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Volumn 17, Issue 1, 2010, Pages

Effective number of observations and unbiased estimators of variance for autocorrelated data - An overview

Author keywords

Autocorrelated; Effective number of observations; Estimator; Time series; Unbiased; Variance

Indexed keywords

INSTRUMENTS; MEASUREMENT; TIME SERIES;

EID: 77950405851     PISSN: 08608229     EISSN: None     Source Type: Journal    
DOI: 10.2478/v10178-010-0001-0     Document Type: Article
Times cited : (44)

References (31)
  • 2
    • 33746907511 scopus 로고    scopus 로고
    • Calculation of the uncertainty of the mean of autocorrelated measurements
    • N.F. Zhang: "Calculation of the uncertainty of the mean of autocorrelated measurements". Metrologia, vol. 43, 2006, pp. S276-S281.
    • (2006) Metrologia , vol.43
    • Zhang, N.F.1
  • 3
    • 33846623825 scopus 로고    scopus 로고
    • Upgrading calculating methods of the uncertainty of measurement results in practice
    • (in Polish)
    • M. Dorozhovets, Z.L. Warsza: "Upgrading calculating methods of the uncertainty of measurement results in practice". Przegla{ogonek}d Elektrotechniczny, vol. 83, 2007, pp. 1-13. (in Polish)
    • (2007) Przegla{ogonek}d Elektrotechniczny , vol.83 , pp. 1-13
    • Dorozhovets, M.1    Warsza, Z.L.2
  • 4
    • 34249675767 scopus 로고    scopus 로고
    • Using the autocorrelation function to characterize time series of voltage measurements
    • T.J. Witt: "Using the autocorrelation function to characterize time series of voltage measurements". Metrologia, vol. 44, 2007, pp. 201-209.
    • (2007) Metrologia , vol.44 , pp. 201-209
    • Witt, T.J.1
  • 13
    • 0001413664 scopus 로고
    • Zur Morphologie geophysikalischer Zeitfunktionen
    • in German
    • J. Bartels: "Zur Morphologie geophysikalischer Zeitfunktionen". Sitz.-Ber. Preuss. Akad. Wiss., vol. 30, 1935, pp. 504-522. (in German)
    • (1935) Sitz.-ber. Preuss. Akad. Wiss , vol.30 , pp. 504-522
    • Bartels, J.1
  • 14
    • 0002090748 scopus 로고
    • "The "Effective Number of Independent Observations in an Autocorrelat- ed Time-Series
    • G.V. Bayley, G.M. Hammersley: "The "Effective Number of Independent Observations in an Autocorrelat- ed Time-Series". J. Roy. Stat. Soc. Suppl., vol. 8, 1946, pp. 184-197. http://www.jstor.org/stable/2983560
    • (1946) J. Roy. Stat. Soc. Suppl , vol.8 , pp. 184-197
    • Bayley, G.V.1    Hammersley, G.M.2
  • 15
    • 0345473787 scopus 로고
    • On the equivalent number of independent data
    • in Russian
    • N.A. Bagrov: "On the equivalent number of independent data". Tr. Gidrometeor. Cent., vol. 44, 1969, pp. 3-11. (in Russian).
    • (1969) Tr. Gidrometeor. Cent , vol.44 , pp. 3-11
    • Bagrov, N.A.1
  • 16
    • 0014564090 scopus 로고
    • Spatial Averaging in a Diffuse Sound Field
    • D. Lubman: "Spatial Averaging in a Diffuse Sound Field". J. Acoust. Soc. Am., vol. 46, 1969, pp. 532-534.
    • (1969) J. Acoust. Soc. Am , vol.46 , pp. 532-534
    • Lubman, D.1
  • 17
    • 0001138910 scopus 로고
    • The standard error of time-averaged estimates of climatic means
    • C.E. Leith: "The standard error of time-averaged estimates of climatic means". J. Appl. Meteorol., vol. 12, 1973, pp. 1066-1069.
    • (1973) J. Appl. Meteorol , vol.12 , pp. 1066-1069
    • Leith, C.E.1
  • 18
    • 0009657405 scopus 로고
    • On the significance of the autocorrelation of statistical tests for averages, mean-square deviations and superposed epochs [geophysical data]
    • in German
    • J. Taubenheim: "On the significance of the autocorrelation of statistical tests for averages, mean-square deviations and superposed epochs [geophysical data]". Gerlands Beitr. Geophysik, vol. 83, 1974, pp. 121-128. (in German)
    • (1974) Gerlands Beitr. Geophysik , vol.83 , pp. 121-128
