메뉴 건너뛰기




Volumn 377, Issue 1, 2007, Pages 155-165

A note on scaled variance ratio estimation of the Hurst exponent with application to agricultural commodity prices

Author keywords

Agricultural commodity prices; Fractional Brownian motion; Geometric Brownian motion; Scaled variance ratios

Indexed keywords

AGRICULTURAL COMMODITY PRICES; FRACTIONAL BROWNIAN MOTION; GEOMETRIC BROWNIAN MOTION; SCALED VARIANCE RATIOS;

EID: 33846226719     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2006.11.022     Document Type: Article
Times cited : (19)

References (56)
  • 1
    • 0030520821 scopus 로고    scopus 로고
    • Long-term dependence in stock returns
    • J.T. Barkoulas, C.F. Baum, Long-term dependence in stock returns, Econ. Lett. 53 (1996) 253-259.
    • (1996) Econ. Lett. , vol.53 , pp. 253-259
    • Barkoulas, J.T.1    Baum, C.F.2
  • 2
    • 0039542319 scopus 로고    scopus 로고
    • Fractional dynamics in international commodity prices
    • J. Barkoulas, W.C. Labys, J. Onochie, Fractional dynamics in international commodity prices, J. Futures Markets 17 (2) (1997) 161-189.
    • (1997) J. Futures Markets , vol.17 , Issue.2 , pp. 161-189
    • Barkoulas, J.1    Labys, W.C.2    Onochie, J.3
  • 4
    • 0000682805 scopus 로고
    • R/s analysis of foreign exchange rates under two international monetary regimes
    • G.G. Booth, F.R. Kaen, P.F. Koveos, R/S analysis of foreign exchange rates under two International Monetary Regimes, J. Monet. Econ. 10 (1982) 407-415.
    • (1982) J. Monet. Econ. , vol.10 , pp. 407-415
    • Booth, G.G.1    Kaen, F.R.2    Koveos, P.F.3
  • 5
    • 0031497082 scopus 로고    scopus 로고
    • Searching for fractal structure in agricultural futures markets
    • M. Corazza, A.G. Malliaris, C. Nardelli, Searching for fractal structure in agricultural futures markets, J. Futures Markets 17 (4) (1997) 433-473.
    • (1997) J. Futures Markets , vol.17 , Issue.4 , pp. 433-473
    • Corazza, M.1    Malliaris, A.G.2    Nardelli, C.3
  • 6
    • 0034415717 scopus 로고    scopus 로고
    • Memory in return and volatilities of futures contracts
    • N. Crato, B.K. Kay, Memory in return and volatilities of futures contracts, J. Futures Markets 20 (6) (2000) 525-543.
    • (2000) J. Futures Markets , vol.20 , Issue.6 , pp. 525-543
    • Crato, N.1    Kay, B.K.2
  • 7
    • 0010051725 scopus 로고    scopus 로고
    • What color are commodity prices? A fractal analysis
    • J.B. Cromwell, W.C. Labys, E. Kouassi, What color are commodity prices? A fractal analysis, Empirical Econ. 25 (2000) 563-580.
    • (2000) Empirical Econ. , vol.25 , pp. 563-580
    • Cromwell, J.B.1    Labys, W.C.2    Kouassi, E.3
  • 8
    • 0009040449 scopus 로고
    • Stock price returns and the Joseph effect: A fractional version of the Black-Scholes model
    • N.J. Cutland, P.E. Kopp, W. Willinger, Stock price returns and the Joseph effect: a fractional version of the Black-Scholes model, Progr. Probab. 36 (1995) 327-351.
    • (1995) Progr. Probab. , vol.36 , pp. 327-351
    • Cutland, N.J.1    Kopp, P.E.2    Willinger, W.3
  • 9
    • 0033463649 scopus 로고    scopus 로고
    • Modeling nonlinear dynamics of daily futures price changes
    • A.H. Gao, G.H.K. Wang, Modeling nonlinear dynamics of daily futures price changes, J. Futures Markets 19 (3) (1999) 325-351.
    • (1999) J. Futures Markets , vol.19 , Issue.3 , pp. 325-351
    • Gao, A.H.1    Wang, G.H.K.2
  • 10
    • 0001465446 scopus 로고    scopus 로고
    • Long-term dependence in common stock returns
    • M.T. Greene, B.O. Fielitz, Long-term dependence in common stock returns, J. Financial Econ. 4 (1997) 339-349.
