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Volumn 41, Issue 2, 2004, Pages 467-482

Modelling long-range-dependent Gaussian processes with application in continuous-time financial models

Author keywords

Continuous time model; Diffusion process; Long range dependence; Parameter estimation; Stochastic volatility

Indexed keywords


EID: 3242742132     PISSN: 00219002     EISSN: None     Source Type: Journal    
DOI: 10.1239/jap/1082999079     Document Type: Article
Times cited : (23)

References (38)
  • 1
    • 0033175565 scopus 로고    scopus 로고
    • Possible long-range dependence in fractional random fields
    • ANH, V., ANGULO, J. AND RUIZ-MEDINA, M. (1999). Possible long-range dependence in fractional random fields. J. Statist. Planning Infer. 80, 95-110.
    • (1999) J. Statist. Planning Infer. , vol.80 , pp. 95-110
    • Anh, V.1    Angulo, J.2    Ruiz-Medina, M.3
  • 2
    • 0037001043 scopus 로고    scopus 로고
    • Dynamic models of long-memory processes driven by Lévy noise
    • ANH, V. V., HEYDE, C. C. AND LEONENKO, N. N. (2002). Dynamic models of long-memory processes driven by Lévy noise. J. Appl. Prob. 39, 730-747.
    • (2002) J. Appl. Prob. , vol.39 , pp. 730-747
    • Anh, V.V.1    Heyde, C.C.2    Leonenko, N.N.3
  • 3
    • 0008918105 scopus 로고    scopus 로고
    • Special issue of Journal of Econometrics
    • BAILLIE, R. T. AND KING, M. L. (eds) (1996). Special issue of Journal of Econometrics. (Ann. Econom. 73.)
    • (1996) Ann. Econom. , vol.73
    • Baillie, R.T.1    King, M.L.2
  • 4
    • 85015692260 scopus 로고
    • The pricing of options and corporate liabilities
    • BLACK, F. AND SCHOLES, M. (1973). The pricing of options and corporate liabilities. J. Political Econom. 3, 637-654.
    • (1973) J. Political Econom. , vol.3 , pp. 637-654
    • Black, F.1    Scholes, M.2
  • 6
    • 0001399448 scopus 로고    scopus 로고
    • Long memory continuous-time models
    • COMTE, F. AND RENAULT, E. (1996). Long memory continuous-time models. J. Econometrics 73, 101-149.
    • (1996) J. Econometrics , vol.73 , pp. 101-149
    • Comte, F.1    Renault, E.2
  • 7
    • 0032356952 scopus 로고    scopus 로고
    • Long memory in continuous-time stochastic volatility models
    • COMTE, F. AND RENAULT, E. (1998). Long memory in continuous-time stochastic volatility models. Math. Finance 8, 291-323.
    • (1998) Math. Finance , vol.8 , pp. 291-323
    • Comte, F.1    Renault, E.2
  • 8
    • 0001318609 scopus 로고
    • Efficient parameter estimation for self-similar processes
    • DAHLHAUS, R. (1989). Efficient parameter estimation for self-similar processes. Ann. Statist. 17, 1749-1766.
    • (1989) Ann. Statist. , vol.17 , pp. 1749-1766
    • Dahlhaus, R.1
  • 9
    • 0001250871 scopus 로고    scopus 로고
    • Modelling volatility persistence of speculative returns: A new approach
    • DING, Z. AND GRANGER, C. W. J. (1996). Modelling volatility persistence of speculative returns: a new approach. J. Econometrics 73, 185-215.
    • (1996) J. Econometrics , vol.73 , pp. 185-215
    • Ding, Z.1    Granger, C.W.J.2
  • 10
    • 0041059062 scopus 로고
    • A long memory property of stock market returns and a new model
    • DING, Z., GRANGER, C. W. J. AND ENGLE, R. F. (1993). A long memory property of stock market returns and a new model. J. Empirical Finance 1, 83-105.
    • (1993) J. Empirical Finance , vol.1 , pp. 83-105
    • Ding, Z.1    Granger, C.W.J.2    Engle, R.F.3
  • 12
    • 0002188727 scopus 로고
    • Large sample properties of parameter estimates for strongly dependent stationary Gaussian time series
    • Fox, R. AND TAQQU, M. S. (1986). Large sample properties of parameter estimates for strongly dependent stationary Gaussian time series. Ann. Statist. 14, 517-532.
    • (1986) Ann. Statist. , vol.14 , pp. 517-532
    • Fox, R.1    Taqqu, M.S.2
  • 13
    • 0004185784 scopus 로고
    • Cambridge University Press
    • FRISCH, U. (1995). Turbulence. Cambridge University Press.
    • (1995) Turbulence
    • Frisch, U.1
  • 14
    • 0036233503 scopus 로고    scopus 로고
    • Statistical estimation of nonstationary Gaussian processes with long-range dependence and intermittency
    • GAO, J., ANH, V. AND HEYDE, C. (2002). Statistical estimation of nonstationary Gaussian processes with long-range dependence and intermittency. Stoch. Process. Appl. 99, 295-321.
    • (2002) Stoch. Process. Appl. , vol.99 , pp. 295-321
    • Gao, J.1    Anh, V.2    Heyde, C.3
  • 15
    • 0008878384 scopus 로고    scopus 로고
    • Parameter estimation of stochastic processes with long-range dependence and intermittency
    • GAO, J., ANH, V., HEYDE, C. AND TIENG, Q. (2001). Parameter estimation of stochastic processes with long-range dependence and intermittency. J. Time Ser. Anal. 22, 517-535.
    • (2001) J. Time Ser. Anal. , vol.22 , pp. 517-535
    • Gao, J.1    Anh, V.2    Heyde, C.3    Tieng, Q.4
  • 16
    • 3242777563 scopus 로고    scopus 로고
