메뉴 건너뛰기




Volumn 33, Issue 3, 1996, Pages 707-713

Stein's method for geometric approximation

Author keywords

Geometric approximation; Hitting times; Patterns in coin tossing; Poisson approximation; Stein's method

Indexed keywords


EID: 0040793955     PISSN: 00219002     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0021900200100142     Document Type: Article
Times cited : (40)

References (17)
  • 2
    • 0041133025 scopus 로고
    • Markov chains with almost exponential hitting times
    • ALDOUS, D. (1982) Markov chains with almost exponential hitting times. Stoch. Proc. Appl. 13, 305-310.
    • (1982) Stoch. Proc. Appl. , vol.13 , pp. 305-310
    • Aldous, D.1
  • 3
    • 0000549988 scopus 로고
    • Compond Poisson approximation for non-negative random variables via Stein's method
    • BARBOUR, A. D., CHEN L. H. Y. AND LOH, W.-L. (1992) Compond Poisson approximation for non-negative random variables via Stein's method. Ann. Prob. 20, 1843-1866.
    • (1992) Ann. Prob. , vol.20 , pp. 1843-1866
    • Barbour, A.D.1    Chen, L.H.Y.2    Loh, W.-L.3
  • 6
    • 0020179938 scopus 로고
    • How many random digits are required until given sequences are obtained?
    • BLOM, G. AND THORBURN, D. (1982) How many random digits are required until given sequences are obtained? J. Appl. Prob. 19, 518-531.
    • (1982) J. Appl. Prob. , vol.19 , pp. 518-531
    • Blom, G.1    Thorburn, D.2
  • 7
    • 0040539060 scopus 로고
    • On the waiting time for the first occurrence of a pattern
    • ed. M. Abdel-Hameed, E. Çinlar and J. Quinn
    • BROWN, M. AND GE, G. (1984) On the waiting time for the first occurrence of a pattern. In Reliability Theory and Models. ed. M. Abdel-Hameed, E. Çinlar and J. Quinn.
    • (1984) Reliability Theory and Models
    • Brown, M.1    Ge, G.2
  • 8
    • 0013673625 scopus 로고
    • A limit theorem for the number of non-overlapping occurrences of a pattern in a sequence of independent trials
    • CHRYSSAPHINOU, O. AND PAPASTAVRIDIS, S. (1988) A limit theorem for the number of non-overlapping occurrences of a pattern in a sequence of independent trials. J. Appl. Prob. 25, 428-431.
    • (1988) J. Appl. Prob. , vol.25 , pp. 428-431
    • Chryssaphinou, O.1    Papastavridis, S.2
  • 9
    • 0003014023 scopus 로고
    • Binomial approximation to the poisson binomial distribution
    • EHM, W. (1991) Binomial approximation to the Poisson binomial distribution. Statist. Prob. Lett. 11, 7-16.
    • (1991) Statist. Prob. Lett. , vol.11 , pp. 7-16
    • Ehm, W.1
  • 10
    • 0000309739 scopus 로고
    • Poisson approximations for runs and patterns of rare events
    • GODBOLE, A. P. (1991) Poisson approximations for runs and patterns of rare events. Adv. Appl. Prob. 23, 851-865.
    • (1991) Adv. Appl. Prob. , vol.23 , pp. 851-865
    • Godbole, A.P.1
  • 11
    • 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
  • 12
    • 0039946146 scopus 로고
    • Partial coupling and loss of memory for Markov chains
    • GRIFFEATH, D. (1976) Partial coupling and loss of memory for Markov chains. Ann. Prob. 4, 550-558.
    • (1976) Ann. Prob. , vol.4 , pp. 550-558
    • Griffeath, D.1
  • 14
    • 0001467526 scopus 로고
    • Stein's method and multinomial approximation
    • LOH, W.-L. (1992) Stein's method and multinomial approximation. Ann. Appl. Prob. 2, 536-554.
    • (1992) Ann. Appl. Prob. , vol.2 , pp. 536-554
    • Loh, W.-L.1
  • 15
    • 84974063152 scopus 로고
    • Improving poisson approximations
    • PEKÖZ , E. AND ROSS, S. M. (1994) Improving Poisson approximations. Prob. Eng. Inf. Sci. 8, 449-462.
    • (1994) Prob. Eng. Inf. Sci. , vol.8 , pp. 449-462
    • Peköz, E.1    Ross, S.M.2
  • 16
    • 21844512398 scopus 로고
    • A simple derivation of exact reliability formulas for linear and circular consecutive-k-of-n:F systems
    • PEKÖZ, E. AND ROSS, S. M. (1995) A simple derivation of exact reliability formulas for linear and circular consecutive-k-of-n:F systems. J. Appl. Prob. 32, 554-557.
    • (1995) J. Appl. Prob. , vol.32 , pp. 554-557
    • Peköz, E.1    Ross, S.M.2
  • 17
    • 0013133747 scopus 로고
    • On coupling of Markov chains
    • PITMAN, J. W. (1976) On coupling of Markov chains. Z. Wahrscheinlichkeitsth. 35, 315-322.
    • (1976) Z. Wahrscheinlichkeitsth. , vol.35 , pp. 315-322
    • Pitman, J.W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.