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Optimum designs when the observations are second-order processes

Author

Listed:
  • Spruill, Carl
  • Studden, W. J.

Abstract

Let the process {Y(x,t) : t [epsilon] T} be observable for each x in some compact set X. Assume that Y(x, t) = [theta]0f0(x)(t) + ... + [theta]kfk(x)(t) + N(t) where fi are continuous functions from X into the reproducing kernel Hilbert space H of the mean zero random process N. The optimum designs are characterized by an Elfving's theorem with the closed convex hull of the set {([phi], f(x))H : ||[phi] ||H

Suggested Citation

  • Spruill, Carl & Studden, W. J., 1978. "Optimum designs when the observations are second-order processes," Journal of Multivariate Analysis, Elsevier, vol. 8(2), pages 153-172, June.
    • Handle: RePEc:eee:jmvana:v:8:y:1978:i:2:p:153-172
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