A Strong Law of Large Numbers in Banach Spaces of Type Φ

István Fazekas
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István Fazekas: Kossuth University, Department of Mathematics

A chapter in Mathematical Statistics and Probability Theory, 1987, pp 89-97 from Springer

Abstract: Abstract Let Φ and Ψ be Orlicz functions. Some basic properties of Banach spaces of type Φ and of cotype Ψ are established. The Kolmogorov inequality, the three series theorem and Chung’s version of the strong law of large numbers are proved in Banach spaces of type Φ.

Keywords: Banach Space; Orlicz Space; Convex Banach Space; Smooth Banach Space; Orlicz Function (search for similar items in EconPapers)
Date: 1987
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-009-3963-9_8

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DOI: 10.1007/978-94-009-3963-9_8

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