Analysis of Criteria for Accounting Residual Systematic Errors in the Results of Double Equalized Measurements
Year: 2019
Type: article
Abstract: The study of issues of improving the accuracy of geodetic measurements by identifying, recording and minimizing the influence of systematic errors always remain relevant and are in the special attention of geodesists. It is known that when performing double measurements, systematic errors in their differences are partially compensated, but the residual systematic components can be significant.To identify residual systematic errors, there are various criteria, the study of the sensitivity of which to the values of residual systematic errors in the differences of double equal-value measurements depending on the laws of distribution of differences and their number in the sample is devoted to this work. In the article, according to the results of mathematical modeling, it was established that the criteria considered for identifying residual systematic errors in the differences of double equal measurements may have different sensitivity to the average value of differences depending on the number of differences in the sample and the law of their distribution.Based on the results of the analysis performed, the most stable and optimal of the considered criteria is the inequality regulating the absolute value of the average value of the differences in double measurements, which does not exceed one-fifth of the mean square error of these differences. It is established that this criterion is resistant to the number of differences in double measurements in the sample, the law of their distribution, and requires the least amount of calculations as compared with the considered criteria.
Source: Engineering geodesy
Authors: Oleksii Tereshchuk, Serhii Kriachok
Institution: Chernihiv Polytechnic National University
Language: English
Subfield: Civil and Structural Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W2995669261