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Activity Number:
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480
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Type:
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Contributed
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Date/Time:
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Wednesday, August 9, 2006 : 2:00 PM to 3:50 PM
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Sponsor:
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IMS
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| Abstract - #307047 |
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Title:
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Noncommutative Stochastic Convergence of the Bounded Besicovitch Sequence
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Author(s):
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Larisa Shwartz*+ and Genady Grabarnik
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Companies:
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IBM and IBM T. J. Watson Research Center
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Address:
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19 Skyline Drive, Hawthorne, NY, 10532,
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Keywords:
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limit theorems ; non-commutative probability ; operator algebras
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Abstract:
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Non commutative probability becomes one of the most developing areas of probability and statistics. It investigates how probabilistic notions behave in the new environment, environment that allows describing quantum mechanical effects. Different limit theorem where established in this settings. The settings also allow building meaningful stochastic calculus, etc. The paper is concerned with stochastic convergence results, in particularly with stochastic convergence of subsequence averages. We utilize stochastic Banach principle to get stochastic convergence of Chesaro averages over uniform subsequences and averages of bounded Besicovitch sequences.
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