Robust estimation of nonlinear structural models

Denisov, V. I.; Timofeeva, A. Yu.; Khailenko, E. A.; & Buzmakova, O. I. (2014). Robust estimation of nonlinear structural models. Journal of Applied and Industrial Mathematics, 8(1), 28-39.

Citation:

Denisov, V. I.; Timofeeva, A. Yu.; Khailenko, E. A.; & Buzmakova, O. I. (2014). Robust estimation of nonlinear structural models. Journal of Applied and Industrial Mathematics, 8(1), 28-39.

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Abstract:

The problem is considered of identification of nonlinear error-in-variables models under conditions of a heavy contamination of the sample, including the presence of outliers (i.e., anomalous observations). On the basis of robust estimation methods, we propose a development of the algorithms of adjusted and total least squares. This has enabled us to improve the accuracy of the response prediction in the presence of outliers in the sample. The algorithms are used for constructing the Engel curve from the budget survey data. In result, we draw better conclusions about the regularities of the household behavior when the income changes.

URL:

http://dx.doi.org/10.1134/S1990478914010049

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Reference Type:
JOUR

Secondary Title:

Series Title:

Author(s):
Denisov, V. I.
Timofeeva, A. Yu.
Khailenko, E. A.
Buzmakova, O. I.

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Series Author(s):

Year Published:
2014

Date Published:

Journal Name:
Journal of Applied and Industrial Mathematics

Volume Number:
8

Issue Number:
1

Start Page Number:
28-39

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Series Volume:

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ISSN/ISBN:
1990-4789

DOI:
10.1134/S1990478914010049

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Reference ID:
2357

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Robust estimation of nonlinear structural models