Geodesic
On the criteria of optimality of experimental designs for a~regression model with the random variables
Teoriâ veroâtnostej i ee primeneniâ, Tome 26 (1981) no. 1, pp. 178-182

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An additive regression model containing controlled variables and random variables is considered. The values of random variables before the experiment are unknown. The vector of random variables is supposed to the normally distributed with given mean vector and covariance matrix. We consider the designs of experiments which minimize the mean value of the generalized variance and the mean value of the trace of the covariance matrix of estimates. 
@article{TVP_1981_26_1_a17,
     author = {A. V. Cukanov},
     title = {On the criteria of optimality of experimental designs for a~regression model with the random variables},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {178--182},
     publisher = {mathdoc},
     volume = {26},
     number = {1},
     year = {1981},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1981_26_1_a17/}
}
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A. V. Cukanov. On the criteria of optimality of experimental designs for a~regression model with the random variables. Teoriâ veroâtnostej i ee primeneniâ, Tome 26 (1981) no. 1, pp. 178-182. http://geodesic.mathdoc.fr/item/TVP_1981_26_1_a17/