Inequalities about Stochastic Processes and Banach Space Valued Random Variables

Zhengyan Lin () and Zhidong Bai ()
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Zhengyan Lin: Zhejiang University, Department of Mathematics
Zhidong Bai: Northeast Normal University, School of Mathematics and Statistics

Chapter Chapter 12 in Probability Inequalities, 2010, pp 158-181 from Springer

Abstract: Abstract In this chapter, we introduce some important inequalities about stochastic processes and Banach space valued random elements. Because the image space of the random elements is more complicated than those for random variables or vectors, the proofs are generally more involved or need specific approaches. Therefore, proofs of some inequalities will be omitted and some references are given.

Keywords: Banach Space; Gaussian Process; Random Element; Geodesic Distance; Gaussian Measure (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-05261-3_12

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DOI: 10.1007/978-3-642-05261-3_12

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