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).
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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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

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