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Volumn 4, Issue 2, 2008, Pages 217-241

Fractals in trade duration: Capturing long-range dependence and heavy tailedness in modeling trade duration

Author keywords

Fractal processes; Point processes; Self Similarity; Stable distribution; Trade duration

Indexed keywords


EID: 38349059260     PISSN: 16142446     EISSN: 16142454     Source Type: Journal    
DOI: 10.1007/s10436-007-0078-y     Document Type: Article
Times cited : (25)

References (48)
  • 2
    • 0007741136 scopus 로고    scopus 로고
    • The logarithmic ACD model: An application to the bid-ask quote process of three NYSE stocks
    • Bauwens L., Giot P. (A000): The logarithmic ACD model: an application to the bid-ask quote process of three NYSE stocks. Annals d'Economie et de Statistique 60, 117-149
    • (2000) Annals D'Economie Et De Statistique , vol.60 , pp. 117-149
    • Bauwens, L.1    Giot, P.2
  • 3
    • 0242286148 scopus 로고    scopus 로고
    • Asymmetric ACD models: Introducing price information in ACD models
    • Bauwens L., Giot I. (2003): Asymmetric ACD models: introducing price information in ACD models. Empir Econ 28, 709-731
    • (2003) Empir Econ , vol.28 , pp. 709-731
    • Bauwens, L.1    Giot, P.2
  • 4
    • 13844309266 scopus 로고    scopus 로고
    • A comparison of financial duration models via density forecasts
    • Bauwens L., Giot P., Gramming J., Veredas D. (2004): A comparison of financial duration models via density forecasts. Int J Forecast 20, 589-609
    • (2004) Int J Forecast , vol.20 , pp. 589-609
    • Bauwens, L.1    Giot, P.2    Gramming, J.3    Veredas, D.4
  • 5
    • 79956347891 scopus 로고    scopus 로고
    • Modelling financial high frequency data with point processes
    • In: Andersen, T., Davis, R., Kreiss, J., Mikosch, T., (eds.) Springer, Heidelberg (in press)
    • Bauwens, L., Hautsch, N.: Modelling financial high frequency data with point processes. In: Andersen, T., Davis, R., Kreiss, J., Mikosch, T., (eds.) Handbook of Financial Time Series. Springer, Heidelberg (in press, 2007)
    • (2007) Handbook of Financial Time Series
    • Bauwens, L.1    Hautsch, N.2
  • 6
    • 1642443326 scopus 로고    scopus 로고
    • The stochastic conditional duration model: A latent variable model for the analysis of financial durations
    • Bauwens L., Veredas D. (2004): The stochastic conditional duration model: A latent variable model for the analysis of financial durations. J Econ 119, 381-412
    • (2004) J Econ , vol.119 , pp. 381-412
    • Bauwens, L.1    Veredas, D.2
  • 7
    • 33750509599 scopus 로고    scopus 로고
    • Random rewards, fractional Brownian local times and stable self-similar processes
    • Cohen S., Samorodnitsky G. (2006): Random rewards, fractional Brownian local times and stable self-similar processes. Ann Appl Probab 16(3): 1432-1461
    • (2006) Ann Appl Probab , vol.16 , Issue.3 , pp. 1432-1461
    • Cohen, S.1    Samorodnitsky, G.2
  • 9
    • 0033474256 scopus 로고    scopus 로고
    • Fractal analysis of surface roughness by using spatial data
    • Davies S., Hall P. (1999): Fractal analysis of surface roughness by using spatial data. J Roy Statist Soc B 61, 3-37
    • (1999) J Roy Statist Soc B , vol.61 , pp. 3-37
    • Davies, S.1    Hall, P.2
  • 10
    • 0001675669 scopus 로고
    • Constraints on short-selling and asset price adjustment to private information
    • Diamond W., Verrecchia R. (1987): Constraints on short-selling and asset price adjustment to private information. J Financ Econ 18, 277-311
    • (1987) J Financ Econ , vol.18 , pp. 277-311
    • Diamond, W.1    Verrecchia, R.2
  • 11
    • 0000713911 scopus 로고    scopus 로고
