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Reliability theorem application for accuracy statistics determination of differential global positioning system

The accuracy estimation method of determining the position coordinates of temporary navigation systems is well known both in navigation and geodesy as well. The estimation of errors measurements statistics being the random variables enables evaluation some probabilities which are measures of accuracy of the position systems. There are presented the suggestion of three new measures of accuracy of determining the coordinates related to reliability characteristics in that article. In contrast to the common applied approach in which the single measurement error is a random variable, in the presented here approach the distributions of working times and times of failures were taken under statistics estimation. The model of availability was detailed presented. Is enabled to define some new statistics measures related to the navigational solution. Proposed method were applied to DGPS system position statistics, where two campaign (2005, 2009) were compared.APPLICATION OF RELIABILITY THEORY FOR DETERMINING ACCURACY STATISTICS OF THE DIFFERENTIAL GLOBAL POSITIONING SYSTEM
The method of determining the accuracy of position fixing for modern navigation systems is widely known today in both navigation and geodesy.
Determining the statistics of measurement errors – which are random variables – enables the calculation of statistical parameters that define the accuracy of the system.
In this article, three new accuracy characteristics related to reliability characteristics are proposed. In contrast to the current approach, the proposed model relates random variables to system operating times and failure times.
The availability model has been presented in detail. The proposed approach enables the definition of new statistics related to the navigation process. The developed method was applied to DGPS system position solutions, where two measurement campaigns from 2005 and 2009 were compared. (…)

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Source: Logistyka Magazine

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