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Teoriya Veroyatnostei i ee Primeneniya, 1974, Volume 19, Issue 3, Pages 533–546 (Mi tvp2925)  
On the detection of the deterministing component of a random field

Z. G. Maimin

Moscow
Full-text PDF (646 kB)
Abstract: The problem of “opitimal” detection of the trend $f(t)$ is considered for the random field $\xi(t)$ defined by equation (1). A system of equations for linear minimax estimates of coefficients of $f(t)$ being obtained, the existence and uniqueness of these estimates are proved.
Received: 01.07.1973
English version:
Theory of Probability and its Applications, 1975, Volume 19, Issue 3, Pages 506–521
DOI: https://doi.org/10.1137/1119058
Bibliographic databases:
Language: Russian
Citation: Z. G. Maimin, “On the detection of the deterministing component of a random field”, Teor. Veroyatnost. i Primenen., 19:3 (1974), 533–546; Theory Probab. Appl., 19:3 (1975), 506–521
Citation in format AMSBIB
\Bibitem{Mai74}
\by Z.~G.~Maimin
\paper On the detection of the deterministing component of a~random field
\jour Teor. Veroyatnost. i Primenen.
\yr 1974
\vol 19
\issue 3
\pages 533--546
\mathnet{http://mi.mathnet.ru/tvp2925}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=368358}
\zmath{https://zbmath.org/?q=an:0315.62040}
\transl
\jour Theory Probab. Appl.
\yr 1975
\vol 19
\issue 3
\pages 506--521
\crossref{https://doi.org/10.1137/1119058}
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