Open AccessD-optimal designs of experiments for trigonometric regression on interval with heteroscedastic observations
Author(s) -
Valery P. Kirlitsa
Publication year - 2020
Publication title -
žurnal belorusskogo gosudarstvennogo universiteta. matematika, informatika/žurnal belorusskogo gosudarstvennogo universiteta. matematika, informatika
Language(s) - English
Resource type - Journals
eISSN - 2617-3956
pISSN - 2520-6508
DOI - 10.33581/2520-6508-2020-3-80-85
Subject(s) - heteroscedasticity , mathematics , variance (accounting) , trigonometry , regression , class (philosophy) , regression analysis , statistics , computer science , mathematical analysis , artificial intelligence , accounting , business
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.