Accession Number:

ADA093628

Title:

On Limits of Multivariate B-Splines.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Report Date:

1980-09-01

Pagination or Media Count:

36.0

Abstract:

B-splines occupy a pivotal position in the theory of univariate spline functions. They offer a firm bases for many of the attractive theoretical and practical properties of splines. Therefore any advance in our knowledge concerning the multivariate B-spline should be of some value. The purpose of this paper is to investigate another aspects of multivariate B-splines. We succeed in identifying those distribution functions which are limits of multivariate B-splines Polya distributions. This question was solved in one dimension by Curry and Schoenberg. Some properties of Polya distributions on Rs are also discussed.

Subject Categories:

  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE