Accession Number:

ADA089928

Title:

Marcinkiewicz-Zygmund Weak Laws of Large Numbers for Unconditional Random Elements in Banach Spaces.

Descriptive Note:

Interim rept.,

Corporate Author:

SOUTH CAROLINA UNIV COLUMBIA DEPT OF MATHEMATICS AND STATISTICS

Personal Author(s):

Report Date:

1980-08-01

Pagination or Media Count:

21.0

Abstract:

Convergence in probability is obtained for random elements in Banach spaces satisfying various distributional conditions including independence, conditional independence, and unconditional semi-basic, and weights. The constant p, 1 or p or 2, is related to a geometric property of the Banach space and to moment conditions. These results relax the usual hypothesis of identical distributions to tightness and are for conditionally independent and unconditionally semi-basic random elements which are more general than independent random elements with zero means.

Subject Categories:

  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE