Moments of the maximum of normed partial sums of random variables with multidimensional indices |
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| Authors: | Allan Gut |
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| Institution: | (1) Department of Mathematics, Uppsala University, Thunbergsvägen 3, S-75238 Uppsala, Sweden |
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| Abstract: | Summary For a set of i.i.d. random variables indexed by the positive integer d-dimensional lattice points we give conditions for the existence of moments of the supremum of normed partial sums, thereby obtaining results related to the Kolmogorov-Marcinkiewicz strong law of large numbers and the law of the iterated logarithm. |
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