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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2015, Volume 12, Pages 874–883
DOI: https://doi.org/10.17377/semi.2015.12.074 (Mi semr637) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Probability theory and mathematical statistics

The existence of explicit asymptotically normal estimators of an unknown parameter in a logarithmic regression problem

A. A. Kalenchuka, A. I. Sakhanenkoba

a Novosibirsk State University, Pirogova str., 2, 630090, Novosibirsk, Russia
b Sobolev Institute of Mathematics, pr. Koptyuga, 4, 630090, Novosibirsk, Russia
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DOI: https://doi.org/10.17377/semi.2015.12.074
Abstract: We construct and investigate a class of explicit estimators for the unknown parameter in a logarithmic regression problem. We present general conditions for these estimators to be asymptotically normal. It is the fourth class of non-linear regression problems for which such explicit estimators are found.
Keywords: logarithmic regression, difficulties in the least squares method, explicit estimators of the parameters, asymptotically normal estimators.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-07460_а
13-01-12415 офи_м
Received October 25, 2015, published December 1, 2015
Document Type: Article
UDC: 519.23
MSC: 62F12
Language: Russian
Citation: A. A. Kalenchuk, A. I. Sakhanenko, “The existence of explicit asymptotically normal estimators of an unknown parameter in a logarithmic regression problem”, Sib. Èlektron. Mat. Izv., 12 (2015), 874–883
Citation in format AMSBIB
\Bibitem{KalSak15}
\by A.~A.~Kalenchuk, A.~I.~Sakhanenko
\paper The existence of explicit asymptotically normal estimators of an unknown parameter in a logarithmic regression problem
\jour Sib. \`Elektron. Mat. Izv.
\yr 2015
\vol 12
\pages 874--883
\mathnet{http://mi.mathnet.ru/semr637}
\crossref{https://doi.org/10.17377/semi.2015.12.074}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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