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Sibirskii Matematicheskii Zhurnal, 2006, Volume 47, Number 6, Pages 1372–1400
(Mi smj940)
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This article is cited in 10 scientific papers (total in 10 papers)
Asymptotically optimal estimation in a linear-fractional regression problem with random errors in coefficients
A. I. Sakhanenkoa, Yu. Yu. Linkeb a Ugra State University
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Abstract:
Considering the linear-fractional regression problem with errors in independent variables, we construct and study asymptotically optimal estimators for unknown parameters in the case of violation of the classical regression assumptions (the variances of the observations are different and depend on the unknown parameters).
Keywords:
nonlinear regression, errors in independent variables, two-step estimation method, asymptoticallynormal estimator, consistency.
Received: 30.05.2006
Citation:
A. I. Sakhanenko, Yu. Yu. Linke, “Asymptotically optimal estimation in a linear-fractional regression problem with random errors in coefficients”, Sibirsk. Mat. Zh., 47:6 (2006), 1372–1400; Siberian Math. J., 47:6 (2006), 1128–1153
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https://www.mathnet.ru/eng/smj940 https://www.mathnet.ru/eng/smj/v47/i6/p1372
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Abstract page: | 362 | Full-text PDF : | 96 | References: | 55 |
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