Kolmogorov's Law of the Iterated Logarithm for Banach Space Valued Random Variables.

Abstract

Kolmogorov's version of the law of the iterated logarithm (LIL) for random variables taking values in a real separable Banach space is established. This result has several corollaries dealing with the LIL for independent, identically distributed (i.i.d.) sequences and, in particular, extends some of the recent work of G. Pisier.

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1976
Accession Number
ADA029907

Entities

People

  • J. Kuelbs

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Banach Space
  • Mathematics
  • Random Variables
  • Sequences

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.

Technology Areas

  • Space