D-optimal designs of experiments for trigonometric regression on interval with heteroscedastic observations

Autor: Valery P. Kirlitsa
Jazyk: Belarusian<br />English<br />Russian
Rok vydání: 2020
Předmět:
Zdroj: Журнал Белорусского государственного университета: Математика, информатика, Iss 3, Pp 80-85 (2020)
Druh dokumentu: article
ISSN: 2520-6508
2617-3956
DOI: 10.33581/2520-6508-2020-3-80-85
Popis: 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.
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