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Analysis of remanent systematic error effects on circuit closures in geodetic spirit levelling
Abstract This paper is a summary of an unpublished paper and it attempts to give a complete solution of the problem posed by the presence of systematic errors in precise spirit levelling, using mathematical statistics. Distribution-free statistics, which do not require the precise knowledge of the distribution of the underlying populations, are used and to this end, a value of the expected systematic error in any given section is isolated from the total discrepancy of the independent mutual levelling operations thus facilitating a plausible least square adjustment of the geodetic network. The problem of weighting is considered in relation to the rank test-statistics. Complete mathematical derivations are not attempted in this summary.
Analysis of remanent systematic error effects on circuit closures in geodetic spirit levelling
Abstract This paper is a summary of an unpublished paper and it attempts to give a complete solution of the problem posed by the presence of systematic errors in precise spirit levelling, using mathematical statistics. Distribution-free statistics, which do not require the precise knowledge of the distribution of the underlying populations, are used and to this end, a value of the expected systematic error in any given section is isolated from the total discrepancy of the independent mutual levelling operations thus facilitating a plausible least square adjustment of the geodetic network. The problem of weighting is considered in relation to the rank test-statistics. Complete mathematical derivations are not attempted in this summary.
Analysis of remanent systematic error effects on circuit closures in geodetic spirit levelling
Sherurah, G. K. (author)
1970
Article (Journal)
Electronic Resource
English
Geodäsie , Geometrie , Geodynamik , Mathematik , Mineralogie
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