Estimation of the significance of the correlation of measurements in their mathematical processing
Rubrics: GEODESY
Abstract and keywords
Abstract:
The article considers the possibility of replacing the weight matrix of correlated measurements with an identity matrix commensurate with it and, accordingly, performing an approximate rather than strict adjustment in this case. Criteria for establishing such a possibility are obtained on the basis of the Kantorovich inequality and the relative efficiency of estimates obtained by approximate adjustment. The application of these criteria for processing the performed angular measurements at the station is considered. It is shown that when they are performed according to the method of circular steps, the distribution of the correction for the non-closure of the horizon allows us to consider the angle measurements as equal and uncorrelated with each other.

Keywords:
geodetic measurements, correlation, weight matrix, estimation of calculation accuracy
References

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