Geodesic
$D$-optimal designs of experiments for trigonometric regression on interval with heteroscedastic observations
Journal of the Belarusian State University. Mathematics and Informatics, Tome 3 (2020), pp. 80-85 Cet article a éte moissonné depuis la source Math-Net.Ru

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In article the problem of construction continuous (number of observations is not fixed) $D$-optimal designs of experiments for trigonometric 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 continuous $D$-optimal designs of experiments. For trigonometric regression with three factors it is constructed continuous $D$-optimal designs of experiments with different types heteroscedastic observations. For each of these types the own class of functions describing change variance of observations is defined.
Keywords: continuous $D$-optimal designs of experiments; trigonometric regression; homoscedastic observations; heteroscedastic observations. 
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     author = {V. P. Kirlitsa},
     title = {$D$-optimal designs of experiments for trigonometric regression on interval with heteroscedastic observations},
     journal = {Journal of the Belarusian State University. Mathematics and Informatics},
     pages = {80--85},
     year = {2020},
     volume = {3},
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     url = {http://geodesic.mathdoc.fr/item/BGUMI_2020_3_a7/}
}
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V. P. Kirlitsa. $D$-optimal designs of experiments for trigonometric regression on interval with heteroscedastic observations. Journal of the Belarusian State University. Mathematics and Informatics, Tome 3 (2020), pp. 80-85. http://geodesic.mathdoc.fr/item/BGUMI_2020_3_a7/

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