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Volumn 15, Issue 4, 2011, Pages 369-379

On the probability distribution of GNSS carrier phase observations

Author keywords

GNSS; Hypothesis tests; Probability distribution; Residual analysis; Sample moments

Indexed keywords

AMBIGUITY RESOLUTION; ATMOSPHERIC CONDITIONS; ATMOSPHERIC EFFECTS; CARRIER-PHASE MEASUREMENT; CARRIER-PHASE OBSERVATIONS; CONTROL PROCEDURES; CYCLE-SLIP DETECTION; DATA SETS; DISTRIBUTIONAL PROPERTY; ESTIMATION RESULTS; GLOBAL NAVIGATION SATELLITE SYSTEMS; GNSS; GRAPHICAL TOOLS; HYPOTHESIS TESTS; LEAST SQUARES METHODS; MULTI-PATH; MULTI-PATH EFFECT; NEAR-FIELD; OBSERVATION CONDITION; OBSERVATIONAL DATA; QUANTILE-QUANTILE PLOT; RELIABILITY ASSESSMENTS; RESIDUAL ANALYSIS; SAMPLE MOMENTS; STATISTICAL INFERENCE; SURFACE METEOROLOGICAL DATA;

EID: 80053111582     PISSN: 10805370     EISSN: 15211886     Source Type: Journal    
DOI: 10.1007/s10291-010-0196-2     Document Type: Article
Times cited : (21)

References (51)
  • 1
    • 84894335482 scopus 로고    scopus 로고
    • Lilliefors test of normality
    • N. J. Salkind (Ed.), CA, USA: Thousand Oaks
    • Abdi H, Molin P (2007) Lilliefors test of normality. In: Salkind NJ (ed) Encyclopedia of measurement and statistics, vol 2. Thousand Oaks, CA, USA.
    • (2007) Encyclopedia of Measurement and Statistics , vol.2
    • Abdi, H.1    Molin, P.2
  • 3
    • 0000923503 scopus 로고
    • Asymptotic theory of certain "goodness-of-fit" criteria based on stochastic processes
    • doi:10.1214/aoms/1177729437
    • Anderson TW, Darling DA (1952) Asymptotic theory of certain "goodness-of-fit" criteria based on stochastic processes. Ann Math Stat 23: 193-212. doi: 10. 1214/aoms/1177729437.
    • (1952) Ann Math Stat , vol.23 , pp. 193-212
    • Anderson, T.W.1    Darling, D.A.2
  • 4
    • 33645462077 scopus 로고    scopus 로고
    • Troposphere mapping functions for GPS and very long baseline interferometry from European Centre for Medium-Range Weather Forecasts operational analysis data
    • doi:10.1029/2005JB003629
    • Boehm J, Werl B, Schuh H (2006) Troposphere mapping functions for GPS and very long baseline interferometry from European Centre for Medium-Range Weather Forecasts operational analysis data. J Geophys Res 111: B02406. doi: 10. 1029/2005JB003629.
    • (2006) J Geophys Res , vol.111
    • Boehm, J.1    Werl, B.2    Schuh, H.3
  • 5
    • 58849125351 scopus 로고    scopus 로고
    • The statistical property of the GNSS carrier phase observations and its effects on the hypothesis testing of the related estimators
    • Fort Worth, TX, USA, Sept 25-28, 2007
    • Cai J, Grafarend E, Hu C (2007) The statistical property of the GNSS carrier phase observations and its effects on the hypothesis testing of the related estimators. In: Proceedings of ION GNSS 2007, Fort Worth, TX, USA, Sept 25-28, 2007, pp 331-338.
    • (2007) Proceedings of ION GNSS 2007 , pp. 331-338
    • Cai, J.1    Grafarend, E.2    Hu, C.3
  • 7
    • 14044251364 scopus 로고    scopus 로고
    • Modified sidereal filtering: implications for high-rate GPS positioning
    • doi:10.1029/2004GL021621
    • Choi K, Bilich A, Larson KM, Axelrad P (2004) Modified sidereal filtering: implications for high-rate GPS positioning. Geophys Res Lett 31: L22608. doi: 10. 1029/2004GL021621.
