Geodesic
Construction $D$-optimal designs of experiments for linear multiple regression with heteroscedastic observations
Journal of the Belarusian State University. Mathematics and Informatics, Tome 2 (2019), pp. 27-33.

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In article the problem of construction exact $D$-optimal designs of experiments for linear multiple regression in a case when variance of errors of observations depend on a point in which is made is investigated. Class of functions which describe change variance of heteroscedastic observations is defined for which it is possible construct $D$-optimal continues designs of experiments. For linear multiple regression with three factors it is constructed five different types of $D$-optimal continues designs of experiments with heteroscedastic observations. For each of these types the own class of functions describing change variance of observations is defined.
Keywords: exact $D$-optimal designs of experiments; linear multiple regressions; homoscedastic observations; heteroscedastic observations; saturated optimal designs. 
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V. P. Kirlitsa. Construction $D$-optimal designs of experiments for linear multiple regression with heteroscedastic observations. Journal of the Belarusian State University. Mathematics and Informatics, Tome 2 (2019), pp. 27-33. http://geodesic.mathdoc.fr/item/BGUMI_2019_2_a2/

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