메뉴 건너뛰기




Volumn 12, Issue 2, 1999, Pages 399-420

Chung's Law and the Csáki Function

Author keywords

Large deviation; Wiener process

Indexed keywords


EID: 0033441792     PISSN: 08949840     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1021678111442     Document Type: Article
Times cited : (14)

References (16)
  • 2
    • 21344458710 scopus 로고
    • Rate of convergence in the functional law of the iterated logarithm with non-standard normalizing factors
    • Bulinskii, A. V., and Lifshits M. A. (1995). Rate of convergence in the functional law of the iterated logarithm with non-standard normalizing factors. Russian Math. Surveys 50, 925-944.
    • (1995) Russian Math. Surveys , vol.50 , pp. 925-944
    • Bulinskii, A.V.1    Lifshits, M.A.2
  • 3
    • 84968502795 scopus 로고
    • On the maximum partial sums of sequences of independent random variables
    • Chung, K. L. (1948). On the maximum partial sums of sequences of independent random variables. Trans. Amer. Math. Soc. 64, 205-233.
    • (1948) Trans. Amer. Math. Soc. , vol.64 , pp. 205-233
    • Chung, K.L.1
  • 4
    • 0001509668 scopus 로고
    • A relation between Chung's and Strassen's law of the iterated logarithm
    • Csáki, E. (1980). A relation between Chung's and Strassen's law of the iterated logarithm. Z. Wahrsch. Verw. Geb. 54, 287-301.
    • (1980) Z. Wahrsch. Verw. Geb. , vol.54 , pp. 287-301
    • Csáki, E.1
  • 5
    • 0002819139 scopus 로고
    • A liminf result in Strassen's law of the iterated logarithm
    • Csáki, E. (1989). A liminf result in Strassen's law of the iterated logarithm. Colloq. Math. Soc. Janos Bolyai 57, 83-93.
    • (1989) Colloq. Math. Soc. Janos Bolyai , vol.57 , pp. 83-93
    • Csáki, E.1
  • 6
    • 0000654049 scopus 로고
    • Small deviations in the functional central limit theorem with applications to functional laws of the iterated logarithm
    • De Acosta, A. (1983). Small deviations in the functional central limit theorem with applications to functional laws of the iterated logarithm. Ann. Probab. 11, 78-101.
    • (1983) Ann. Probab. , vol.11 , pp. 78-101
    • De Acosta, A.1
  • 7
    • 34249756049 scopus 로고
    • Clustering behavior of finite variance partial sum processes
    • Einmahl, U., and Goodman, V. (1995). Clustering behavior of finite variance partial sum processes. Prob. Th. Rel. Fields 102, 547-565.
    • (1995) Prob. Th. Rel. Fields , vol.102 , pp. 547-565
    • Einmahl, U.1    Goodman, V.2
  • 8
    • 0000142475 scopus 로고
    • Rates of clustering in Strassen's LIL for Brownian motion
    • Goodman, V., and Kuelbs, J. (1991a). Rates of clustering in Strassen's LIL for Brownian motion. J. Th. Prob. 4, 285-309.
    • (1991) J. Th. Prob. , vol.4 , pp. 285-309
    • Goodman, V.1    Kuelbs, J.2
  • 9
    • 0001855160 scopus 로고
    • Rates of clustering of some Gaussian self-similar processes
    • Goodman, V., and Kuelbs, J. (1991b). Rates of clustering of some Gaussian self-similar processes. Prob. Th. Rel. Fields 88, 47-75.
    • (1991) Prob. Th. Rel. Fields , vol.88 , pp. 47-75
    • Goodman, V.1    Kuelbs, J.2
  • 10
    • 0000079715 scopus 로고
    • A lim inf result in Strassen's law of the iterated logarithm
    • Grill, K. (1991). A lim inf result in Strassen's law of the iterated logarithm. Prob. Th. Rel. Fields 89, 149-157.
    • (1991) Prob. Th. Rel. Fields , vol.89 , pp. 149-157
    • Grill, K.1
  • 11
    • 0011562519 scopus 로고
    • Exact rate of convergence in Strassen's law of the iterated logarithm
    • Grill, K. (1992). Exact rate of convergence in Strassen's law of the iterated logarithm. J. Th. Prob. 5, 197-205.
    • (1992) J. Th. Prob. , vol.5 , pp. 197-205
    • Grill, K.1
  • 13
    • 0001211949 scopus 로고
    • Lim inf results for Gaussian samples and Chung's functional LIL
    • Kuelbs, J., Li, W. V., and Talagrand, M. (1994). Lim inf results for Gaussian samples and Chung's functional LIL. Ann. Prob. 22, 1879-1903.
    • (1994) Ann. Prob. , vol.22 , pp. 1879-1903
    • Kuelbs, J.1    Li, W.V.2    Talagrand, M.3
  • 14
    • 0042283617 scopus 로고
    • A new lower bound for the rate of convergence in Strassen's functional law of the iterated logarithm
    • Mijnheer, J. (1995). A new lower bound for the rate of convergence in Strassen's functional law of the iterated logarithm. Th. of Random Proc. 1(17), 82-85.
    • (1995) Th. of Random Proc. , vol.1 , Issue.17 , pp. 82-85
    • Mijnheer, J.1
  • 15
    • 0000187772 scopus 로고
    • An invariance principle for the law of the iterated logarithm
    • Strassen, V. (1964). An invariance principle for the law of the iterated logarithm. Z. Wahrsch. Verw. Geb. 3, 211-226.
    • (1964) Z. Wahrsch. Verw. Geb. , vol.3 , pp. 211-226
    • Strassen, V.1
  • 16
    • 0011558365 scopus 로고
    • On the rate of clustering in Strassen's LIL for Brownian motion
    • Birkhäuser, Boston
    • Talagrand M. (1992). On the rate of clustering in Strassen's LIL for Brownian motion. In Probability in Banach Spaces, Birkhäuser, Boston 8, 339-347.
    • (1992) Probability in Banach Spaces , vol.8 , pp. 339-347
    • Talagrand, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.