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Volumn 41, Issue 1, 2009, Pages 292-308

Approximate probabilities for runs and patterns in I.I.D. and Markov-dependent multistate trials

Author keywords

Finite Markov chain imbedding; Multistate trial; Rate functions

Indexed keywords

FINITE MARKOV CHAIN; FINITE MARKOV CHAIN IMBEDDING; MATRIX THEORY; MULTI STATE; MULTISTATE TRIAL; NORMAL APPROXIMATION; NUMERICAL COMPARISON; RATE FUNCTIONS; TAIL PROBABILITY;

EID: 67649647591     PISSN: 00018678     EISSN: None     Source Type: Journal    
DOI: 10.1239/aap/1240319586     Document Type: Article
Times cited : (14)

References (12)
  • 1
    • 84972496740 scopus 로고
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    • (1990) Statist. Sci , vol.5 , pp. 403-434
    • ARRIATA, R.1    GOLDSTEIN, L.2    GORDON, L.3
  • 2
    • 0030105250 scopus 로고    scopus 로고
    • Compound Poisson approximation in system sreliability
    • BARBOUR, A. D., CHRYSSAPHINOU, O. AND ROOS, M. (1996). Compound Poisson approximation in system sreliability. Naval Res. Logistics 43, 251-264.
    • (1996) Naval Res. Logistics , vol.43 , pp. 251-264
    • BARBOUR, A.D.1    CHRYSSAPHINOU, O.2    ROOS, M.3
  • 3
    • 84950460234 scopus 로고
    • Distribution theory of runs: A Markov chain approach
    • FU, J. C. AND KOUTRAS, M. V. (1994). Distribution theory of runs: a Markov chain approach. J. Amer. Statist. Assoc. 89, 1050-1058.
    • (1994) J. Amer. Statist. Assoc , vol.89 , pp. 1050-1058
    • FU, J.C.1    KOUTRAS, M.V.2
  • 5
    • 0041912637 scopus 로고    scopus 로고
    • On exact and larged eviation approximation for the distribution of the longest run in a sequence of two-state Markov dependent trials
    • FU, J. C., WANG, L. AND LOU, W. Y. W. (2003). On exact and larged eviation approximation for the distribution of the longest run in a sequence of two-state Markov dependent trials. J. Appl. Prob. 40,346-360.
    • (2003) J. Appl. Prob , vol.40 , pp. 346-360
    • FU, J.C.1    WANG, L.2    LOU, W.Y.W.3
  • 6
    • 67649649531 scopus 로고    scopus 로고
    • GODBOLE, A. P. (1991). Poisson approximations for runs and patterns of rare events. Adv. Appl. Prob. 23, 851-865.
    • GODBOLE, A. P. (1991). Poisson approximations for runs and patterns of rare events. Adv. Appl. Prob. 23, 851-865.
  • 7
    • 0002845889 scopus 로고
    • Improved Poisson approximations for word patterns
    • GODBOLE, A. P. AND SCHAFFNER, A. A. (1993). Improved Poisson approximations for word patterns. Adv. Appl. Prob. 25, 334-347.
    • (1993) Adv. Appl. Prob , vol.25 , pp. 334-347
    • GODBOLE, A.P.1    SCHAFFNER, A.A.2
  • 8
    • 67649651615 scopus 로고    scopus 로고
    • MOOD, A. M. (1940). The distribution theory of runs. Ann. Math. Statist. 11, 367-392.
    • MOOD, A. M. (1940). The distribution theory of runs. Ann. Math. Statist. 11, 367-392.
  • 10
    • 0000933735 scopus 로고
    • On a test whether two samples are from the same population
    • WALD, J. AND WOLFOWITZ, J.(1940). On a test whether two samples are from the same population. Ann. Math. Statist. 11, 147-162.
    • (1940) Ann. Math. Statist , vol.11 , pp. 147-162
    • WALD, J.1    WOLFOWITZ, J.2
  • 11
    • 84963039767 scopus 로고
    • A theorem concerning the distribution of joins between line segments
    • WISHART, J. AND HIRSCHFELD, H. O. (1936). A theorem concerning the distribution of joins between line segments. J. London Math. Soc. 11, 227-235.
    • (1936) J. London Math. Soc , vol.11 , pp. 227-235
    • WISHART, J.1    HIRSCHFELD, H.O.2
  • 12
    • 0001186447 scopus 로고
    • On the theory of runs with some applications to quality control
    • WOLFOWITZ, J. (1943). On the theory of runs with some applications to quality control. Ann. Math. Statist. 14, 280-288.
    • (1943) Ann. Math. Statist , vol.14 , pp. 280-288
    • WOLFOWITZ, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.