    • Taubenheim, J.1
  • 19
    • 0032454672 scopus 로고    scopus 로고
    • Small sample estimation of the variance of time-averages in climatic time series
    • Z. Şen: "Small sample estimation of the variance of time-averages in climatic time series". Int. J. Climatol., vol. 18, 1998, pp. 1725-1732.
    • (1998) Int. J. Climatol , vol.18 , pp. 1725-1732
    • Şen, Z.1
  • 20
    • 0033492549 scopus 로고    scopus 로고
    • Equivalent Number of Independent Observations: A Review
    • Izvestia AN, in Russian
    • M.I. Fortus: "Equivalent Number of Independent Observations: A Review." Izvestia AN. Fizika Atmosf. Okeana, vol. 35, 1999, 725-733. (in Russian)
    • (1999) Fizika Atmosf. Okeana , vol.35 , pp. 725-733
    • Fortus, M.I.1
  • 21
    • 77950435608 scopus 로고    scopus 로고
    • note
    • That useful approximate form of Eq. (12) was introduced by Bealey and Hammersley [14]. However, because of an error by a factor of two, approximate formulae for neff and νeff given at p. 185 of their paper are incorrect.
  • 22
    • 77950375551 scopus 로고    scopus 로고
    • Podstawowe Problemy Metrologii, Conference materials, Sucha Beskidzka, Poland, 11-14 May, in Polish
    • A. Zieba: "Uncertainty of the mean of correlated observations". Podstawowe Problemy Metrologii, Conference materials, Sucha Beskidzka, Poland, 11-14 May, 2008, pp. 15-24. (in Polish)
    • (2008) Uncertainty of The Mean of Correlated Observations , pp. 15-24
    • Zieba, A.1
  • 24
    • 77950451305 scopus 로고    scopus 로고
    • Page modified on12 Jan. 2010
    • http://en.wikipedia.org/wiki/Unbiased_estimation_of_standard_deviation. Page modified on12 Jan. 2010.
  • 25
    • 77950437227 scopus 로고    scopus 로고
    • note
    • Incorrect version of Eq. (31) is given in Ref. [14]. See remark [21].
  • 26
    • 0002090746 scopus 로고    scopus 로고
    • On the theoretical specification and sampling properties of autocorrelated time-series
    • M.S. Barlett: "On the theoretical specification and sampling properties of autocorrelated time-series". J. Roy. Stat. Soc. Suppl., vol. 8, pp. 27-41.
    • J. Roy. Stat. Soc. Suppl. , vol.8 , pp. 27-41
    • Barlett, M.S.1
  • 27
    • 77950446391 scopus 로고    scopus 로고
    • note
    • A. Zieba, P. Ramza, in preparation.
  • 28
    • 33746929140 scopus 로고    scopus 로고
    • The generalized weighted mean of correlated quantities
    • M.G. Cox, C. Eiø, G. Mana, and F. Pennecchi: "The generalized weighted mean of correlated quantities". Metrologia, vol. 43, 2006, pp. S268-S275.
    • (2006) Metrologia , vol.43
    • Cox, M.G.1    Eiø, C.2    Mana, G.3    Pennecchi, F.4
  • 29
    • 0000773150 scopus 로고
    • The comparison of means when samples consist of spatially autocorrelated observations
    • A.D. Cliff, J.K. Ord: "The comparison of means when samples consist of spatially autocorrelated observations". Environment and Planning A, vol. 7, 1975, pp. 725-734.
    • (1975) Environment and Planning A , vol.7 , pp. 725-734
    • Cliff, A.D.1    Ord, J.K.2
  • 30
    • 0032738634 scopus 로고    scopus 로고
    • The Effective Number of Spatial Degrees of Freedom of a Time-Varying Field
    • C.S. Bretherton, M. Widmann, V.P. Dymnikov, J.M. Wallace, I. Bladé: "The Effective Number of Spatial Degrees of Freedom of a Time-Varying Field". J. Climate, vol. 12, 1999, pp. 1990-2009.
    • (1999) J. Climate , vol.12 , pp. 1990-2009
    • Bretherton, C.S.1    Widmann, M.2    Dymnikov, V.P.3    Wallace, J.M.4    Bladé, I.5
  • 31
    • 58149352865 scopus 로고    scopus 로고
    • Allan variance of time series models for measurement data
    • N.F. Zhang: "Allan variance of time series models for measurement data". Metrologia, vol. 45, 2008, pp. 549-561.
    • (2008) Metrologia , vol.45 , pp. 549-561
    • Zhang, N.F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.