On a problem of linear extrapolation for homogeneous and isotropic random fields from the observations on a circle

Yu. D. Popov

National Taras Shevchenko University of Kyiv

Abstract: We shall find a linear extrapolation formula for a homogeneous and isotropic plane random field which is observed on $n$ concentric circles. Necessary and sufficient conditions are given for error-free extrapolation of a field with respect to a circle to its center.

UDC: 519.2

Received: 20.10.1967

 English version: Mathematical Notes, 1968, 4:5, 844–849

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