Geodesic
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. 
@article{SEMR_2015_12_a38,
     author = {A. A. Kalenchuk and A. I. Sakhanenko},
     title = {The existence of explicit asymptotically normal estimators of an unknown parameter in a logarithmic regression problem},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {874--883},
     publisher = {mathdoc},
     volume = {12},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2015_12_a38/}
}
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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/