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Volumn 28, Issue 1, 2000, Pages 258-276

A functional LIL for symmetric stable processes

Author keywords

Functional LIL; Small ball probabilities; Symmetric stable processes

Indexed keywords


EID: 0034337002     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/aop/1019160119     Document Type: Article
Times cited : (11)

References (12)
  • 1
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    • 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
  • 2
    • 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
  • 3
    • 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. Gebiete 54 287-301.
    • (1980) Z. Wahrsch. Verw. Gebiete , vol.54 , pp. 287-301
    • Csáki, E.1
  • 4
    • 84980138040 scopus 로고
    • On laws of the iterated logarithm for local times
    • DONSKER, M. D. and VARADHAN, S. R. S. (1977). On laws of the iterated logarithm for local times. Comm. Pure Appl. Math. 30 707-753.
    • (1977) Comm. Pure Appl. Math. , vol.30 , pp. 707-753
    • Donsker, M.D.1    Varadhan, S.R.S.2
  • 5
    • 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. Probab. 22 1879-1903.
    • (1994) Ann. Probab. , vol.22 , pp. 1879-1903
    • Kuelbs, J.1    Li, W.V.2    Talagrand, M.3
  • 6
    • 0033273817 scopus 로고    scopus 로고
    • Small deviations for Gaussian Markov processes under the sup-norm
    • LI, W. V. (1998). Small deviations for Gaussian Markov processes under the sup-norm. J. Theoret. Probab. 12 971-984.
    • (1998) J. Theoret. Probab. , vol.12 , pp. 971-984
    • Li, W.V.1
  • 7
    • 0000735690 scopus 로고
    • Characterizations of almost surely continuous p-stable random Fourier series and strongly stationary processes
    • MARCUS, M. B. and PISIER, G. (1984). Characterizations of almost surely continuous p-stable random Fourier series and strongly stationary processes. Acta Math. 152 245-301.
    • (1984) Acta Math. , vol.152 , pp. 245-301
    • Marcus, M.B.1    Pisier, G.2
  • 8
    • 0001482627 scopus 로고
    • Small deviations in a space of trajectories
    • MOGUL'SKII, A. A. (1974). Small deviations in a space of trajectories. Theoret. Probab. Appl. 19 726-736.
    • (1974) Theoret. Probab. Appl. , vol.19 , pp. 726-736
    • Mogul'skii, A.A.1
  • 9
    • 0001732224 scopus 로고
    • The Fourier method for finding the asymptotic behavior of small deviations of a Wiener process
    • MOGUL'SKII, A. A. (1982). The Fourier method for finding the asymptotic behavior of small deviations of a Wiener process. Sibirsk. Mat. Zh. 23 161-174.
    • (1982) Sibirsk. Mat. Zh. , vol.23 , pp. 161-174
    • Mogul'skii, A.A.1
  • 10
    • 0001710237 scopus 로고    scopus 로고
    • Lower tails of self-similar stable processes
    • SAMORODNITSKY, G. (1998). Lower tails of self-similar stable processes. Bernoulli 4 127-142.
    • (1998) Bernoulli , vol.4 , pp. 127-142
    • Samorodnitsky, G.1
  • 11
    • 0001299350 scopus 로고
    • Sample path properties of a transient stable process
    • TAYLOR, S. J. (1967). Sample path properties of a transient stable process. J. Math. Mech. 16 1229-1246.
    • (1967) J. Math. Mech. , vol.16 , pp. 1229-1246
    • Taylor, S.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.