This article is cited in 1 paper

Probability theory and mathematical statistics

On improvement of statistical estimators in a power regression problem

E. N. Savinkina^ab, A. I. Sakhanenko<sup>ab

a</sup> Sobolev Institute of Mathematics, 4, Koptyuga ave., Novosibirsk, 630090, Russia
^b Novosibirsk State University, 1, Pirogova str., Novosibirsk, 630090, Russia

Abstract: 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.

UDC: 519.23

MSC: 62F12

Received October 29, 2019, published December 11, 2019

DOI: 10.33048/semi.2019.16.135

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