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Weight coefficients in the weighted least squares method

Авторы: Bychkov I.V., Zorkaltsev V.I., Kazazaeva A.V.

Журнал: Numerical Analysis and Applications

Том: 8

Номер: 3

Год: 2015

Отчётный год: 2015

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Аннотация: In this paper, a problem of estimating some parameters of linear mathematical models is considered. It is found that by choosing weight coefficients in the least squares method, one can obtain solutions by minimizing any penalty functions of a wide class, including Holder norms. It is proved that a set of solutions obtained by varying the weight coefficients in the least squares method is bounded. Some practical applications of the theoretical results are illustrated by an ecological-mathematical model as an example.

Индексируется WOS: 1

Индексируется Scopus: 1

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