    • Bootstrap confidence intervals
    • DiCiccio T.J., Efron B. (1996): Bootstrap confidence intervals. Statist Sci 11, 189-228
    • (1996) Statist Sci , vol.11 , pp. 189-228
    • DiCiccio, T.J.1    Efron, B.2
  • 12
    • 0242290912 scopus 로고    scopus 로고
    • Doukhan, P., Oppenheim, G., Taqqu, M. (eds.) Birkhäuser: Boston
    • Doukhan, P., Oppenheim, G., Taqqu, M. (eds.): Theory and Applications of Long-Range Dependence. Birkhäuser: Boston (2003)
    • (2003) Theory and Applications of Long-Range Dependence
  • 13
    • 0039012102 scopus 로고    scopus 로고
    • Time and the price impact of a trade
    • Dufour A., Engle R. (2000): Time and the price impact of a trade. J Financ 55, 2467-2498
    • (2000) J Financ , vol.55 , pp. 2467-2498
    • Dufour, A.1    Engle, R.2
  • 14
    • 0001905231 scopus 로고    scopus 로고
    • The econometrics of ultra-high frequency data
    • Engle R. (2000): The econometrics of ultra-high frequency data. Econometrica 68, 1-22
    • (2000) Econometrica , vol.68 , pp. 1-22
    • Engle, R.1
  • 15
    • 0000373457 scopus 로고    scopus 로고
    • Autoregressive conditional duration: A new model for irregularly spaced transaction data
    • Engle R., Russell J.R. (1998): Autoregressive conditional duration: a new model for irregularly spaced transaction data. Econometrica 66, 1127-1162
    • (1998) Econometrica , vol.66 , pp. 1127-1162
    • Engle, R.1    Russell, J.R.2
  • 16
    • 4444276600 scopus 로고    scopus 로고
    • Trades and quotes: A bivariate point process
    • Engle R., LunAe A. (2003): Trades and quotes: a bivariate point process. J Financ Econom 1, 159-188
    • (2003) J Financ Econom , vol.1 , pp. 159-188
    • Engle, R.1    Lunde, A.2
  • 17
    • 0001652452 scopus 로고
    • Mandelbrot and the stable Paretian hypothesis
    • Fama E. (1963): Mandelbrot and the stable Paretian hypothesis. J. Bus 36, 420-429
    • (1963) J. Bus , vol.36 , pp. 420-429
    • Fama, E.1
  • 18
    • 38349012048 scopus 로고    scopus 로고
    • Stochastic conditional duration models with "leverage effect" for financial transaction data
    • Feng D., Jiang G.J., Song P. (2004): Stochastic conditional duration models with "leverage effect" for financial transaction data. J Financ Econom 119, 413-433
    • (2004) J Financ Econom , vol.119 , pp. 413-433
    • Feng, D.1    Jiang, G.J.2    Song, P.3
  • 19
    • 15944387432 scopus 로고    scopus 로고
    • Non-parametric specification tests for conditional duration models
    • Fernandes M., Gramming J. (2005): Non-parametric specification tests for conditional duration models. J Econom, 127, 35-68
    • (2005) J Econom , vol.127 , pp. 35-68
    • Fernandes, M.1    Gramming, J.2
  • 20
    • 28244447707 scopus 로고    scopus 로고
    • A familiy of autoregressive conditional duration models
    • Fernandes M., Gramming J. (2006): A familiy of autoregressive conditional duration models. J Econom 130, 1-23
    • (2006) J Econom , vol.130 , pp. 1-23
    • Fernandes, M.1    Gramming, J.2
  • 21
    • 34247235790 scopus 로고    scopus 로고
    • When is inter-transaction time informative?
    • doi:10.1016/j.jempfin. 2006.06.002
    • Furfine, C.: When is inter-transaction time informative? J Empir Financ (2007) doi:10.1016/j.jempfin. 2006.06.002
    • (2007) J Empir Financ
    • Furfine, C.1
  • 22
    • 0040637356 scopus 로고    scopus 로고
    • GARCH for irregularly spaced financial data: The ACD-GARCH model
    • Ghysels E., Jasiak J. (1998): GARCH for irregularly spaced financial data: The ACD-GARCH model. Stud. Nonlinear Dynam. Econometrics 2, 133-149
    • (1998) Stud. Nonlinear Dynam. Econometrics , vol.2 , pp. 133-149
    • Ghysels, E.1    Jasiak, J.2
  • 23
