Geodesic
On improvement of statistical estimators in a power regression problem
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 1901-1912

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We consider a task of estimating an unknown parameter in a special class of nonlinear regression problems. The second step of a two-stage estimation method is presented (with the first step consistent estimators being already obtained). The asymptotic normality of these estimators is proved.
Keywords: non-linear regression, power regression, statistical estimators, asymptotically normal estimators, two-stage estimation, improved estimators. 
@article{SEMR_2019_16_a49,
     author = {E. N. Savinkina and A. I. Sakhanenko},
     title = {On improvement of statistical estimators in a power regression problem},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {1901--1912},
     publisher = {mathdoc},
     volume = {16},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2019_16_a49/}
}
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E. N. Savinkina; A. I. Sakhanenko. On improvement of statistical estimators in a power regression problem. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 1901-1912. http://geodesic.mathdoc.fr/item/SEMR_2019_16_a49/