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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)
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  • 2
    Electronic Resource
    Electronic Resource
    Clustering behavior of finite variance partial sum processes (1995)
    Springer
    Probability theory and related fields 102 (1995), S. 547-565 
    Details
    ISSN: 1432-2064
    Keywords: 60F15 ; 60E07
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary Clustering rates in Strassen's functional law of the iterated logarithm are determined for finite variance partial sum processes in one dimension. A general characterization of these rates, similar to one recently obtained for onedimensional Brownian motion, shows that relatively mild moment conditions on a partial sum process lead to high order clustering rates at certain points of the Strassen set.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01198849
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    Paper (German National Licenses)
    Fulltext
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