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Strong Limit Theorems for Mixing Random Variables with Values in Hilbert Space and their Applications

Olimjon Sh. SharipovDepartment of Probability Theory, Institute of Mathematics, Uzbek Academy of Sciences, 29, F. Khodjaev str., 700143, Tashkent, Uzbekistan

Birkhäuser Basel eBooksebook platform2003en

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Annotatsiya

We consider strong limit theorems such as bounded and compact laws of the iterated logarithm and an almost sure invariance principle for mixing random variables with values in Hilbert space. Applying these results we prove an almost sure invariance principle for U-statistics as well.

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Mavzular

Probability and Risk Models Stochastic processes and financial applications Fuzzy Systems and Optimization

Identifikatorlar

DOI: 10.1007/978-3-0348-8059-6_10

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