • (1992) Rev. Roumaine Math. Pures Appl. , vol.37 , pp. 59-65
    • Iosifescu, M.1
  • 23
    • 0010074163 scopus 로고
    • A limit theorem for partially observed Markov chains
    • KAIJSER, T. (1975). A limit theorem for partially observed Markov chains. Ann. Probab. 3 677-696.
    • (1975) Ann. Probab. , vol.3 , pp. 677-696
    • Kaijser, T.1
  • 24
    • 0002352427 scopus 로고
    • On a new contraction condition for random systems with complete connections
    • KAIJSER, T. (1981). On a new contraction condition for random systems with complete connections. Rev. Roumaine Math. Pures Appl. 26 1075-1117.
    • (1981) Rev. Roumaine Math. Pures Appl. , vol.26 , pp. 1075-1117
    • Kaijser, T.1
  • 25
    • 0041744544 scopus 로고
    • On a theorem of Karlin
    • KAIJSER, T. (1994). On a theorem of Karlin. Acta Appl. Math. 34 51-69.
    • (1994) Acta Appl. Math. , vol.34 , pp. 51-69
    • Kaijser, T.1
  • 26
    • 0042564419 scopus 로고
    • Sur les mesures invariants d'un recouvrement régulier
    • KEANE, M. (1971). Sur les mesures invariants d'un recouvrement régulier. C. R. Acad. Sci. Paris A585-A587.
    • (1971) C. R. Acad. Sci. Paris
    • Keane, M.1
  • 27
    • 0442269813 scopus 로고
    • Strongly mixing g-measures
    • KEANE, M. (1976). Strongly mixing g-measures. Invent. Math. 16 309-324.
    • (1976) Invent. Math. , vol.16 , pp. 309-324
    • Keane, M.1
  • 28
    • 0016078912 scopus 로고
    • Gibbs description of a system of random variables
    • KOZLOV, O. K. (1974). Gibbs description of a system of random variables. Problems Inform. Transmission 10 258-265.
    • (1974) Problems Inform. Transmission , vol.10 , pp. 258-265
    • Kozlov, O.K.1
  • 29
    • 0009128106 scopus 로고
    • Regeneration representation for one-dimensional Gibbs states
    • LALLEY, S. P. (1986). Regeneration representation for one-dimensional Gibbs states. Ann. Probab. 14 1262-1271.
    • (1986) Ann. Probab. , vol.14 , pp. 1262-1271
    • Lalley, S.P.1
  • 30
    • 0042661373 scopus 로고    scopus 로고
    • Regeneration in one-dimensional Gibbs states and chains with complete connections
    • LALLEY, S. P. (2000). Regeneration in one-dimensional Gibbs states and chains with complete connections. Resenhas 4 249-281.
    • (2000) Resenhas , vol.4 , pp. 249-281
    • Lalley, S.P.1
  • 31
    • 0001483334 scopus 로고
    • Principe variationnel et systèmes dynamiques symboliques
    • LEDRAPPIER, F. (1974). Principe variationnel et systèmes dynamiques symboliques. Z. Wahrsch. Verw. Gebiete 30 185-202.
    • (1974) Z. Wahrsch. Verw. Gebiete , vol.30 , pp. 185-202
    • Ledrappier, F.1
  • 34
    • 0016050860 scopus 로고
    • Markovian learning processes
    • NORMAN, F. (1974). Markovian learning processes. SIAM Rev. 16 143-162.
    • (1974) SIAM Rev. , vol.16 , pp. 143-162
    • Norman, F.1
  • 35
    • 0011884874 scopus 로고
    • An ergodic theorem for evolution in a random environment
    • NORMAN, F. (1975). An ergodic theorem for evolution in a random environment. J. Appl. Probab. 12 661-672.
    • (1975) J. Appl. Probab. , vol.12 , pp. 661-672
    • Norman, F.1
  • 36
    • 0000427555 scopus 로고
    • A splitting technique for Harris recurrent Markov chains
    • NUMMELIN, E. (1978). A splitting technique for Harris recurrent Markov chains. Z. Wahrsch. Verw. Gebiete 43 309-318.
    • (1978) Z. Wahrsch. Verw. Gebiete , vol.43 , pp. 309-318
    • Nummelin, E.1
  • 37
  • 38
    • 0040309334 scopus 로고
    • Sur les chaînes de variables statistiques
    • ONICESCU, O. and MIHOC, G. (1935b). Sur les chaînes de variables statistiques. Bull. Sci. Math. 59 174-192.
    • (1935) Bull. Sci. Math. , vol.59 , pp. 174-192
    • Onicescu, O.1    Mihoc, G.2
  • 39
    • 0005193926 scopus 로고    scopus 로고
    • Exact sampling with coupled Markov chains and applications to statistical mechanics
    • PROPP, J. G. and WILSON, D. B. (1996). Exact sampling with coupled Markov chains and applications to statistical mechanics. Random Structures Algorithms 9 223-252.
    • (1996) Random Structures Algorithms , vol.9 , pp. 223-252
    • Propp, J.G.1    Wilson, D.B.2
  • 40
    • 0043162273 scopus 로고
    • Functions of event variables of a random system with complete connections
    • PRUSCHA, H. and THEODORESCU, R. (1977). Functions of event variables of a random system with complete connections. J. Multivariate Anal. 7 336-362.
    • (1977) J. Multivariate Anal. , vol.7 , pp. 336-362
    • Pruscha, H.1    Theodorescu, R.2
  • 41
    • 0001494844 scopus 로고    scopus 로고
    • Annotated bibliography of perfectly random sampling with Markov chains
    • D. Aldous and J. Propp, eds. Amer. Math. Soc., Providence, RI
    • WILSON, D. B. (1998). Annotated bibliography of perfectly random sampling with Markov chains. In Microsurveys in Discrete Probability (D. Aldous and J. Propp, eds.) 41 209-220. Amer. Math. Soc., Providence, RI. (Updated versions available at http://dimacs.rutgers.edu/̃dbwilson/exact.)
    • (1998) Microsurveys in Discrete Probability , vol.41 , pp. 209-220
    • Wilson, D.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.