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 semi-definite 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