ADMISSIBLE DESIGNS FOR POLYNOMIAL SPLINE REGRESSION.
PURDUE UNIV LAFAYETTE IND DEPT OF STATISTICS
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Given f f sub o,...,f sub m on the closed interval a,b we consider the matrix Mmu integral ff 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 Mnu - Mmu is positive semi-definite and not equal to 0. A theorem is given.
- Statistics and Probability