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Higher Moments of Banach Space Valued Random Variables

Higher Moments of Banach Space Valued Random Variables PDF Author: Svante Janson
Publisher: American Mathematical Soc.
ISBN: 1470414651
Category : Mathematics
Languages : en
Pages : 124

Book Description
The authors define the :th moment of a Banach space valued random variable as the expectation of its :th tensor power; thus the moment (if it exists) is an element of a tensor power of the original Banach space. The authors study both the projective and injective tensor products, and their relation. Moreover, in order to be general and flexible, we study three different types of expectations: Bochner integrals, Pettis integrals and Dunford integrals.
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