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Teoriya Veroyatnostei i ee Primeneniya, 1978, Volume 23, Issue 1, Pages 210–215 (Mi tvp3029)  
Short Communications

An admissibility condition of the least square estimator within the class of polynomial estimators

A. V. Kakosyan

Erevan
Full-text PDF (334 kB)
Abstract: It is proved that, in the standard scheme (1.1) of linear regression, the admissibility of the least square estimator within the class of the polynomial equivariant estimators (4) is equivalent to the coincidence of $k+1$ first moments of the errors $\varepsilon_i$ with the corresponding moments of a normal distribution.
Received: 07.04.1975
English version:
Theory of Probability and its Applications, 1978, Volume 23, Issue 1, Pages 201–206
DOI: https://doi.org/10.1137/1123023
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. V. Kakosyan, “An admissibility condition of the least square estimator within the class of polynomial estimators”, Teor. Veroyatnost. i Primenen., 23:1 (1978), 210–215; Theory Probab. Appl., 23:1 (1978), 201–206
Citation in format AMSBIB
\Bibitem{Kak78}
\by A.~V.~Kakosyan
\paper An admissibility condition of the least square estimator within the class of polynomial estimators
\jour Teor. Veroyatnost. i Primenen.
\yr 1978
\vol 23
\issue 1
\pages 210--215
\mathnet{http://mi.mathnet.ru/tvp3029}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=471127}
\zmath{https://zbmath.org/?q=an:0425.62048|0387.62058}
\transl
\jour Theory Probab. Appl.
\yr 1978
\vol 23
\issue 1
\pages 201--206
\crossref{https://doi.org/10.1137/1123023}
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    		Теория вероятностей и ее применения Theory of Probability and its Applications
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