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.
Descriptors:
Subject Categories:
- Statistics and Probability