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Different kinds of sufficiency in the general Gauss-Markov model

In: Mathematica Slovaca, vol. 57, no. 4
Andrzej Kornacki
Detaily:
Rok, strany: 2007, 389 - 392
O článku:
Sufficiency is one of the fundamental notions in mathematical statistics. In connection with the general linear Gauss-Markov model \textbf{GM} \linebreak $(y,Xβ,σ2V)$, there are some modifications of this notion such as \emph{linear sufficiency} (Baksalary and Kala, Drygas) \emph{invariant linearly sufficiency} (Oktaba, Kornacki, Wawrzosek) and \emph{quadratic sufficiency} (Mueller). All these variants denote such transformations of the model \textbf{GM} that preserve properties essential in statistical inference. In the present paper we give mutual relations between above three classes of statistics.
Ako citovať:
ISO 690:
Kornacki, A. 2007. Different kinds of sufficiency in the general Gauss-Markov model. In Mathematica Slovaca, vol. 57, no.4, pp. 389-392. 0139-9918.

APA:
Kornacki, A. (2007). Different kinds of sufficiency in the general Gauss-Markov model. Mathematica Slovaca, 57(4), 389-392. 0139-9918.