Law of the iterated logarithm for the increments of stable subordinators
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15 صفحه اولOn the law of the iterated logarithm.
The law of the iterated logarithm provides a family of bounds all of the same order such that with probability one only finitely many partial sums of a sequence of independent and identically distributed random variables exceed some members of the family, while for others infinitely many do so. In the former case, the total number of such excesses has therefore a proper probability distribution...
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15 صفحه اولThe law of the iterated logarithm for LNQD sequences
Let [Formula: see text] be a stationary LNQD sequence of random variables with zero means and finite variance. In this paper, by the Kolmogorov type maximal inequality and Stein's method, we establish the result of the law of the iterated logarithm for LNQD sequence with less restriction of moment conditions. We also prove the law of the iterated logarithm for a linear process generated by an L...
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ژورنال
عنوان ژورنال: Stochastic Processes and their Applications
سال: 1988
ISSN: 0304-4149
DOI: 10.1016/0304-4149(88)90102-0