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  • 1
    Electronic Resource
    Electronic Resource
    Rates of convergence for increments of Brownian motion (1988)
    Springer
    Journal of theoretical probability 1 (1988), S. 27-63 
    Details
    ISSN: 1572-9230
    Keywords: Brownian motion ; Gaussian measures ; Strassen's law of the iterated logarithm
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The results of this paper concern rates of convergence for increments of Brownian motion. As a by-product we give some improvements of a result of Bolthausen dealing with Strassen's law of the iterated logarithm.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01076287
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    Paper (German National Licenses)
    Fulltext
  • 2
    Electronic Resource
    Electronic Resource
    Small ball estimates for Brownian motion and the Brownian sheet (1993)
    Springer
    Journal of theoretical probability 6 (1993), S. 547-577 
    Details
    ISSN: 1572-9230
    Keywords: Brownian motion ; Brownian sheet ; Gaussian samples ; Hölder norm ; Chung's functional LIL
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Small ball estimates are obtained for Brownian motion and the Brownian sheet when balls are given by certain Hölder norms. As an application of these results we include a functional form of Chung's LIL in this setting.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01066717
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    Paper (German National Licenses)
    Fulltext
  • 3
    Electronic Resource
    Electronic Resource
    Some remarks on a question of Strassen (1996)
    Springer
    Probability theory and related fields 104 (1996), S. 211-229 
    Details
    ISSN: 1432-2064
    Keywords: Mathematics Subject classification: 60B12 ; 60F15 ; 60F17 ; 60G15
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary.  Strassen’s original functional law of the iterated logarithm for partial sums and Brownian motion examined convergence and clustering in the sup-norm. Here we address what happens if we use the much larger H-norm. We provide the answer to a query which appeared at the end of Strassen’s original paper, and also present several contrasting results which are shown to be essentially best possible.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01247838
    Library Location Call Number Volume/Issue/Year Availability
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    Paper (German National Licenses)
    Fulltext
  • 4
    Electronic Resource
    Electronic Resource
    Some remarks on a question of Strassen (1996)
    Springer
    Probability theory and related fields 104 (1996), S. 211-229 
    Details
    ISSN: 1432-2064
    Keywords: 60B12 ; 60F15 ; 60F17 ; 60G15
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary Strassen's original functional law of the iterated logarithm for partial sums and Brownian motion examined convergence and clustering in the sup-norm. Here we address what happens if we use the much larger H-norm. We provide the answer to a query which appeared at the end of Strassen's original paper, and also present several contrasting results which are shown to be essentially best possible.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01247838
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
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