    • (1997) J. Financial Econ. , vol.4 , pp. 339-349
    • Greene, M.T.1    Fielitz, B.O.2
  • 12
    • 2142640420 scopus 로고    scopus 로고
    • Fractional integration in agricultural futures price volatilities
    • H.J. Jin, D.L. Frechette, Fractional integration in agricultural futures price volatilities, Am. J. Agric. Econ. 86 (2) (2004) 432-433.
    • (2004) Am. J. Agric. Econ. , vol.86 , Issue.2 , pp. 432-433
    • Jin, H.J.1    Frechette, D.L.2
  • 13
    • 0000140166 scopus 로고
    • Long-term memory in stock market prices
    • A.W. Lo, Long-term memory in stock market prices, Econometrica (59) (1991) 1279-1313.
    • (1991) Econometrica , vol.59 , pp. 1279-1313
    • Lo, A.W.1
  • 14
    • 0001504360 scopus 로고
    • The variation of certain speculative prices
    • B. Mandelbrot, The variation of certain speculative prices, J. Bus. 36 (1963) 394-419.
    • (1963) J. Bus. , vol.36 , pp. 394-419
    • Mandelbrot, B.1
  • 15
    • 27944501305 scopus 로고    scopus 로고
    • Estimating fractal dimension using stable distributions and exploring long memory through ARFIMA models in Athens stock exchange
    • E. Panas, Estimating fractal dimension using stable distributions and exploring long memory through ARFIMA models in Athens stock exchange, Appl. Financial Econ. 11 (2001) 395-402.
    • (2001) Appl. Financial Econ. , vol.11 , pp. 395-402
    • Panas, E.1
  • 19
    • 0036723251 scopus 로고    scopus 로고
    • Estimating long-range dependence: Finance sample properties and confidence intervals
    • R. Weron, Estimating long-range dependence: finance sample properties and confidence intervals, Physica A 312 (2002) 285-299.
    • (2002) Physica A , vol.312 , pp. 285-299
    • Weron, R.1
  • 21
    • 0033471974 scopus 로고    scopus 로고
    • Bilinear stochastic systems with fractional brownian motion input
    • E. Igloi, G. Terdik, Bilinear stochastic systems with fractional brownian motion input, Ann. Appl. Probab. 9 (1) (1999) 46-77.
    • (1999) Ann. Appl. Probab. , vol.9 , Issue.1 , pp. 46-77
    • Igloi, E.1    Terdik, G.2
  • 22
    • 33645665385 scopus 로고    scopus 로고
    • Impact of the sampling rate on the estimation of the parameters of fractional brownian motion
    • Z. Zhu, M. Taqqu, Impact of the sampling rate on the estimation of the parameters of fractional brownian motion, J. Time Series Anal. 27 (3) (2005) 367-380.
    • (2005) J. Time Series Anal. , vol.27 , Issue.3 , pp. 367-380
    • Zhu, Z.1    Taqqu, M.2
  • 23
    • 0003586464 scopus 로고
    • Plenum Publishing Corp. NY
    • J. Feder, Fractals Plenum Publishing Corp. NY, 1988.
    • (1988) Fractals
    • Feder, J.1
  • 25
    • 0000759022 scopus 로고
    • Long-term storage capacity of reservoirs
    • H.E. Hurst, Long-term storage capacity of reservoirs, Trans. Am. Soc. Civil Eng. 116 (1951) 770-799.
    • (1951) Trans. Am. Soc. Civil Eng. , vol.116 , pp. 770-799
    • Hurst, H.E.1
  • 26
    • 84892435708 scopus 로고
    • Robustness of the rescaled range R/S in the measurement of non-cyclic long-run statistical dependence
    • B.B. Mandelbrot, J.R. Wallis, Robustness of the rescaled range R/S in the measurement of non-cyclic long-run statistical dependence, Water Resour. Res. 5 (1969) 321-340.
    • (1969) Water Resour. Res. , vol.5 , pp. 321-340
    • Mandelbrot, B.B.1    Wallis, J.R.2
  • 27
    • 0000501589 scopus 로고
    • Fractional brownian motions fractional noises and applications
    • 4 October
    • B.B. Mandelbrot, J.W. Van Ness, Fractional brownian motions, fractional noises and applications, SIAM Rev. 10 (4 October) (1968) 422-437.
