Construction D-optimal designs of experiments for linear multiple regression with heteroscedastic observations

Autor: Valery P. Kirlitsa
Jazyk: Belarusian<br />English<br />Russian
Rok vydání: 2019
Předmět:
Zdroj: Журнал Белорусского государственного университета: Математика, информатика, Iss 2, Pp 27-33 (2019)
Druh dokumentu: article
ISSN: 2520-6508
2617-3956
DOI: 10.33581/2520-6508-2019-2-27-33
Popis: 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.
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