The statistical property of the GNSS carrier phase observations and its effects on the hypothesis testing of the related estimators

20th International Technical Meeting of the Satellite Division of The Institute of Navigation 2007 ION GNSS 2007

Volumn 1, Issue , 2007, Pages 331-338

  Cai, Jianqing ^a   Grafarend, Erik W ^b   Hu, Congwei ^a  

^a UNIVERSITY OF STUTTGART   (Germany)

^b TONGJI UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ANGULAR DISTRIBUTION; GLOBAL POSITIONING SYSTEM; NAVIGATION; PHASE MEASUREMENT; TESTING;

ATOMIC WEIGHTS; BASIC OBSERVABLES; CARRIER-PHASE MEASUREMENT; CARRIER-PHASE OBSERVATIONS; DATA ANALYSTS; FRACTIONAL PARTS; HIGH-PRECISION; HYPOTHESIS TESTING; STATISTICAL PROPERTIES; VON MISES;

NORMAL DISTRIBUTION;

EID: 58849125351     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (20)

1. Batschelet (1981): Circular Statistics in Biology, Academic Press, London
2. Cai, J. and E. Grafarend (2007): Directional statistics and its application in the hypothesis testing of GPS integer ambiguity resolution, Geophysical Research Abstracts, Vol.9, 08768, 2007, European Geosciences Union
3. Fisher, R. A. (1953): Dispersion on a sphere, Pro. Roy. Soc. Lond. A217 (1953) 295-305
4. Fisher, N. I. (1993): Statistical analysis of circular data, Cambridge University Press (1995)
5. Fisher, N. I., T. Lewis and B. J. J. Embleton (1987): Statistical analysis of spherical data, Cambridge University Press (1987)
6. Gabor, M.J. and R. S. Nerem (2003): Satellite-satellite single-difference phase bias calibration as applied to ambiguity resolution, Navation, Journal of The Institute of Navigation, Vlo. 49 (4)
7. Gao, F., J. Cai and E. Grafarend (2001): Inconsistencies in the Adjustment of Geodetic Measurements and Statistics of Directional Data (Internal report)
8. Grafarend, E. (1970): Verallgemeinerte Methode der kleinsten Quadrate für zyklische Variable, Zeitschrift fur Vermessungswesen (1970) 4: 117-121
9. Grafarend, E. (2006): Linear and Nonlinear Models -Fixed Effects, Random Effects and Mixed Models -Walter de Gruyter, Berlin, New York
10. Jammalamadaka, S.R. and SenGupta, A. (2001): Topics in Circular Statistics, World Scientific, Singapore New Jersey London 2001
11. Keshin, M. (2004): Directional statistics of satellite-satellite single-difference widelane phase biases, Article Satellites, vol. 39 (4)
12. Langley, R. B. (1997). GPS receiver system noise, GPS World (1997) 8 (6): 40-45
13. Mardia, K.V. and P.E. Jupp (1999): Directional statistics, J. Wiley, Chichester (1999)
14. SenGupta, A. and Maitra, R. (1998): On best equivariance and admissibility of simultaneous MLE for mean direction vectors of several Langevin distributions, Ann. Inst. Statist. Math., 50, 715-727
15. Tiberius, C. and K. Borre (1999): Probability distribution of GPS code and phase data, Zeitschrift fur Vermessungswesen (1999) 8: 264-273
16. Tiberius, C. and K. Borre (2000): Are GPS data normally distributed?, in: Schwarz(ed.) Geodesy beyond 2000, International Association of Geodesy Symposia, Vol. 121, Springer 243-248
17. Tiberius, C.J.J.M., Jonkman, N.F. and F. Kenselaar (1999): The stochastics of GPS observables, GPS World (1999) 10(2): 49-54
18. von Mises, R.(1918): Über die "Ganzzahligkeit" der Atomgewichte und verwandte Fragen, Physikalische Zeitschrift (1918) 7: 490-500
19. Watson, G. S. (1986): Some estimation theory on the sphere, Ann. Inst. Statist. Math., 38, 263-275
20. Watson, G. S. (1988): The Langevin distribution on high dimensional sphere, J. Appl. Statist., 15, 123-130