More efficient methods among commonly used robust estimation methods for GPS coordinate transformation

Ge, Yong; Yuan, Yunbin; Jia, Ning

doi:10.1179/1752270612y.0000000028

Cited by 37 publications

(30 citation statements)

References 14 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The authors analyzed two variants of gross error occurrence: in bearing NR 2 (Fig. 4a) and NR 3 (Fig. 4b).…”

Section: Fig 3 Position Of a Measurement Unit Determined On The Basmentioning

confidence: 99%

“…Although the method of M split estimation is a generalization of a wide class of M-estimation methods, it may be analyzed in a context similar for the classic, robust M-estimation (Wiśniewski 2009, Ge et al 2013). The parameter estimation method in the split functional model presumes that each observation y 1 may be a realization of one out of two competitive random variables (1) (1)Ỹ P X and ( 2) (2)Ỹ P X (Wiśniewski 2009, Zienkiewicz, Baryła 2015.…”

Section: Introductionmentioning

confidence: 99%

“…Therefore, the effect of outliers on the final results of estimated values needs to be eliminated or at least minimized. Currently, the methods relating to robust M-estimation (Yang et al 2002, Guo et al 2010, Ge et al 2013) are predominantly used to this end. Then, it is possible to limit the influence of outliers on the final adjustment with the use of various weight functions, such as Huber's, Hampel's or Danish.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

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

Zienkiewicz

Czaplewski

2017

Polish Maritime Research

View full text Add to dashboard Cite

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 (M split estimation). The studies performed will help in finding out if and in which situations the application of M split 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.

show abstract

“…The authors analyzed two variants of gross error occurrence: in bearing NR 2 (Fig. 4a) and NR 3 (Fig. 4b).…”

Section: Fig 3 Position Of a Measurement Unit Determined On The Basmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

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

Zienkiewicz

Czaplewski

2017

Polish Maritime Research

View full text Add to dashboard Cite

show abstract

“…This paper considers four variants of weight functions of robust M-estimation (see e.g. Krarup, Kubik 1983;Labant et al 2011;Ge et al 2013;Nowel 2016):…”

Section: Robust M-estimationmentioning

confidence: 99%

“…M split estimation, can also be regarded as a method of robust estimation (see e.g. Wiśniewski 2009;Ge et al 2013;Zienkiewicz 2014). Robust methods of observation adjustment, included in the class of M-estimation, are particularly important from the perspective of navigational measurement structures.…”

Section: Introductionmentioning

confidence: 99%

Analysis of A Practical Application of Geodetic Methods of Robust Estimation in a Vessel Positioning Based on Radar Observations

Zienkiewicz

Czaplewski

2017

Proccedings of 10th International Conference "Environmental Engineering"

View full text Add to dashboard Cite

Abstract. This paper analyses whether the application of robust estimation methods can prevent incorrect vessel positioning, thereby improving navigation safety. Empirical analyses were carried out assuming that the observational vector y comprises observations acquired from coastal radar stations operating within the "VTS Gdańsk Bay" system. Particular attention was paid to a situation in which one of observations has a gross error. Numerical tests were carried out considering several variants of the number of redundant observations. Since the significance of the subject matter in this study arises from the dynamism of position changes of a measurement item, measurements cannot be repeated at the same position. For the same reason, it is very important to choose the optimum method of working out the observations. The results of the robust adjustment of radar observations were compared with the results of the conventional least squares method.Keywords: geodetic adjustment, robust estimation, radar navigation.Conference topic: Technologies of geodesy and cadastre. IntroductionVessel tracking systems (VTS) are established in basins with intensive ship traffic and the presence of navigation hazards creates a considerable risk of collision or other maritime disaster. A VTS is established by a marine administrative body of the state with sea access in order to improve navigation safety, environmental protection or to streamline vessel traffic. Depending on the needs, the basin shape and vessel traffic stream, a VTS can include a port and an approach to it (e.g. Rotterdam Port) or an approach to several ports situated close to each other (e.g. Gdańsk Bay), etc. The area covered by the system is usually serviced by the control centre. The main task of each centre is to analyse the navigational situation in the area and VTS centre operators must have complete and precise information on the position of the vessels moving in the basin in which the VTS is established. It is extremely important for an operator to have as precise a position as possible together with an assessment of its quality, for example using satellite systems (see Specht et al. 2015;Specht, Rudnicki 2016). The authors of this paper have analysed modern analytical methods to streamline the work of a VTS operator. The effects of one of the work stages are presented in this paper. VTS Gdańsk Bay, where the theoretical assumptions were verified, has been operating since 1 May 2003. It serves VTS system users and supervises navigation safety within the area of its responsibility. The VTS Gdańsk Bay system was accepted in October 2007 and approved formally during the 83rd session of Maritime Safety Committee IMO. As decided by the IMO's Maritime Safety Committee, the regulation became effective on 1 May 2008. The system has been employing:

show abstract

Transformation model selection by multiple hypotheses testing

Lehmann

2014

J Geod

View full text Add to dashboard Cite

More efficient methods among commonly used robust estimation methods for GPS coordinate transformation

Cited by 37 publications

References 14 publications

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

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

Analysis of A Practical Application of Geodetic Methods of Robust Estimation in a Vessel Positioning Based on Radar Observations

Transformation model selection by multiple hypotheses testing

Contact Info

Product

Resources

About

More efficient methods among commonly used robust estimation methods for GPS coordinate transformation

Cited by 37 publications

References 14 publications

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

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

Analysis of A Practical Application of Geodetic Methods of Robust Estimation in a Vessel Positioning Based on Radar Observations

Transformation model selection by multiple hypotheses testing

Contact Info

Product

Resources

About

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

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