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Activity Number: 691
Type: Contributed
Date/Time: Thursday, August 8, 2013 : 10:30 AM to 12:20 PM
Sponsor: IMS
Abstract - #309647
Title: Weak Law of Large Number and the Central Limit Theorem in Lorentz-Bochner Spaces
Author(s): Eddy Kwessi*+
Companies: Trinity University
Keywords: Weak Law of Large Numbers ; Central Limit Theorem ; Lorentz-Bochner
Abstract:

In this paper, for a Banach space B, we estimate the Lorentz-Bochner norm of a (Lp,q;B)-valued random variable in terms of its expected value in B and use that estimation to obtain the Weak Law of Large Numbers and the Central Limit Theorem for (Lpq;B)-valued random variables.


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