Geodesic
Some statistical aspects of the estimation of parameters of a linear conform transformation
Applications of Mathematics, Tome 15 (1970) no. 3, pp. 190-206.

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In the present paper relations are derived which make it possible to calculate an effective estimate of parameters of a linear conform transformation $T$ and to evaluate estimates of some functions of those parameters. Followong assumptions are considered> 1. Coordinates of the so-called identity points $P_i;i=1,\ldots, N;N>2$, are given. 2. Coordinates of the points $T(P_i), i=1,\ldots, N$ are estimated by the realization of the random vector $Y$ with $2N$ components. The vector $Y$ has a nondiagonal covariance matrix (which means joint determination of the coordinates by indirect measurement).
DOI : 10.21136/AM.1970.103285
Classification : 62H12, 62J05 
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     title = {Some statistical aspects of the estimation of parameters of a linear conform transformation},
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Kubáček, Lubomír. Some statistical aspects of the estimation of parameters of a linear conform transformation. Applications of Mathematics, Tome 15 (1970) no. 3, pp. 190-206. doi : 10.21136/AM.1970.103285. http://geodesic.mathdoc.fr/articles/10.21136/AM.1970.103285/

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