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Volumn 33, Issue 4, 2005, Pages 1479-1508

Large deviations for processes with discontinuous statistics

Author keywords

General upper large deviation bound; Processes with discontinuous statistics; Sample path large deviations

Indexed keywords


EID: 23244451581     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/009117905000000189     Document Type: Article
Times cited : (20)

References (12)
  • 1
    • 0032389503 scopus 로고    scopus 로고
    • On large deviations of Markov processes with discontinuous statistics
    • ALANYALI, M. and HAJEK, B. (1998). On large deviations of Markov processes with discontinuous statistics. Ann. Appl. Probab. 8 45-66.
    • (1998) Ann. Appl. Probab. , vol.8 , pp. 45-66
    • Alanyali, M.1    Hajek, B.2
  • 2
    • 0033474697 scopus 로고    scopus 로고
    • Large deviations and queueing networks: Methods for rate function identification
    • ATAR, R. and DUPUIS, P. (1999). Large deviations and queueing networks: Methods for rate function identification. Stochastic Process. Appl. 84 255-296.
    • (1999) Stochastic Process. Appl. , vol.84 , pp. 255-296
    • Atar, R.1    Dupuis, P.2
  • 3
    • 0001768620 scopus 로고
    • Process level large deviations for a class of piecewise homogeneous random walks
    • (M. I. Friedlin, ed.). Birkhäuser, Boston
    • BLINOVSKIǏ, V. M. and DOBRUSHIN, R. L. (1994). Process level large deviations for a class of piecewise homogeneous random walks. In Dynkin Festschrift (M. I. Friedlin, ed.) 1-59. Birkhäuser, Boston.
    • (1994) Dynkin Festschrift , pp. 1-59
    • Blinovskiǐ, V.M.1    Dobrushin, R.L.2
  • 4
    • 0040927638 scopus 로고    scopus 로고
    • Large deviations for Markov chains in the positive quadrant
    • BOROVKOV, A. A. and MOGUL'SKIǏ, A. A. (2001). Large deviations for Markov chains in the positive quadrant. Russian Math. Surveys 56 803-916.
    • (2001) Russian Math. Surveys , vol.56 , pp. 803-916
    • Borovkov, A.A.1    Mogul'Skiǐ, A.A.2
  • 6
    • 0000215977 scopus 로고
    • The large deviation principle for a general class of queueing systems I
    • DUPUIS, P. and ELLIS, R. S. (1995). The large deviation principle for a general class of queueing systems I. Trans. Amer. Math. Soc. 347 2689-2751.
    • (1995) Trans. Amer. Math. Soc. , vol.347 , pp. 2689-2751
    • Dupuis, P.1    Ellis, R.S.2
  • 8
    • 0001129707 scopus 로고
    • Large deviations for Markov processes with discontinuous statistics I: General upper bounds
    • DUPUIS, P., ELLIS, R. S. and WEISS, A. (1991). Large deviations for Markov processes with discontinuous statistics I: General upper bounds. Ann. Probab. 19 1280-1297.
    • (1991) Ann. Probab. , vol.19 , pp. 1280-1297
    • Dupuis, P.1    Ellis, R.S.2    Weiss, A.3
  • 10
    • 0034346718 scopus 로고    scopus 로고
    • The large deviations of Jackson networks
    • IGNATIOUK-ROBERT, I. (2000). The large deviations of Jackson networks. Ann. Appl. Probab. 10 962-1001.
    • (2000) Ann. Appl. Probab. , vol.10 , pp. 962-1001
    • Ignatiouk-Robert, I.1
  • 11
    • 0035497814 scopus 로고    scopus 로고
    • Sample path large deviations and convergence parameters
    • IGNATIOUK-ROBERT, I. (2001). Sample path large deviations and convergence parameters. Ann. Appl. Probab. 11 1292-1329.
    • (2001) Ann. Appl. Probab. , vol.11 , pp. 1292-1329
    • Ignatiouk-Robert, I.1
  • 12
    • 0004267646 scopus 로고    scopus 로고
    • Princeton Univ. Press. (Reprint of the 1970 original, Princeton Paperbacks.)
    • ROCKAFELLAR, R. T. (1997). Convex Analysis. Princeton Univ. Press. (Reprint of the 1970 original, Princeton Paperbacks.)
    • (1997) Convex Analysis
    • Rockafellar, R.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.