Higher Moments of Banach Space Valued Random Variables
Oct 2015 · American Mathematical Soc.
Ebook
110
Pages
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About this ebook
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.
About the author
Svante Janson and Sten Kaijser, Uppsala University, Sweden
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