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Volumn 25, Issue 1, 2011, Pages 21-33

Simultaneous estimation of the parameters of the Hurst-Kolmogorov stochastic process

Author keywords

Hurst parameter estimators; Hurst phenomenon; Hurst Kolmogorov behaviour; Hydrological estimation; Hydrological statistics; Long term persistence

Indexed keywords

HURST PARAMETER; HURST PHENOMENON; HYDROLOGICAL ESTIMATION; HYDROLOGICAL STATISTICS; KOLMOGOROV; LONG TERM;

EID: 78651515164     PISSN: 14363240     EISSN: 14363259     Source Type: Journal    
DOI: 10.1007/s00477-010-0408-x     Document Type: Article
Times cited : (56)

References (28)
  • 3
    • 51049085803 scopus 로고    scopus 로고
    • Hurst exponent estimation of locally self-similar Gaussian processes using sample quantiles
    • Coeurjolly JF (2008) Hurst exponent estimation of locally self-similar Gaussian processes using sample quantiles. Ann Statist 36(3): 1404-1434.
    • (2008) Ann Statist , vol.36 , Issue.3 , pp. 1404-1434
    • Coeurjolly, J.F.1
  • 4
    • 0002738159 scopus 로고
    • Parameter orthogonality and approximate conditional inference
    • Cox DR, Reid N (1987) Parameter orthogonality and approximate conditional inference. J R Stat Soc Ser B 49(1): 1-39.
    • (1987) J R Stat Soc Ser B , vol.49 , Issue.1 , pp. 1-39
    • Cox, D.R.1    Reid, N.2
  • 6
    • 77951661707 scopus 로고    scopus 로고
    • Trends in timing of low stream flows in Canada: impact of autocorrelation and long-term persistence
    • Ehsanzadeh E, Adamowski K (2010) Trends in timing of low stream flows in Canada: impact of autocorrelation and long-term persistence. Hydrol Process 24: 970-980.
    • (2010) Hydrol Process , vol.24 , pp. 970-980
    • Ehsanzadeh, E.1    Adamowski, K.2
  • 8
    • 54749107215 scopus 로고    scopus 로고
    • A blind method for the estimation of the Hurst exponent in time series: theory application
    • doi:10.1063/1.2976187
    • Esposti F, Ferrario M, Signorini MG (2008) A blind method for the estimation of the Hurst exponent in time series: theory application. Chaos 18(3). doi: 10. 1063/1. 2976187.
    • (2008) Chaos , vol.18 , Issue.3
    • Esposti, F.1    Ferrario, M.2    Signorini, M.G.3
  • 9
    • 24144495470 scopus 로고    scopus 로고
    • Tests of long memory: a bootstrap approach
    • Grau-Carles P (2005) Tests of long memory: a bootstrap approach. Stoch Environ Res Risk Assess 25(1-2): 103-113.
    • (2005) Stoch Environ Res Risk Assess , vol.25 , Issue.1-2 , pp. 103-113
    • Grau-Carles, P.1
  • 10
    • 21744459783 scopus 로고    scopus 로고
    • A maximum likelihood estimator for long-range persistence
    • Guerrero A, Smith L (2005) A maximum likelihood estimator for long-range persistence. Phys A 355(2-4): 619-632.
    • (2005) Phys A , vol.355 , Issue.2-4 , pp. 619-632
    • Guerrero, A.1    Smith, L.2
  • 11
    • 0000759022 scopus 로고
    • Long term storage capacities of reservoirs
    • Hurst HE (1951) Long term storage capacities of reservoirs. Trans ASCE 116: 776-808.
    • (1951) Trans ASCE , vol.116 , pp. 776-808
    • Hurst, H.E.1
  • 12
    • 0001187166 scopus 로고
    • Wienersche Spiralen und einige andere interessante Kurven in Hilbertschen Raum
    • Kolmogorov AE (1940) Wienersche Spiralen und einige andere interessante Kurven in Hilbertschen Raum. Dokl Akad Nauk URSS 26: 115-118.
