The Law of the Iterated Logarithm for Weakly Dependent Hilbert Space Valued Random Variables |
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| Authors: | Sharipov O Sh |
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| Institution: | (1) Romanovskii Institute of Mathematics, Tashkent |
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| Abstract: | We consider the bounded and compact laws of the iterated logarithm for weakly dependent Hilbert space valued random variables. Under optimal moment conditions, we prove the bounded and compact laws of the iterated logarithm for sequences of identically distributed Hilbert space valued random variables satisfying the uniform strong mixing condition. |
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| Keywords: | law of the iterated logarithm Hilbert space valued random variable mixing condition |
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