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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Abstract This paper is a summary of an unpublished paper and it attempts to give a complete solution of the problem posed by the presence of systematic errors in precise spirit levelling, using mathematical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Abstract This paper is a summary of an unpublished paper and it attempts to give a complete solution of the problem posed by the presence of systematic errors in precise spirit levelling, using mathematical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. (Autor:in)
1970
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
Geodäsie , Geometrie , Geodynamik , Mathematik , Mineralogie
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