    • (1968) SIAM Rev. , vol.10 , pp. 422-437
    • Mandelbrot, B.B.1    Ness Van, J.W.2
  • 28
    • 0031177376 scopus 로고    scopus 로고
    • Evaluating scaled windowed variance methods for estimating the Hurst coefficient in time series
    • M.J. Cannon, D.B. Percival, D.C. Caccia, G.M. Raymond, J.B. Bassingthwaighte, Evaluating scaled windowed variance methods for estimating the Hurst coefficient in time series, Physica A 241 (1996) 606-626.
    • (1996) Physica A , vol.241 , pp. 606-626
    • Cannon, M.J.1    Percival, D.B.2    Caccia, D.C.3    Raymond, G.M.4    Bassingthwaighte, J.B.5
  • 29
    • 2742566175 scopus 로고    scopus 로고
    • Allometric control of human gait
    • B.J. West, L. Griffin, Allometric control of human gait, Fractals 6 (2) (1998) 101-108.
    • (1998) Fractals , vol.6 , Issue.2 , pp. 101-108
    • West, B.J.1    Griffin, L.2
  • 30
    • 0347386314 scopus 로고    scopus 로고
    • Fractal scaling and the teen birth phenomenon
    • B.J. West, P. Hamilton, D.J. West, Fractal scaling and the teen birth phenomenon, Fractals 7 (2) (1999) 113-122.
    • (1999) Fractals , vol.7 , Issue.2 , pp. 113-122
    • West, B.J.1    Hamilton, P.2    West, D.J.3
  • 31
    • 5244230264 scopus 로고    scopus 로고
    • Integrated approach to the assessment of long run correlation in times series data
    • G. Rangarajan, M. Ding, Integrated approach to the assessment of long run correlation in times series data, Phys. Rev. A 61 (5) (2000) 4991-5001.
    • (2000) Phys. Rev. A , vol.61 , Issue.5 , pp. 4991-5001
    • Rangarajan, G.1    Ding, M.2
  • 33
    • 45549113571 scopus 로고
    • Approach to an irregular time series on the basis of fractal theory
    • T. Higuchi, Approach to an irregular time series on the basis of fractal theory, Physica D 31 (1990) 277-283.
    • (1990) Physica D , vol.31 , pp. 277-283
    • Higuchi, T.1
  • 34
    • 0000798411 scopus 로고
    • Relationship between the fractal dimension and the power law index for a time series: A numerical investigation
    • T. Higuchi, Relationship between the fractal dimension and the power law index for a time series: a numerical investigation, Physica D 46 (1990) 254-264.
    • (1990) Physica D , vol.46 , pp. 254-264
    • Higuchi, T.1
  • 37
    • 0001399448 scopus 로고    scopus 로고
    • Long memory continuous time models
    • F. Comte, E. Renault, Long memory continuous time models, J. Econometr. 73 (1996) 101-149.
    • (1996) J. Econometr. , vol.73 , pp. 101-149
    • Comte, F.1    Renault, E.2
  • 38
    • 0000334217 scopus 로고
    • An intertemporal general equilibrium model of asset prices
    • J.C. Cox, J.E. Ingersoll, S.A. Ross, An intertemporal general equilibrium model of asset prices, Econometrica 53 (1985) 363-384.
    • (1985) Econometrica , vol.53 , pp. 363-384
    • Cox, J.C.1    Ingersoll, J.E.2    Ross, S.A.3
  • 39
    • 84936823605 scopus 로고
    • Permanent and temporary components of stock prices
    • E.F. Fama, K.R. French, Permanent and temporary components of stock prices, J. Polit. Econ. 96 (2) (1988) 246-273.
    • (1988) J. Polit. Econ. , vol.96 , Issue.2 , pp. 246-273
    • Fama, E.F.1    French, K.R.2
  • 40
    • 0031540977 scopus 로고    scopus 로고
    • Arbitrage with fractional brownian motion
    • 1 January
    • L.C.G. Rogers, Arbitrage with fractional brownian motion, Math. Finance 7 (1 January) (1997) 95-105.
    • (1997) Math. Finance , vol.7 , pp. 95-105
    • Rogers, L.C.G.1
  • 41
    • 0347349326 scopus 로고    scopus 로고
    • Fractional Brownian motion random walks and binary market models
