NDLI: Solution to some statistical problems with applications on GNSS error distributions

Content Provider	IEEE Xplore Digital Library
Author	Sanchez-Gestido, M. Schlarmann, B.K. Ballereau, A. Crisci, M. Boyero, J.P. Goetzelmann, M.
Copyright Year	2010
Description	Author affiliation: Section TEC-ETN (Head of Section), ESA/ESTEC, Noordwijk, The Netherlands (Crisci, M.) \|\| Section TEC-ETN Galileo GMS Engineering, ESA/ESTEC, Noordwijk, The Netherlands (Schlarmann, B.K.; Ballereau, A.) \|\| GMV, Tres Cantos, Spain (Boyero, J.P.) \|\| Section TEC-ETN (Integrated Support, ESA/ESTEC, Noordwijk, The Netherlands (Sanchez-Gestido, M.) \|\| Business Division Navigation, EADS Astrium GmbH, 81663 München, Germany (Goetzelmann, M.)
Abstract	In order to support a wide range of user applications demanding provision of high accuracy positioning along with the continuous availability of a reliable signal, integrity has been identified as one of the key concepts in the design of GNSS missions. Integrity performances are defined in association to confidence levels on the determination of several accuracy related parameters, representing the probability that the system fails in such a way that provides misleading information. The stringent and diverse demands in terms of Confidence Levels posed by different types of users (aeronautical, maritime, etc) can be taken into account by means of a parametric statistical distribution that bounds the error in the information provided by the system, which is in turn made up from several individual contributors. For convenience and simplicity, several different ways of combining gaussian distributions (with mean and variance parameters as solve-for values) are generally considered for the over-bounding of the cumulative probability of the experimental distribution (CDF-overbounding). This paper describes several solutions to statistical related problems (e.g. explicit formulas for the correlations between different statistical parameters and for the CDF-overbounding of the absolute value of error distributions, when the underlying experimental distribution is known) and the applications to some related statistical new developments. In practical terms this mathematical formulations allows for sensitivity analysis as a function of the variables involved in the estimation of the error bounds along with a sounded approach when dealing with experimental data and a limited number of samples (i.e. long-term characterization of distributions and achievable confidence levels for system operations). As an additional result, experimental error distribution can be classified, for specific definitions of the CDF-overbounding, within just a few categories of distributions, which can then be assessed in a similar way, greatly simplifying the mathematical analysis of the problem.
Starting Page	1
Ending Page	8
File Size	1546320
Page Count	8
File Format	PDF
ISBN	9781424487400
e-ISBN	9781424487417
DOI	10.1109/NAVITEC.2010.5708074
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2010-12-08
Publisher Place	Netherlands
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	CDF-overbounding Correlation GNSS error distributions Global Navigation Satellite Systems Estimation Gaussian distribution Statistical correlation Dispersion Equations Estimation dispersion Order statistics
Content Type	Text
Resource Type	Article

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

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