Application of Square Msplit Estimation in Determination of Vessel Position in Coastal Shipping

Open access

Abstract

The main aim of this paper is to assess the possibility of using non-conventional geodetic estimation methods in maritime navigation. The research subject of this paper concerns robust determination of vessel’s position using a method of parameters estimation in the split functional model (Msplit estimation). The studies performed will help in finding out if and in which situations the application of Msplit estimation as the method for determining vessel’s position is beneficial from the perspective of navigation safety. The results obtained were compared with the results of traditional estimation methods, i.e. least squares method and robust M-estimation.

If the inline PDF is not rendering correctly, you can download the PDF file here.

  • 1. Cellmer S. 2015. Least fourth powers: optimisation method favouring outliers. Survey Review Vol. 47(345) pp. 411-417.

  • 2. Czaplewski K. 2004. Positioning with Interactive Navigational Structures Implementation Annual of Navigation Vol. 7.

  • 3. Ge Y. Yuan Y. Jia N. 2013. More efficient methods among commonly used robust estimation methods for GPS coordinate transformation. Survey Review Vol. 45(330) pp. 229-234.

  • 4. Guo J. Ou J. Wang H. 2010. Robust estimation for correlated observation: two local sensitivity - based downweighting strategies. Journal of Geodesy Vol. 84(4) pp.243-250.

  • 5. Hampel F.R. Ronchetti E.M. Rousseuw P.J. Stahel W.A. 1986. Robust statistics. The approach based on influence functions. Wiley New York.

  • 6. Huber P.J. 1964 Robust estimation of location parameter. Annuals of Mathematical Statistics Vol. 43 pp. 1041-1067.

  • 7. Huber P. J. 1981. Robust Statistics. Wiley New York.

  • 8. Kadaj R. 1988. Eineverrallgemeinarte Klasse von Schatzverfahrenmit praktischen Anwendungen. Z Vermessungswesen Vol. 113(4) pp. 157-166.

  • 9. Krarup T. Kubik K. 1983. The Danish Method; experience and philosophy. Deutsche Geodätische Kommissionbei der Bayerischen Akademie der Wissenschaften Reihe A Heft Nr 7 pp. 131-134.

  • 10. Nowel K. 2016. Investigating the efficacy of robust M estimation of deformation from observation differences. Survey Review Vol. 48(346) pp. 21-30.

  • 11. Specht C. Mania M. Skóra M. Specht M. 2015. Accuracy Of The GPS Positioning System In The Context Of Increasing The Number Of Satellites In The Constellation. Polish Maritime Research Vol. 22(2) pp: 9-14.

  • 12. Specht C. RudnickiJ. 2016. A Method For The Assessing Of Reliability Characteristics Relevant To An Assumed Position-Fixing Accuracy In Navigational Positioning Systems. Polish Maritime Research Vol. 23(3) pp-20-27.

  • 13. Świerczyński S. Czaplewski K. 2013. The application of methods of robust M-estimation in establishing ship position in marine traffic surveillance systems based on radar observations. Annual of Navigation Vol. 20 pp.127-147.

  • 14. Świerczyński S. Czaplewski K. 2015. M - estimation as a tool supporting a vessel traffic controller in the VTS system. Polish Maritime Research Vol. 22(3) pp. 3-13.

  • 15. Teunissen P.J.G. 1990. Nonlinear least squares. Manuscripta GeodeticaVol.15 pp. 137-150.

  • 16. Wiśniewski Z. 2009. Estimation of parameters in a split functional model of geodetic observations (Msplit estimation). Journal of Geodesy Vol. 83 pp. 105-120.

  • 17. Wiśniewski Z. 2010. Msplit(q) estimation: estimation of parameters in a multi split functional model of geodetic observations. Journal of Geodesy Vol. 84 pp. 355-372.

  • 18. Wiśniewski Z. 2014. Advanced methods of geodetic adjustment with examples. (in Polish). UWM Publishing Press Olsztyn.

  • 19. Wiśniewski Z. Zienkiewicz M.H. 2016. Shift-M*split estimation in deformation analyses. Journal of Surveying Engineering Vol. 142(4) pp 1-13.

  • 20. Yang Y. Song L. and Xu T. 2002. Robust estimation for correlated observations based on bifactor equivalent weights. Journal of Geodesy Vol. 76 pp. 353-358.

  • 21. Zienkiewicz M.H. (2014) Application of Msplit estimation to determine control points displacements in networks with unstable reference system. Survey Review Vol. 47(342) pp.174 - 180.

  • 22. Zienkiewicz M.H. Baryła R. 2015. Determination of vertical indicators of ground deformation in the Old and Main City of Gdansk area by applying unconventional method of robust estimation. Acta Geodynamica et Geomaterialia Vol. 12 No. 3(179) pp. 249 - 257

Search
Journal information
Impact Factor

IMPACT FACTOR 2018: 1.214
5-year IMPACT FACTOR: 1.086

CiteScore 2018: 1.48

SCImago Journal Rank (SJR) 2018: 0.391
Source Normalized Impact per Paper (SNIP) 2018: 1.141

Cited By
Metrics
All Time Past Year Past 30 Days
Abstract Views 0 0 0
Full Text Views 147 85 3
PDF Downloads 88 67 1