    • (2004) Geophys Res Lett , vol.31
    • Choi, K.1    Bilich, A.2    Larson, K.M.3    Axelrad, P.4
  • 10
    • 67249144698 scopus 로고    scopus 로고
    • Karl Pearson and the origin of kurtosis
    • doi:10.1111/j.1751-5823.2009.00076.x
    • Fiori AM, Zenga M (2009) Karl Pearson and the origin of kurtosis. Int Stat Rev 77(1): 40-50. doi: 10. 1111/j. 1751-5823. 2009. 00076. x.
    • (2009) Int Stat Rev , vol.77 , Issue.1 , pp. 40-50
    • Fiori, A.M.1    Zenga, M.2
  • 11
    • 41049104694 scopus 로고    scopus 로고
    • A robust modification of the Jarque-Bera test of normality
    • doi:10.1016/j.econlet.2007.05.022
    • Gel YR, Gastwirth JL (2008) A robust modification of the Jarque-Bera test of normality. Econom Lett 99: 30-32. doi: 10. 1016/j. econlet. 2007. 05. 022.
    • (2008) Econom Lett , vol.99 , pp. 30-32
    • Gel, Y.R.1    Gastwirth, J.L.2
  • 12
    • 0023774865 scopus 로고
    • On carrier signal multipath effects in relative GPS positioning
    • Georgiadou Y, Kleusberg A (1988) On carrier signal multipath effects in relative GPS positioning. Man Geod 13: 172-179.
    • (1988) Man Geod , vol.13 , pp. 172-179
    • Georgiadou, Y.1    Kleusberg, A.2
  • 13
    • 0141639826 scopus 로고
    • Der Einfluß einzelner Beobachtungen auf das Ergebnis einer Ausgleichung und die Suche nach Ausreißern in den Beobachtungen
    • Heck B (1981) Der Einfluß einzelner Beobachtungen auf das Ergebnis einer Ausgleichung und die Suche nach Ausreißern in den Beobachtungen. Allgemeine Vermessungs-Nachrichten (AVN) 88: 17-34.
    • (1981) Allgemeine Vermessungs-Nachrichten (AVN) , vol.88 , pp. 17-34
    • Heck, B.1
  • 14
    • 0014549930 scopus 로고
    • Two-quartic tropospheric refractivity profile for correcting satellite data
    • doi:10.1029/JC074i018p04487
    • Hopfield H (1969) Two-quartic tropospheric refractivity profile for correcting satellite data. J Geophys Res 74(18): 4487-4499. doi: 10. 1029/JC074i018p04487.
    • (1969) J Geophys Res , vol.74 , Issue.18 , pp. 4487-4499
    • Hopfield, H.1
  • 16
    • 0002437730 scopus 로고
    • A test for normality of observations and regression residuals
    • Jarque CM, Bera AK (1980) A test for normality of observations and regression residuals. Int Stat Rev 55(2): 163-172.
    • (1980) Int Stat Rev , vol.55 , Issue.2 , pp. 163-172
    • Jarque, C.M.1    Bera, A.K.2
  • 17
    • 31644448595 scopus 로고    scopus 로고
    • A new precision improvement in zenith tropospheric delay estimation by GPS
    • Jin SG, Park PH (2005) A new precision improvement in zenith tropospheric delay estimation by GPS. Current Science 89(6): 997-1000.
