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Volumn 2, Issue 2, 1996, Pages 133-143

Approximating the first crossing-time density for a curved boundary

Author keywords

Brownian motion; Curved boundary; First crossing time density; Sequential analysis

Indexed keywords


EID: 0001010784     PISSN: 13507265     EISSN: None     Source Type: Journal    
DOI: 10.3150/bj/1193839220     Document Type: Article
Times cited : (53)

References (12)
  • 1
    • 3843112686 scopus 로고
    • Boundary crossing probabilities for stationary Gaussian processes and Brownian motions
    • Cusick, J. (1981) Boundary crossing probabilities for stationary Gaussian processes and Brownian motions. Trans. Amer. Math. Soc., 263, 469-492.
    • (1981) Trans. Amer. Math. Soc. , vol.263 , pp. 469-492
    • Cusick, J.1
  • 2
    • 0001456827 scopus 로고
    • The minimum of a stationary Markov process superimposed on a U-shaped trend
    • Daniels, H.E. (1969) The minimum of a stationary Markov process superimposed on a U-shaped trend. J. Appl. Probab., 6, 399-408.
    • (1969) J. Appl. Probab. , vol.6 , pp. 399-408
    • Daniels, H.E.1
  • 3
    • 0347921226 scopus 로고
    • The maximum size of a closed epidemic
    • Daniels, H.E. (1974) The maximum size of a closed epidemic. Adv. Appl. Probab. 6, 607-621.
    • (1974) Adv. Appl. Probab. , vol.6 , pp. 607-621
    • Daniels, H.E.1
  • 4
    • 0010762025 scopus 로고
    • Sequential tests constructed from images
    • Daniels, H.E. (1982) Sequential tests constructed from images. Ann. Statist., 10, 394-400.
    • (1982) Ann. Statist. , vol.10 , pp. 394-400
    • Daniels, H.E.1
  • 5
    • 0001003734 scopus 로고
    • The first passage density of the Brownian motion process to a curved boundary (With appendix by D. Williams)
    • Durbin, J. (1992) The first passage density of the Brownian motion process to a curved boundary (with appendix by D. Williams). J. Appl. Probab. 29, 291-304.
    • (1992) J. Appl. Probab. , vol.29 , pp. 291-304
    • Durbin, J.1
  • 6
    • 0000643399 scopus 로고
    • An asymptotic expansion for one-sided Brownian exit densities. Z
    • Ferebee, B. (1983) An asymptotic expansion for one-sided Brownian exit densities. Z. Wahrscheinlichkeitstheorte Verw. Geb., 61, 309-326.
    • (1983) Wahrscheinlichkeitstheorte Verw. Geb. , vol.61 , pp. 309-326
    • Ferebee, B.1
  • 7
    • 0039930322 scopus 로고
    • Second order approximation for Brownian first exit distributions
    • Jennen, C. (1985) Second order approximation for Brownian first exit distributions. Ann. Probab., 1, 126-144.
    • (1985) Ann. Probab. , vol.1 , pp. 126-144
    • Jennen, C.1
  • 8
    • 0344965934 scopus 로고
    • First exit densities of Brownian motion through one-sided moving boundaries
    • Jennen, C. and Lerche, H.R. (1981) First exit densities of Brownian motion through one-sided moving boundaries. Z. Wahrschetnlichkeitstheorie Verw. Geb., 55, 133-148.
    • (1981) Z. Wahrschetnlichkeitstheorie Verw. Geb. , vol.55 , pp. 133-148
    • Jennen, C.1    Lerche, H.R.2
  • 9
    • 0001572711 scopus 로고
    • Passage time distributions for Gauss Markov (Omstein-Uhlenbeck) statistical processes
    • Providence, RE American Mathematical Society
    • Keilson, J. and Ross, H.F. (1975) Passage time distributions for Gauss Markov (Omstein-Uhlenbeck) statistical processes. In Selected Tables in Mathematical Statistics, Vol. 3, pp. 233-327. Providence, RE American Mathematical Society.
    • (1975) Selected Tables in Mathematical Statistics , vol.3 , pp. 233-327
    • Keilson, J.1    Ross, H.F.2
  • 11
    • 0039668276 scopus 로고
    • The hazard rate tangent approximation for boundary hitting times
    • Roberts, G.O. and Shortland, C.F. (1995) The hazard rate tangent approximation for boundary hitting times. Annals of Applied Probability, 5, 446-460.
    • (1995) Annals of Applied Probability , vol.5 , pp. 446-460
    • Roberts, G.O.1    Shortland, C.F.2
  • 12
    • 0000571608 scopus 로고
    • Almost sure behavior of sums of independent random variables and martingales
    • L. Le Cam and J. Neyman, Berkeley: University of California Press
    • Strassen, V. (1967) Almost sure behavior of sums of independent random variables and martingales. In L. Le Cam and J. Neyman (eds), Proc. Fifth Berkeley Symposium, II, Vol. I, pp. 315-343. Berkeley: University of California Press
    • (1967) Proc. Fifth Berkeley Symposium, II , vol.I , pp. 315-343
    • Strassen, V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.