
Accession Number : AD0677298
Title : ADMISSIBLE DESIGNS FOR POLYNOMIAL SPLINE REGRESSION.
Descriptive Note : Technical rept.,
Corporate Author : PURDUE UNIV LAFAYETTE IND DEPT OF STATISTICS
Personal Author(s) : Studden,W. J. ; VanArman,D. J.
Report Date : OCT 1968
Pagination or Media Count : 31
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 semidefinite and not equal to 0. A theorem is given.
Descriptors : (*EXPERIMENTAL DESIGN, *MEASURE THEORY), REGRESSION ANALYSIS, POLYNOMIALS, DECISION THEORY, THEOREMS
Subject Categories : Statistics and Probability
Distribution Statement : APPROVED FOR PUBLIC RELEASE