    • A variance reduction technique based on integral representations
    • HEATH, D. AND PLATEN, E. (2002). A variance reduction technique based on integral representations. Quant. Finance 2, 362-369.
    • (2002) Quant. Finance , vol.2 , pp. 362-369
    • Heath, D.1    Platen, E.2
  • 17
    • 0033233850 scopus 로고    scopus 로고
    • A risky asset model with strong dependence through fractal activity time
    • HEYDE, C. (1999). A risky asset model with strong dependence through fractal activity time. J. Appl. Prob. 36, 1234-1239.
    • (1999) J. Appl. Prob. , vol.36 , pp. 1234-1239
    • Heyde, C.1
  • 18
    • 38249002390 scopus 로고
    • Smoothed periodogram asymptotics and estimation for processes and fields with possible long-range dependence
    • HEYDE, C. AND GAY, R. (1993). Smoothed periodogram asymptotics and estimation for processes and fields with possible long-range dependence. Stoch. Process. Appl. 45, 169-182.
    • (1993) Stoch. Process. Appl. , vol.45 , pp. 169-182
    • Heyde, C.1    Gay, R.2
  • 20
    • 0008562738 scopus 로고    scopus 로고
    • Existence and uniqueness theorems for fBm stochastic differential equations
    • KLEPTSYNA, M., KLOEDEN, P. AND ANH, V. (1998). Existence and uniqueness theorems for fBm stochastic differential equations. Problems Inf. Transmission 34, 51-61.
    • (1998) Problems Inf. Transmission , vol.34 , pp. 51-61
    • Kleptsyna, M.1    Kloeden, P.2    Anh, V.3
  • 22
    • 0000642461 scopus 로고
    • On the distribution of stock price differences
    • MANDELBROT, B. AND TAYLOR, H. (1967). On the distribution of stock price differences. Operat. Res. 15, 1057-1062.
    • (1967) Operat. Res. , vol.15 , pp. 1057-1062
    • Mandelbrot, B.1    Taylor, H.2
  • 23
    • 0000501589 scopus 로고
    • Fractional Brownian motion, fractional noises and applications
    • MANDELBROT, B. AND VAN NESS, J. (1968). Fractional Brownian motion, fractional noises and applications. SIAM Rev. 10, 422-437.
    • (1968) SIAM Rev. , vol.10 , pp. 422-437
    • Mandelbrot, B.1    Van Ness, J.2
  • 25
    • 0000314740 scopus 로고
    • Lifetime portfolio selection under uncertainty: The continuous time case
    • MERTON, R. C. (1969). Lifetime portfolio selection under uncertainty: the continuous time case. Rev. Econom. Statist. 51, 247-257.
    • (1969) Rev. Econom. Statist. , vol.51 , pp. 247-257
    • Merton, R.C.1
  • 26
    • 0015602539 scopus 로고
    • The theory of rational option pricing
    • MERTON, R. C. (1973). The theory of rational option pricing. Bell J. Econom. 4, 141-183.
    • (1973) Bell J. Econom. , vol.4 , pp. 141-183
    • Merton, R.C.1
  • 28
    • 85011454437 scopus 로고    scopus 로고
    • An introduction to numerical methods for stochastic differential equations
    • PLATEN, E. (1999). An introduction to numerical methods for stochastic differential equations. Acta Numerica 8, 197-246.
    • (1999) Acta Numerica , vol.8 , pp. 197-246
    • Platen, E.1
  • 31
    • 0002230924 scopus 로고
    • Time series with strong dependence
    • Sixth World Congress (Econom. Soc. Monogr. 23), ed. C. A. Sims, Cambridge University Press
    • ROBINSON, P. (1994). Time series with strong dependence. In Advances In Econometrics, Sixth World Congress (Econom. Soc. Monogr. 23), Vol. 1, ed. C. A. Sims, Cambridge University Press, pp. 47-96.
    • (1994) Advances in Econometrics , vol.1 , pp. 47-96
    • Robinson, P.1
  • 32
    • 21344446855 scopus 로고
    • Gaussian semiparametric estimation of long-range dependence
    • ROBINSON, P. (1995). Gaussian semiparametric estimation of long-range dependence. Ann. Statist. 23, 1630-1661.
    • (1995) Ann. Statist. , vol.23 , pp. 1630-1661
    • Robinson, P.1
  • 33
    • 0000230520 scopus 로고    scopus 로고
    • The memory of stochastic volatility models
    • ROBINSON, P. (1999). The memory of stochastic volatility models. J. Econometrics 101, 195-218.
    • (1999) J. Econometrics , vol.101 , pp. 195-218
    • Robinson, P.1
  • 36
    • 0039414856 scopus 로고
    • Martingale-like behavior of asset prices and interest rates
    • Department of Economics, University of Minnesota
    • SIMS, C. A. (1984). Martingale-like behavior of asset prices and interest rates. Discussion Paper 205, Department of Economics, University of Minnesota.
    • (1984) Discussion Paper , vol.205
    • Sims, C.A.1
  • 37
    • 0009751460 scopus 로고    scopus 로고
    • Continuous-time methods in finance: A review and an assessment
    • SUNDARESAN, S. (2001). Continuous-time methods in finance: a review and an assessment. J. Finance 55, 1569-1622.
    • (2001) J. Finance , vol.55 , pp. 1569-1622
    • Sundaresan, S.1
  • 38
    • 0347078538 scopus 로고
    • An equilibrium characterization of the term structure
    • VASICEK, O. (1977). An equilibrium characterization of the term structure. J. Financial Econom. 5, 177-188.
    • (1977) J. Financial Econom. , vol.5 , pp. 177-188
    • Vasicek, O.1


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