    • T. Sottinen, Fractional Brownian motion, random walks and binary market models, Finance Stochast. 5 (2001) 343-355.
    • (2001) Finance Stochast. , vol.5 , pp. 343-355
    • Sottinen, T.1
  • 42
    • 0036239096 scopus 로고    scopus 로고
    • Fractional cointegration: Monte Carlo estimates of critical values with an application
    • P. Sephton, Fractional cointegration: Monte Carlo estimates of critical values with an application, Appl. Financial Econom. 12 (2002) 331-335.
    • (2002) Appl. Financial Econom. , vol.12 , pp. 331-335
    • Sephton, P.1
  • 43
    • 34248483578 scopus 로고
    • The pricing of commodity contracts
    • F. Black, The pricing of commodity contracts, J. Financial Econ. 3 (1976) 167-177.
    • (1976) J. Financial Econ. , vol.3 , pp. 167-177
    • Black, F.1
  • 44
    • 85015692260 scopus 로고
    • The pricing of options and corporate liabilities
    • F. Black, M. Scholes, The pricing of options and corporate liabilities, J. Polit. Econ. 81 (1973) 637-659.
    • (1973) J. Polit. Econ. , vol.81 , pp. 637-659
    • Black, F.1    Scholes, M.2
  • 46
    • 0015602539 scopus 로고
    • The theory of rational options pricing
    • R.C. Merton, The theory of rational options pricing, Bell J. Econ. 4 (1973) 141-183.
    • (1973) Bell J. Econ. , vol.4 , pp. 141-183
    • Merton, R.C.1
  • 47
    • 0016997122 scopus 로고
    • The pricing of uncertain income streams and the pricing of options
    • M. Rubinstein, The pricing of uncertain income streams and the pricing of options, Bell J. Econ. 7 (1979) 407-424.
    • (1979) Bell J. Econ. , vol.7 , pp. 407-424
    • Rubinstein, M.1
  • 48
    • 0028168686 scopus 로고
    • Evaluating rescaled range analysis for time series
    • J.B. Bassingthwaighte, G.M. Raymond, Evaluating rescaled range analysis for time series, Ann. Biomed. Eng. 22 (1994) 432-444.
    • (1994) Ann. Biomed. Eng. , vol.22 , pp. 432-444
    • Bassingthwaighte, J.B.1    Raymond, G.M.2
  • 49
    • 0031333281 scopus 로고    scopus 로고
    • Analyzing exact fractal time series: Evaluating dispersional analysis and rescaled range methods
    • D.C. Cassia, D. Percival, M.J. Cannon, G. Raymond, J.B. Basinningthwaighte, Analyzing exact fractal time series: evaluating dispersional analysis and rescaled range methods, Physica A 246 (1997) 609-632.
    • (1997) Physica A , vol.246 , pp. 609-632
    • Cassia, D.C.1    Percival, D.2    Cannon, M.J.3    Raymond, G.4    Basinningthwaighte, J.B.5
  • 51
    • 35348866687 scopus 로고    scopus 로고
    • The sampling properties of hurst exponent estimates
    • In Press
    • C. Ellis, The Sampling Properties of Hurst Exponent Estimates. Physica A In Press, 2006.
    • (2006) Physica A
    • Ellis, C.1
  • 54
    • 34247480179 scopus 로고
    • Testing the null hypothesis of stationarity against the null hypothesis of a unit root
    • D. Kwiatkowski, P.C.B. Phillips, P. Schmidt, Y. Shin, Testing the null hypothesis of stationarity against the null hypothesis of a unit root, J. Econometr. 54 (1992) 159-178.
    • (1992) J. Econometr. , vol.54 , pp. 159-178
    • Kwiatkowski, D.1    Phillips, P.C.B.2    Schmidt, P.3    Shin, Y.4
  • 56
    • 0000251502 scopus 로고    scopus 로고
    • Statistical methodology for non-periodic cycles: From covariance to R/S analysis
    • July 1972
    • B.B. Mandelbrot, Statistical methodology for non-periodic cycles: from covariance to R/S analysis, Ann. Econ. Social Meas. 1 (July) (1972) 259-290.
    • Ann. Econ. Social Meas. , vol.1 , pp. 259-290
    • Mandelbrot, B.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.