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Journal of Geographical Systems

Erschienen in:

01.10.2016 | Original Article

Formulas for precisely and efficiently estimating the bias and variance of the length measurements

verfasst von: Shuqiang Xue, Yuanxi Yang, Yamin Dang

Erschienen in: Journal of Geographical Systems | Ausgabe 4/2016

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Abstract

Error analysis in length measurements is an important problem in geographic information system and cartographic operations. The distance between two random points—i.e., the length of a random line segment—may be viewed as a nonlinear mapping of the coordinates of the two points. In real-world applications, an unbiased length statistic may be expected in high-precision contexts, but the variance of the unbiased statistic is of concern in assessing the quality. This paper suggesting the use of a k-order bias correction formula and a nonlinear error propagation approach to the distance equation provides a useful way to describe the length of a line. The study shows that the bias is determined by the relative precision of the random line segment, and that the use of the higher-order bias correction is only needed for short-distance applications.

Vorheriger Artikel The properties of tests for spatial effects in discrete Markov chain models of regional income distribution dynamics

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Titel: Formulas for precisely and efficiently estimating the bias and variance of the length measurements
verfasst von: Shuqiang Xue
Yuanxi Yang
Yamin Dang
Publikationsdatum: 01.10.2016
Verlag: Springer Berlin Heidelberg
Erschienen in: Journal of Geographical Systems / Ausgabe 4/2016
Print ISSN: 1435-5930
Elektronische ISSN: 1435-5949
DOI: https://doi.org/10.1007/s10109-016-0235-9

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