A test of significance for the Helmert-Kubik-Problem of Weight-determination |
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Authors: | O. Remmer |
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Affiliation: | (1) Geodetic Institute, Copenhagen |
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Abstract: | As it has been shown by Kubik it is possible to get an estimate, , of the reciprocal of the weight-matrix in an adjustment problem. If we want to see whether this new estimate differssignificantly from our a priori valueQ 0 it is necessary to know the distribution function of the elements , the ’s being the elements of . This distribution is found in the present article and it is shown that it is not identical with any of the distributions well known from statistical textbooks. Furthermore a way of computing this new distribution is presented. Finally the connection with the chi-square distribution is explored and it is proved that the chi-square-distribution may be used as an approximation for a large number of over-determinations. |
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Keywords: | |
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