    • (2005) Current Science , vol.89 , Issue.6 , pp. 997-1000
    • Jin, S.G.1    Park, P.H.2
  • 18
    • 80053104139 scopus 로고    scopus 로고
    • Quality control techniques and issues in GPS applications: Stochastic modelling and reliability testing
    • international symposium on GPS/GNSS, Jeju, Korea, Nov 7-9, 2001
    • Kim D, Langley RB (2001) Quality control techniques and issues in GPS applications: Stochastic modelling and reliability testing. In: Proceedings of tutorial and domestic session, international symposium on GPS/GNSS, Jeju, Korea, Nov 7-9, 2001, pp 76-85.
    • (2001) Proceedings of tutorial and domestic session , pp. 76-85
    • Kim, D.1    Langley, R.B.2
  • 20
    • 36549006170 scopus 로고    scopus 로고
    • Improving the precision of high-rate GPS
    • doi:10.1029/2006JB004367
    • Larson KM, Bilich A, Axelrad P (2007) Improving the precision of high-rate GPS. J Geophys Res Solid Earth 112: B05422. doi: 10. 1029/2006JB004367.
    • (2007) J Geophys Res Solid Earth , vol.112
    • Larson, K.M.1    Bilich, A.2    Axelrad, P.3
  • 22
    • 34247990255 scopus 로고
    • On the Kolmogorov-Smirnov test for normality with mean and variance unknown
    • Lilliefors HW (1967) On the Kolmogorov-Smirnov test for normality with mean and variance unknown. J Am Stat Ass 62: 399-402.
    • (1967) J Am Stat Ass , vol.62 , pp. 399-402
    • Lilliefors, H.W.1
  • 23
    • 84884380234 scopus 로고    scopus 로고
    • Improving the stochastic model of GNSS observations by means of SNR-based weighting
    • In: Petrov BN, Csaki F (eds), Proceedings of the 2007 IAG general assembly, Perugia, Italy, July 2-13, 2007, IAG Symposia, doi: 10. 1007/978-3-540-85426-5_83
    • Luo X, Mayer M, Heck B (2008) Improving the stochastic model of GNSS observations by means of SNR-based weighting. In: Petrov BN, Csaki F (eds) Observing our changing Earth. Proceedings of the 2007 IAG general assembly, Perugia, Italy, July 2-13, 2007, IAG Symposia, vol 133, pp 725-734. doi: 10. 1007/978-3-540-85426-5_83.
    • (2008) Observing our changing Earth , vol.133 , pp. 725-734
    • Luo, X.1    Mayer, M.2    Heck, B.3
  • 24
    • 80053101664 scopus 로고    scopus 로고
    • Analysing time series of GNSS residuals by means of AR(I)MA processes
    • Rome, Italy, July 6-10, 2009, IAG Symposia (in print)
    • Luo X, Mayer M, Heck, B (2010) Analysing time series of GNSS residuals by means of AR(I)MA processes. In: Proceeding of VII Hotine-Marussi symposium, Rome, Italy, July 6-10, 2009, IAG Symposia (in print).
    • (2010) Proceeding of VII Hotine-Marussi symposium
    • Luo, X.1    Mayer, M.2    Heck, B.3
  • 26
    • 84947384266 scopus 로고
    • Table of percentage points of Kolmogorov statistics
    • Miller LH (1956) Table of percentage points of Kolmogorov statistics. J Am Stat Ass 51(273): 111-121.
    • (1956) J Am Stat Ass , vol.51 , Issue.273 , pp. 111-121
    • Miller, L.H.1
  • 27
    • 77949605667 scopus 로고    scopus 로고
    • Correlation analysis of multipath effects in GPS-code and carrier phase observations
    • doi:10.1179/003962610X12572516251808
    • Nahavandchi H, Joodaki G (2010) Correlation analysis of multipath effects in GPS-code and carrier phase observations. Surv Rev 42(316): 193-206. doi: 10. 1179/003962610X12572516251808.