    • (1940) Dokl Akad Nauk URSS , vol.26 , pp. 115-118
    • Kolmogorov, A.E.1
  • 13
    • 0037324173 scopus 로고    scopus 로고
    • Climate change, the Hurst phenomenon, and hydrological statistics
    • Koutsoyiannis D (2003a) Climate change, the Hurst phenomenon, and hydrological statistics. Hydrol Sci J 48(1): 3-24.
    • (2003) Hydrol Sci J , vol.48 , Issue.1 , pp. 3-24
    • Koutsoyiannis, D.1
  • 17
    • 0017981445 scopus 로고
    • Preservation of the rescaled adjusted range. 1. A reassessment of the Hurst phenomenon
    • McLeod AI, Hippel K (1978) Preservation of the rescaled adjusted range. 1. A reassessment of the Hurst phenomenon. Water Resour Res 14(3): 491-508.
    • (1978) Water Resour Res , vol.14 , Issue.3 , pp. 491-508
    • McLeod, A.I.1    Hippel, K.2
  • 18
    • 38549092693 scopus 로고    scopus 로고
    • Algorithms for linear time series analysis: With R package
    • McLeod AI, Yu H, Krougly Z (2007) Algorithms for linear time series analysis: With R package. J Stat Softw 23(5): 1-26.
    • (2007) J Stat Softw , vol.23 , Issue.5 , pp. 1-26
    • McLeod, A.I.1    Yu, H.2    Krougly, Z.3
  • 19
    • 34147141431 scopus 로고    scopus 로고
    • Estimation of Hurst exponent revisited
    • Mielniczuk J, Wojdyllo P (2007) Estimation of Hurst exponent revisited. Comput Stat Data Anal 51(9): 4510-4525.
    • (2007) Comput Stat Data Anal , vol.51 , Issue.9 , pp. 4510-4525
    • Mielniczuk, J.1    Wojdyllo, P.2
  • 22
    • 0000233505 scopus 로고    scopus 로고
    • Estimators for long range dependence: an empirical study
    • arXiv: 0901.0762v1
    • Rea W, Oxley L, Reale M, Brown J (2009) Estimators for long range dependence: an empirical study. Electronic J Stat. arXiv: 0901. 0762v1.
    • (2009) Electronic J Stat
    • Rea, W.1    Oxley, L.2    Reale, M.3    Brown, J.4
  • 24
    • 21344446855 scopus 로고
    • Gaussian semiparametric estimation of time series with long-range dependence
    • Robinson PM (1995) Gaussian semiparametric estimation of time series with long-range dependence. Ann Stat 23: 1630-1661.
    • (1995) Ann Stat , vol.23 , pp. 1630-1661
    • Robinson, P.M.1
  • 26
    • 0000233505 scopus 로고    scopus 로고
    • Estimators for long-range dependence: an empirical study
    • Taqqu M, Teverovsky V, Willinger W (1995) Estimators for long-range dependence: an empirical study. Fractals 3(4): 785-798.
    • (1995) Fractals , vol.3 , Issue.4 , pp. 785-798
    • Taqqu, M.1    Teverovsky, V.2    Willinger, W.3
  • 27
    • 0036723251 scopus 로고    scopus 로고
    • Estimating long-range dependence: finite sample properties and confidence intervals
    • Weron R (2002) Estimating long-range dependence: finite sample properties and confidence intervals. Phys A 312(1-2): 285-299.
    • (2002) Phys A , vol.312 , Issue.1-2 , pp. 285-299
    • Weron, R.1
  • 28
    • 71149116920 scopus 로고    scopus 로고
    • Scaling properties of the runoff variations in the arid and semi-arid regions of China: a case study of the Yellow River basin
    • Zhang Q, Xu CY, Yang T (2009) Scaling properties of the runoff variations in the arid and semi-arid regions of China: a case study of the Yellow River basin. Stoch Environ Res Risk Assess 23(8): 1103-1111.
    • (2009) Stoch Environ Res Risk Assess , vol.23 , Issue.8 , pp. 1103-1111
    • Zhang, Q.1    Xu, C.Y.2    Yang, T.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.