Application of square Msplit estimation in determination of vessel position in coastal shipping

• Autorzy: Zienkiewicz M.H. , Czaplewski K.
• Języki publikacji: EN

Abstrakty

EN

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

• Wydawca: -
• Czasopismo: Polish Maritime Research
• Rocznik: 2017
• Tom: 24
• Numer: 2
• Opis fizyczny: p.3-12,fig.,ref.

Twórcy

autor

Zienkiewicz M.H.

• Department of Geodesy and Oceanography, Gdynia Maritime University, Sedzickiego 19, 81-374 Gdynia, Poland

autor

Czaplewski K.

• Department of Geodesy and Oceanography, Gdynia Maritime University, Sedzickiego 19, 81-374 Gdynia, Poland

Bibliografia

• 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 Naviga-tional Structures Implementation, Annual of Navigation, Vo l . 7.
• 3. Ge Y., Yuan Y., Jia N. 2013. More efficient methods among commonly used robust estimation methods for GPS coor-dinate 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 param-eter. 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 Schatz-verfahrenmit praktischen Anwendungen. Z Vermes-sungswesen, 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 esti-mation of deformation from observation differences. Survey Review, Vol. 48(346), pp. 21-30.
• 11. Specht C., Mania M., Skóra M., Specht M. 2015. Accu-racy 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. Manu-scripta Geodetica,Vol.15, pp. 137-150.
• 16. Wiśniewski Z. 2009. Estimation of parameters in a split f u nct iona l model of geodet ic obser vat ions (Msplit estima-tion). Journal of Geodesy, Vol. 83, pp. 105-120.
• 17. Wi śn iewsk i 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 Publish-ing Press, Olsztyn.
• 19. Wiśniewski Z., Zienkiewicz M.H. 2016. Shift-M*split esti-mation 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 ver t ica l ind icators of g rou nd deformat ion in t he Old a nd Main City of Gdansk area by applying unconventional method of robust estimation. Acta Geodynamica et Geomaterialia, Vol. 12, No. 3(179), pp. 249 - 257

Identyfikatory

DOI

10.1515/pomr-2017-0044