ADMISSIBLE DESIGNS FOR POLYNOMIAL SPLINE REGRESSION.
Abstract
Given f = (f sub o,...,f sub m) on the closed interval a,b we consider the matrix M(mu) = integral (f'f d mu) for any probability measure mu on the closed interval a,b. The measure mu is called admissible if there does not exist a nu such that M(nu) - M(mu) is positive semi-definite and not equal to 0. A theorem is given.
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1968
- Accession Number
- AD0677298
Entities
People
- D. J. Vanarman
- W. J. Studden
Organizations
- Purdue University