메뉴 건너뛰기




Volumn 33, Issue 7, 2004, Pages 1445-1464

Brownian type boundary crossing probabilities for piecewise linear boundary functions

Author keywords

Boundary crossing; Brownian bridge; Brownian motion with drift; Error bounds; Kolmogorov smirnov test; Power function

Indexed keywords

BROWNIAN MOVEMENT; COMPUTATIONAL COMPLEXITY; DIFFERENTIAL EQUATIONS; FUNCTIONS; MULTIVARIABLE CONTROL SYSTEMS;

EID: 3042544337     PISSN: 03610926     EISSN: None     Source Type: Journal    
DOI: 10.1081/STA-120037253     Document Type: Article
Times cited : (8)

References (20)
  • 1
    • 0043101700 scopus 로고
    • Local asymptotic power and efficiency of tests of Kolmogorov-smirnov type
    • Anděl, J. (1967). Local asymptotic power and efficiency of tests of Kolmogorov-Smirnov type. Ann. Math. Statist. 38:1705-1725.
    • (1967) Ann. Math. Statist. , vol.38 , pp. 1705-1725
    • Anděl, J.1
  • 2
    • 51249163242 scopus 로고
    • Remarks on "boundary crossing results for Brownian motion"
    • Deelstra, G. (1994). Remarks on "Boundary crossing results for Brownian motion". Bl. Dtsch. Ges. Versicherungsmath. 21(4): 449-456.
    • (1994) Bl. Dtsch. Ges. Versicherungsmath , vol.21 , Issue.4 , pp. 449-456
    • Deelstra, G.1
  • 3
    • 0000507489 scopus 로고
    • Heuristic approach to the Kolmogorov-smirnov theorems
    • Doob, J. L. (1949). Heuristic approach to the Kolmogorov-Smirnov theorems. Ann. Math. Statist. 20:393-403.
    • (1949) Ann. Math. Statist. , vol.20 , pp. 393-403
    • Doob, J.L.1
  • 4
    • 0001208970 scopus 로고
    • Boundary-crossing probabilities for the Brownian motion and Poisson processes and techniques for computing the power of the Kolmogorov-smirnov test
    • Durbin, J. (1971). Boundary-crossing probabilities for the Brownian motion and Poisson processes and techniques for computing the power of the Kolmogorov-Smirnov test. J. Appl. Prob. 8:431-453.
    • (1971) J. Appl. Prob. , vol.8 , pp. 431-453
    • Durbin, J.1
  • 5
    • 0022023075 scopus 로고
    • The first-passage density of a continuous Gaussian process to a general boundary
    • Durbin, J. (1985). The first-passage density of a continuous Gaussian process to a general boundary. J. Appl. Prob. 22:99-122.
    • (1985) J. Appl. Prob. , vol.22 , pp. 99-122
    • Durbin, J.1
  • 7
    • 38149147782 scopus 로고
    • Two-sample goodness-of-fit tests when ties are present
    • Janssen, A. (1994). Two-sample goodness-of-fit tests when ties are present. J. Stat. Plann. Inference 39:399-424.
    • (1994) J. Stat. Plann. Inference , vol.39 , pp. 399-424
    • Janssen, A.1
  • 8
    • 21844490718 scopus 로고
    • Principal component decomposition of nonparametric tests
    • Janssen, A. (1995). Principal component decomposition of nonparametric tests. Prob. Theory Rel. Fields. 101:193-209.
    • (1995) Prob. Theory Rel. Fields. , vol.101 , pp. 193-209
    • Janssen, A.1
  • 11
    • 2142724574 scopus 로고
    • On certain confidence contours for distribution functions
    • Malmquist, S. (1953). On certain confidence contours for distribution functions. Ann. Math. Statist. 25:523-533.
    • (1953) Ann. Math. Statist. , vol.25 , pp. 523-533
    • Malmquist, S.1
  • 13
    • 0033426760 scopus 로고    scopus 로고
    • Approximations of boundary crossing probabilities for a Brownian motion
    • Novikov, A., Frishling, V., Kordzakhia, N. (1999). Approximations of boundary crossing probabilities for a Brownian motion. J. Appl. Prob. 36:1019-1030.
    • (1999) J. Appl. Prob. , vol.36 , pp. 1019-1030
    • Novikov, A.1    Frishling, V.2    Kordzakhia, N.3
  • 15
    • 0039147560 scopus 로고
    • Boundary crossing probabilities for the Wiener process and sample sums
    • Robbins, H., Siegmund, D. (1970). Boundary crossing probabilities for the Wiener process and sample sums. Ann. Math. Statist. 41: 1410-1429.
    • (1970) Ann. Math. Statist. , vol.41 , pp. 1410-1429
    • Robbins, H.1    Siegmund, D.2
  • 16
    • 0001737603 scopus 로고    scopus 로고
    • On evaluations and asymptotic approximations of first-passage-time probabilities
    • Sacerdote, L., Tomassetti, F. (1996). On evaluations and asymptotic approximations of first-passage-time probabilities. Adv. Appl. Prob. 28:279-284.
    • (1996) Adv. Appl. Prob. , vol.28 , pp. 279-284
    • Sacerdote, L.1    Tomassetti, F.2
  • 17
    • 0005908260 scopus 로고
    • A boundary crossing result for Brownian motion
    • Scheike, T. H. (1992). A boundary crossing result for Brownian motion. J. Appl. Prob. 29:448-453.
    • (1992) J. Appl. Prob. , vol.29 , pp. 448-453
    • Scheike, T.H.1
  • 19
    • 51249169412 scopus 로고
    • Boundary crossing result for the Brownian motion
    • Teunen, M., Goovaerts, M. (1993). Boundary crossing result for the Brownian motion. Bl. Dtsch. Ges. Versicherungsmath. 21 (2): 197-205.
    • (1993) Bl. Dtsch. Ges. Versicherungsmath , vol.21 , Issue.2 , pp. 197-205
    • Teunen, M.1    Goovaerts, M.2
  • 20
    • 0039466554 scopus 로고    scopus 로고
    • Boundary crossing probability for Brownian motion and general boundaries
    • Wang, L., Pötzelberger, K. (1997). Boundary crossing probability for Brownian motion and general boundaries. J. Appl. Prob. 34:54-65.
    • (1997) J. Appl. Prob. , vol.34 , pp. 54-65
    • Wang, L.1    Pötzelberger, K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.