    • 1642359757 scopus 로고    scopus 로고
    • Stochastic volatility duration models
    • Ghysels E., Gouriéroux C., Jasiak J. (2004): Stochastic volatility duration models. J Econom 119, 413-433
    • (2004) J Econom , vol.119 , pp. 413-433
    • Ghysels, E.1    Gouriéroux, C.2    Jasiak, J.3
  • 24
    • 0007740909 scopus 로고    scopus 로고
    • Non-monotonic hazard functions and the autoregressive conditional duration model
    • Gramming J., Maurer K. (2000): Non-monotonic hazard functions and the autoregressive conditional duration model. Econometrics J 3, 16-38
    • (2000) Econometrics J , vol.3 , pp. 16-38
    • Gramming, J.1    Maurer, K.2
  • 25
    • 70350341186 scopus 로고    scopus 로고
    • Modeling microstructure time series
    • In: Maddala, G., Rao, C.R. (eds.) North-Holland, Amsterdam
    • Hasbrouck, J.: Modeling microstructure time series. In: Maddala, G., Rao, C.R. (eds.) Statistical Methods in Finance. Handbook of Statistics, vol. 14. North-Holland, Amsterdam (1996)
    • (1996) Statistical Methods in Finance. Handbook of Statistics , vol.14
    • Hasbrouck, J.1
  • 26
    • 0000759022 scopus 로고
    • Long-term storage capacity of reservoirs
    • Hurst H. (1951): Long-term storage capacity of reservoirs. Trans Am Soc Civil Eng 116, 770-808
    • (1951) Trans Am Soc Civil Eng , vol.116 , pp. 770-808
    • Hurst, H.1
  • 27
    • 0000322726 scopus 로고
    • Methods of using long-term storage in reservoirs
    • Hurst, H.: Methods of using long-term storage in reservoirs. Proc Inst Civil Eng Part I, 519-577 (1955)
    • (1955) Proc Inst Civil Eng Part I , pp. 519-577
    • Hurst, H.1
  • 28
    • 0039133363 scopus 로고    scopus 로고
    • Persistence in intertrade durations
    • Jasiak J. (1998): Persistence in intertrade durations. Finance 19, 166-195
    • (1998) Finance , vol.19 , pp. 166-195
    • Jasiak, J.1
  • 29
    • 0001187166 scopus 로고
    • Wienersche Spiralen und einige andere interessante Kurven im Hilbertschen Raum
    • Kolmogoroff A.N. (1940): Wienersche Spiralen und einige andere interessante Kurven im Hilbertschen Raum. Comptes Rendus (Doklady) Acad Sci URSS (N.S.) 26, 115-118
    • (1940) Comptes Rendus (Doklady) Acad Sci URSS (N.S.) , vol.26 , pp. 115-118
    • Kolmogoroff, A.N.1
  • 30
    • 84968515060 scopus 로고
    • Semi-stable stochastic Processes
    • Lamperti J. (1962): Semi-stable stochastic Processes. Trans Am Math Soc 104, 62-78
    • (1962) Trans Am Math Soc , vol.104 , pp. 62-78
    • Lamperti, J.1
  • 31
    • 0001504360 scopus 로고
    • The variation of certain speculative prices
    • Mandelbrot B.B. (1963): The variation of certain speculative prices. J Bus Univ Chicago 36, 394-419
    • (1963) J Bus Univ Chicago , vol.36 , pp. 394-419
    • Mandelbrot, B.B.1
  • 33
    • 13444266482 scopus 로고    scopus 로고
    • The inescapable need for fractal model tools in finance
    • Mandelbrot B.B. (2005): The inescapable need for fractal model tools in finance. Ann Financ 1, 193-195
    • (2005) Ann Financ , vol.1 , pp. 193-195
    • Mandelbrot, B.B.1
  • 34
    • 0000501589 scopus 로고
    • Fractional Brownian motions, fractional noises and applications
    • Mandelbrot B.B., Van Ness J. (1968): Fractional Brownian motions, fractional noises and applications. SIAM Rev 10(4): 422-437
    • (1968) SIAM Rev , vol.10 , Issue.4 , pp. 422-437
    • Mandelbrot, B.B.1    Van Ness, J.2
  • 35
    • 0000580577 scopus 로고
    • An ideal metric and the rate of convergence to a self-similar process
    • Maejima M., Rachev S. (1987): An ideal metric and the rate of convergence to a self-similar process. Ann Probab 15, 702-727
    • (1987) Ann Probab , vol.15 , pp. 702-727