    • (2010) Surv Rev , vol.42 , Issue.316 , pp. 193-206
    • Nahavandchi, H.1    Joodaki, G.2
  • 28
    • 0029776186 scopus 로고    scopus 로고
    • Global mapping functions for the atmosphere delay at radio wavelengths
    • doi:10.1029/95JB03048
    • Niell AE (1996) Global mapping functions for the atmosphere delay at radio wavelengths. J Geophys Res 101: 3227-3246. doi: 10. 1029/95JB03048.
    • (1996) J Geophys Res , vol.101 , pp. 3227-3246
    • Niell, A.E.1
  • 32
    • 51649185407 scopus 로고
    • Contribution to the theory of atmospheric refraction
    • doi:10.1007/BF02522083
    • Saastamoinen J (1973) Contribution to the theory of atmospheric refraction. Bull Geod 107(1): 13-34. doi: 10. 1007/BF02522083.
    • (1973) Bull Geod , vol.107 , Issue.1 , pp. 13-34
    • Saastamoinen, J.1
  • 33
    • 54049097610 scopus 로고    scopus 로고
    • A proposal for modelling physical correlations of GPS phase observations
    • doi:10.1007/s00190-008-0211-3
    • Schön S, Brunner FK (2008a) A proposal for modelling physical correlations of GPS phase observations. J Geod 82(10): 601-612. doi: 10. 1007/s00190-008-0211-3.
    • (2008) J Geod , vol.82 , Issue.10 , pp. 601-612
    • Schön, S.1    Brunner, F.K.2
  • 34
    • 37749010717 scopus 로고    scopus 로고
    • Atmospheric turbulence theory applied to GPS phase data
    • doi:10.1007/s00190-007-0156-y
    • Schön S, Brunner FK (2008b) Atmospheric turbulence theory applied to GPS phase data. J Geod 82(1): 47-57. doi: 10. 1007/s00190-007-0156-y.
    • (2008) J Geod , vol.82 , Issue.1 , pp. 47-57
    • Schön, S.1    Brunner, F.K.2
  • 35
    • 85123452028 scopus 로고    scopus 로고
    • 2nd edn., Berlin: Walter de Gruyter
    • Seeber G (2003) Satellite geodesy, 2nd edn. Walter de Gruyter, Berlin.
    • (2003) Satellite Geodesy
    • Seeber, G.1
  • 37
    • 84950622021 scopus 로고
    • EDF statistics for goodness of fit and some comparisons
    • doi:10.2307/2286009
    • Stephens MA (1974) EDF statistics for goodness of fit and some comparisons. J Am Stat Ass 69: 730-737. doi: 10. 2307/2286009.
    • (1974) J Am Stat Ass , vol.69 , pp. 730-737
    • Stephens, M.A.1
  • 39
    • 0345649660 scopus 로고    scopus 로고
    • Quality control and GPS
    • In: Teunissen PJG, Kleusberg A (eds), chapter 7, 2nd edn, Springer, Berlin
    • Teunissen PJG (1998) Quality control and GPS. In: Teunissen PJG, Kleusberg A (eds) GPS for Geodesy, chapter 7, 2nd edn, Springer, Berlin.
    • (1998) GPS for Geodesy
    • Teunissen, P.J.G.1
  • 40
    • 0033389993 scopus 로고    scopus 로고
    • An optimality property of the integer least-squares estimator
    • doi:10.1007/s001900050269
    • Teunissen PJG (1999a) An optimality property of the integer least-squares estimator. J Geod 73(11): 587-593. doi: 10. 1007/s001900050269.
    • (1999) J Geod , vol.73 , Issue.11 , pp. 587-593
    • Teunissen, P.J.G.1
  • 41
    • 0032726067 scopus 로고    scopus 로고
    • The probability distribution of the GPS baseline for a class of integer ambiguity estimators
    • doi:10.1007/s001900050244
    • Teunissen PJG (1999b) The probability distribution of the GPS baseline for a class of integer ambiguity estimators. J Geod 73(5): 275-284. doi: 10. 1007/s001900050244.
