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Volumn 24, Issue 4, 1996, Pages 2154-2171

On some boundary crossing problems for Gaussian random walks

Author keywords

First exit time; Overshoot; Random walks; Sequential probability ratio test; Wiener Hopf factorization

Indexed keywords


EID: 0030375491     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/aop/1041903223     Document Type: Article
Times cited : (49)

References (11)
  • 1
    • 0040852864 scopus 로고
    • New limit theorems in boundary problems for sums of independent summands
    • In Russian
    • BOROVKOV, A. A. (1962). New limit theorems in boundary problems for sums of independent summands. Siberian Math. J. 3 645-694. (In Russian.)
    • (1962) Siberian Math. J. , vol.3 , pp. 645-694
    • Borovkov, A.A.1
  • 5
    • 4043056524 scopus 로고
    • Asymptotic analysis of distributions in problems with two boundaries I-II
    • LOTOV, V. I. (1979). Asymptotic analysis of distributions in problems with two boundaries I-II. Theory Probab. Appl. 24 480-491; 869-876.
    • (1979) Theory Probab. Appl. , vol.24 , pp. 480-491
    • Lotov, V.I.1
  • 6
    • 0039074646 scopus 로고
    • Asymptotic expansions for a sequential likelihood ratio test
    • LOTOV, V. I. (1987). Asymptotic expansions for a sequential likelihood ratio test. Theory Probab. Appl. 32 57-67.
    • (1987) Theory Probab. Appl. , vol.32 , pp. 57-67
    • Lotov, V.I.1
  • 7
    • 0039074655 scopus 로고
    • An approach to problems with two boundaries
    • (A. N. Shiryaev, ed.). Nauka, Moscow. (In Russian.)
    • LOTOV, V. I. (1989). An approach to problems with two boundaries. In Control of Random Processes (A. N. Shiryaev, ed.). Nauka, Moscow. (In Russian.)
    • (1989) Control of Random Processes
    • Lotov, V.I.1
  • 8
    • 0039074653 scopus 로고
    • A Wiener-Hopf type method for a general random walk with a two-sided boundary
    • KEMPERMAN, J. H. B. (1963). A Wiener-Hopf type method for a general random walk with a two-sided boundary. Ann. Math. Statist. 34 1168-1193.
    • (1963) Ann. Math. Statist. , vol.34 , pp. 1168-1193
    • Kemperman, J.H.B.1
  • 9
    • 0039465502 scopus 로고
    • Factorization methods and boundary problems for sums of random variables given on Markov chains
    • PRESMAN, E. L. (1971). Factorization methods and boundary problems for sums of random variables given on Markov chains. Math. USSR-Izv. 3 815-852.
    • (1971) Math. USSR-Izv. , vol.3 , pp. 815-852
    • Presman, E.L.1
  • 10
    • 0039666669 scopus 로고
    • Distribution of the maximum of a process with independent increments
    • ROGOZIN, B. A. (1969). Distribution of the maximum of a process with independent increments. Siberian Math. J. 10 989-1010.
    • (1969) Siberian Math. J. , vol.10 , pp. 989-1010
    • Rogozin, B.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.