    • Maejima, M.1    Rachev, S.2
  • 36
    • 27644488309 scopus 로고    scopus 로고
    • Duration, volume and volatility impact of trades
    • Manganelli S. (2005): Duration, volume and volatility impact of trades. J Financ Markets 8, 377-399
    • (2005) J Financ Markets , vol.8 , pp. 377-399
    • Manganelli, S.1
  • 37
    • 84958363567 scopus 로고
    • Modeling asset returns with alternative stable models
    • Mittnik S., Rachev S. (1993): Modeling asset returns with alternative stable models. Econom Rev 12, 261-330
    • (1993) Econom Rev , vol.12 , pp. 261-330
    • Mittnik, S.1    Rachev, S.2
  • 40
    • 0042408392 scopus 로고    scopus 로고
    • Long strange segments in a long range dependent moving average
    • Rachev S., Samorodnitsky G. (2001): Long strange segments in a long range dependent moving average. Stoch Process Appl 93, 119-148
    • (2001) Stoch Process Appl , vol.93 , pp. 119-148
    • Rachev, S.1    Samorodnitsky, G.2
  • 41
    • 38149148082 scopus 로고
    • Possible sample paths of self-similar alpha-stable processes
    • Samorodnitsky G. (1994): Possible sample paths of self-similar alpha-stable processes. Statist Probab Lett 19, 233-237
    • (1994) Statist Probab Lett , vol.19 , pp. 233-237
    • Samorodnitsky, G.1
  • 43
    • 33846552257 scopus 로고    scopus 로고
    • An empirical model for durations in stocks
    • Simonsen O. (2007): An empirical model for durations in stocks. Ann Financ 3, 241-255
    • (2007) Ann Financ , vol.3 , pp. 241-255
    • Simonsen, O.1
  • 44
    • 0036887887 scopus 로고    scopus 로고
    • Estimation of the self-similarity parameter in liner fractional stable motion
    • Stoev S., Pipiras V., Taqqu M. (2002): Estimation of the self-similarity parameter in liner fractional stable motion. Signal Process 82, 1873-1901
    • (2002) Signal Process , vol.82 , pp. 1873-1901
    • Stoev, S.1    Pipiras, V.2    Taqqu, M.3
  • 45
    • 2942639996 scopus 로고    scopus 로고
    • Simulation methods for linear fractional stable motion and FARIMA using the Fast Fourier Transform
    • Stoev S., Taqqu M. (2004): Simulation methods for linear fractional stable motion and FARIMA using the Fast Fourier Transform. Fractals 12, 95-121
    • (2004) Fractals , vol.12 , pp. 95-121
    • Stoev, S.1    Taqqu, M.2
  • 46
    • 34848861893 scopus 로고    scopus 로고
    • Fractals or I.I.D.: Evidence of long-range dependence and heavy tailedness from modeling German equity market returns
    • (in press)
    • Sun, W., RacheE, S., Fabozzi, F.: Fractals or I.I.D.: evidence of long-range dependence and heavy tailedness from modeling German equity market returns. J Econ Bus (in press, 2007a)
    • (2007) J Econ Bus
    • Sun, W.1    Rachev, S.2    Fabozzi, F.3
  • 47
    • 84864530509 scopus 로고    scopus 로고
    • Long-range dependence, fractal processes, and intra-daily data
    • In Seese, D., Weinhardt, C., Schlottmann, F. (eds.) Springer, Heidelberg (in press)
    • Sun, W., Rachev, S., Fabozzi, F.: Long-range dependence, fractal processes, and intra-daily data. In Seese, D., Weinhardt, C., Schlottmann, F. (eds.) IT and Finance. Springer, Heidelberg (in press, 2007b)
    • (2007) IT and Finance
    • Sun, W.1    Rachev, S.2    Fabozzi, F.3
  • 48
    • 0011247415 scopus 로고    scopus 로고
    • A nonlinear autoregressive conditional duration model with applications to financial transaction data
    • Zhang M., Russell J., Tsay R. (2001): A nonlinear autoregressive conditional duration model with applications to financial transaction data. J Econom 104, 179-207
    • (2001) J Econom , vol.104 , pp. 179-207
    • Zhang, M.1    Russell, J.2    Tsay, R.3


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