    • (1999) J Geod , vol.73 , Issue.5 , pp. 275-284
    • Teunissen, P.J.G.1
  • 42
    • 0034080830 scopus 로고    scopus 로고
    • The success rate and precision of GPS ambiguities
    • doi:10.1007/s001900050289
    • Teunissen PJG (2000) The success rate and precision of GPS ambiguities. J Geod 74(3-4): 321-326. doi: 10. 1007/s001900050289.
    • (2000) J Geod , vol.74 , Issue.3-4 , pp. 321-326
    • Teunissen, P.J.G.1
  • 43
    • 0036168872 scopus 로고    scopus 로고
    • The parameter distributions of the integer GPS model
    • doi:10.1007/s001900100223
    • Teunissen PJG (2002) The parameter distributions of the integer GPS model. J Geod 76(1): 41-48. doi: 10. 1007/s001900100223.
    • (2002) J Geod , vol.76 , Issue.1 , pp. 41-48
    • Teunissen, P.J.G.1
  • 44
    • 0001867934 scopus 로고    scopus 로고
    • Weighting GPS dual frequency observations: Bearing the cross of cross-correlation
    • doi:10.1007/PL00000033
    • Teunissen PJG, Jonkman NF, Tiberius CCJM (1998) Weighting GPS dual frequency observations: Bearing the cross of cross-correlation. GPS Solut 2(2): 28-37. doi: 10. 1007/PL00000033.
    • (1998) GPS Solut , vol.2 , Issue.2 , pp. 28-37
    • Teunissen, P.J.G.1    Jonkman, N.F.2    Tiberius, C.C.J.M.3
  • 46
  • 47
    • 32544454149 scopus 로고    scopus 로고
    • On the probability density function of the GNSS ambiguity residuals
    • doi:10.1007/s10291-005-0148-4
    • Verhagen S, Teunissen PJG (2006) On the probability density function of the GNSS ambiguity residuals. GPS Solut 10(1): 21-28. doi: 10. 1007/s10291-005-0148-4.
    • (2006) GPS Solut , vol.10 , Issue.1 , pp. 21-28
    • Verhagen, S.1    Teunissen, P.J.G.2
  • 49
    • 22144459084 scopus 로고    scopus 로고
    • Ionospheric disturbance indices for RTK and network RTK positioning
    • Long Beach, CA, USA, Sept 21-24, 2004
    • Wanninger L (2004) Ionospheric disturbance indices for RTK and network RTK positioning, In: Proceeding of ION GNSS 2004, Long Beach, CA, USA, Sept 21-24, 2004, pp 2849-2854.
    • (2004) Proceeding of ION GNSS 2004 , pp. 2849-2854
    • Wanninger, L.1
  • 50
    • 72049116079 scopus 로고    scopus 로고
    • Near-field effects on GNSS sites: analysis using absolute robot calibrations and procedures to determine corrections
    • perspectives and visions for 2010 and beyond, ESOC, Darmstadt, Germany, May 8-12, 2006
    • Wübbena G, Schmitz M, Boettcher G (2006) Near-field effects on GNSS sites: analysis using absolute robot calibrations and procedures to determine corrections. In: Proceeding of the IGS workshop 2006, perspectives and visions for 2010 and beyond, ESOC, Darmstadt, Germany, May 8-12, 2006.
    • (2006) Proceeding of the IGS workshop 2006
    • Wübbena, G.1    Schmitz, M.2    Boettcher, G.3
  • 51
    • 80053107220 scopus 로고    scopus 로고
    • Descriptive statistics/graphical procedures
    • B. S. Everitt and D. C. Howell (Eds.), Chichester: Wiley
    • Wuensch KL (2005) Descriptive statistics/graphical procedures. In: Everitt BS, Howell DC (eds) Encyclopedia of statistics in behavioral science. Wiley, Chichester.
    • (2005) Encyclopedia of Statistics in Behavioral Science
    • Wuensch, K.L.1


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