The existence of explicit asymptotically normal estimators of an unknown parameter in a logarithmic regression problem
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 12 (2015), pp. 874-883.

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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.
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A. A. Kalenchuk; A. I. Sakhanenko. The existence of explicit asymptotically normal estimators of an unknown parameter in a logarithmic regression problem. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 12 (2015), pp. 874-883. http://geodesic.mathdoc.fr/item/SEMR_2015_12_a38/

[1] E. Z. Demidenko, Optimizatsiya i regressiya, Nauka, M., 1989 | MR

[2] Yu. Yu. Linke, A. I. Sakhanenko, “Asimptoticheski normalnoe otsenivanie parametra v zadache drobno-lineinoi regressii”, Sibirskii matematicheskii zhurnal, 41:1 (2000), 150–163 | MR | Zbl

[3] K. V. Ermolenko, A. I. Sakhanenko, “Yavnye asimptoticheski normalnye otsenki neizvestnogo parmetra chastichno-lineinoi regressii”, Sibirskie elektronnye matematicheskie izvestiya, 10 (2013), 719–726 | MR | Zbl

[4] E. N. Savinkina, A. I. Sakhanenko, “Yavnye otsenki neizvestnogo parametra v odnoi zadache stepennoi regressii”, Sibirskie elektronnye matematicheskie izvestiya, 11 (2014), 725–733 | Zbl

[5] Fisher R. A., “Theory of statistical estimation”, Proc. Camb. Phil. Soc., 22 (1925), 700–725 | DOI | Zbl