Geodesic
On the detection of the deterministing component of a~random field
Teoriâ veroâtnostej i ee primeneniâ, Tome 19 (1974) no. 3, pp. 533-546

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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. 
@article{TVP_1974_19_3_a5,
     author = {Z. G. Maimin},
     title = {On the detection of the deterministing component of a~random field},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {533--546},
     publisher = {mathdoc},
     volume = {19},
     number = {3},
     year = {1974},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1974_19_3_a5/}
}
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Z. G. Maimin. On the detection of the deterministing component of a~random field. Teoriâ veroâtnostej i ee primeneniâ, Tome 19 (1974) no. 3, pp. 533-546. http://geodesic.mathdoc.fr/item/TVP_1974_19_3_a5/