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The method of estimation presented in the paper is based on the assumption that every measurement result can be a realization of either of two different, random variables (differing from each other in expected values). Supposing it, the functional model v = y - AX is split into two competitive ones v[alpha]= y - AX[alpha] and v[beta]= y - AX[beta], that concern the same vector of observation y (A...
The paper presents basic properties of the VRy-estimation. Some forms of the correcting function and gain functions were proposed. These functions influence substantially the course and properties of the proposed estimation method.
Basic relations between vectors derived from matrix elements are presented in this paper. The transformations are carried out with matrices of transformation. The latter are defined using developing operators, proposed in this work. The role of these operators is to perform a unique transformation of a set of matrices into a block matrix. The vectors described here, their transformations and the developing...
A method of estimation which allows to obtain robust, efficient, invariant and unbiased estimator of the variance coefficient [formula] is derived in the work. The coefficient [formula] occurs in the model of covariance matrix of observation results [formula]. It is assumed that the class of square estimators of the following general form [formula]. The method presended in the paper is the development...
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