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Sibirskii Matematicheskii Zhurnal, 2008, Volume 49, Number 3, Pages 592–619 (Mi smj1865)  
This article is cited in 7 scientific papers (total in 7 papers)

Asymptotically normal estimation in the linear-fractional regression problem with random errors in coefficients

Yu. Yu. Linkea, A. I. Sakhanenkob

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
b Ugra State University
Full-text PDF (451 kB) Citations (7)
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Abstract: We consider the problem of estimating the unknown parameter of the one-dimensional analog of the Michaelis–Menten equation when the independent variables are measured with random errors. We study the behavior of the explicit estimates that we have found earlier in the case of known independent variables and establish almost necessary conditions under which the presence of the random errors does not affect the asymptotic normality of these explicit estimates.
Keywords: nonlinear regression, Michaelis–Menten equation, random errors in independent variables, asymptotically normal estimates.
Received: 25.04.2003
Revised: 20.11.2007
English version:
Siberian Mathematical Journal, 2008, Volume 49, Issue 3, Pages 474–497
DOI: https://doi.org/10.1007/s11202-008-0047-3
Bibliographic databases:
UDC: 519.237.5
Language: Russian
Citation: Yu. Yu. Linke, A. I. Sakhanenko, “Asymptotically normal estimation in the linear-fractional regression problem with random errors in coefficients”, Sibirsk. Mat. Zh., 49:3 (2008), 592–619; Siberian Math. J., 49:3 (2008), 474–497
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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