Accession Number:

ADA088330

Title:

On the Almost sure Convergence of Weighted Sums of Random Elements in D(0,1)

Descriptive Note:

Interim rept

Corporate Author:

SOUTH CAROLINA UNIV COLUMBIA DEPT OF MATHEMATICS AND STATISTICS

Personal Author(s):

Report Date:

1980-06-01

Pagination or Media Count:

15.0

Abstract:

The convergence of weighted sums of random elements in D0,1 was obtained by Taylor and Daffer 1979 using a number of conditions such as convex tightness, moment conditions, and others. In this paper both the moment conditions and the tightness conditions are substantially relaxed in obtaining the almost sure convergence of weighted sums of random elements in D0,1. In addition, a brief discussion of the necessary integral conditions will be included which will delineate these results and previous work.

Subject Categories:

  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE