Vol. 28, No. 1, 1969

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On interpolation of q-variate stationary stochastic processes

Habib Salehi

Vol. 28 (1969), No. 1, 183–191

Let Xt be a q-variate stationary stochastic process. Let K be any set of t-values and let Kbe the complement of K. If s Kthe problem of approximating Xs by linear combinations of the Xts with t K and limit of such linear combinations is considered. The best linear predictor and the mean square error matrix are evaluated in the following cases: (1) t takes on all real values, K consists of the integers (2) t is interger-valued, K consists of the odd integers.

Mathematical Subject Classification
Primary: 60.50
Received: 23 October 1967
Published: 1 January 1969
Habib Salehi