Moments of Limits of Lightly Trimmed Sums of Random Vectors in the Generalized Domain of Normal Attraction of Non-Gaussian Operator-Stable Laws |
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Authors: | Makoto Maejima |
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Institution: | (1) Department of Mathematics, Keio University, 3-14-1, Hiyoshi, Kohoku-ku, Yokohama, 223, Japan |
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Abstract: | Existence and nonexistence for moments of limiting random vectors of normalized, lightly trimmed sums of random vectors in the generalized domain of normal attraction of non-Gaussian operator-stable laws are studied. The idea of representing the limiting random vectors by infinite series is essentially used in the proofs. |
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Keywords: | Lightly trimmed sum non-Gaussian operator-stable law generalized domain of normal attraction moment tail behavior |
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