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Identification of the Hurst Index of a Step Fractional Brownian Motion
4 references·5 citing·24 second hop
Identification of the Hurst Index of a Step Fractional Brownian Motion (2000)Identification of the Hurst Index of a St…Least‐squares Estimation of an Unknown Number of Shifts in a Time Series (2000)Least‐squares Estimation of a…Identifying the multifractional function of a Gaussian process (1998)Identifying the multifraction…Quadratic variations and estimation of the local Hölder index of a Gaussian process (1997)Quadratic variations and esti…Fractional Brownian Motions, Fractional Noises and Applications (1968)Fractional Brownian Motions, …Nonparametric estimation of the local Hurst function of multifractional Gaussian processes (2012)Nonparametric estimation of t…Modeling stock prices by multifractional Brownian motion: an improved estimation of the pointwise regularity (2011)Modeling stock prices by mult…A Central Limit Theorem for the Generalized Quadratic Variation of the Step Fractional Brownian Motion (2006)A Central Limit Theorem for t…Real harmonizable multifractional Lévy motions (2004)Real harmonizable multifracti…On the identification of the pointwise Hölder exponent of the generalized multifractional Brownian motion (2004)On the identification of the …Arbitrage in fractional Brownian motion models (2003)Stable Non-Gaussian Random ProcessesGennady Samorodnitsky and Murad S. Taqqu Chapman and Hall, 1994 (1997)Estimation of time-dependent Hurst exponents with variational smoothing and application to forecasting foreign exchange rates (2017)The Typical Spectral Shape of an Economic Variable (1966)AN INTRODUCTION TO LONG‐MEMORY TIME SERIES MODELS AND FRACTIONAL DIFFERENCING (1980)THE ESTIMATION AND APPLICATION OF LONG MEMORY TIME SERIES MODELS (1983)Statistics for Long-Memory Processes. (1996)Statistics for Long-Memory Processes. (1996)Inference About the Change-Point in a Sequence of Random Variables (1970)Estimating the number of change-points via Schwarz' criterion (1988)Nonparametric Methods in Change-Point Problems (1993)Detecting multiple breaks in financial market volatility dynamics (2002)Moment and Memory Properties of Linear Conditional Heteroscedasticity Models, and a New Model (2004)Do energy prices stimulate food price volatility? Examining volatility transmission between US oil, ethanol and corn markets (2013)Long memory processes and fractional integration in econometrics (1996)Empirical properties of asset returns: stylized facts and statistical issues (2001)Consistency of the drift parameter estimator for the discretized fractional Ornstein–Uhlenbeck process with Hurst index H ∈ (0, 12) (2015)EFFICIENT MARKETS AND BEHAVIORAL FINANCE: A COMPREHENSIVE MULTIFRACTIONAL MODEL (2015)Hypothesis testing of the drift parameter sign for fractional Ornstein–Uhlenbeck process (2017)Bootstrap for Empirical Multifractal Analysis (2007)Estimators of fractal dimension: Assessing the roughness of time series and spatial data (2010)Estimators of Fractal Dimension: Assessing the Roughness of Time Series and Spatial Data (2012)Local time and Tanaka formula for a Volterra-type multifractional Gaussian process (2010)Path properties of multifractal Brownian motion (2010)
this work references cited by second hop

References

  • 1968Fractional Brownian Motions, Fractional Noises and Applications7,658 cited
  • 1997Quadratic variations and estimation of the local Hölder index of a Gaussian process357 cited
  • 2000Least‐squares Estimation of an Unknown Number of Shifts in a Time Series276 cited
  • 1998Identifying the multifractional function of a Gaussian process133 cited

Cited by

  • 2004On the identification of the pointwise Hölder exponent of the generalized multifractional Brownian motion89 cited
  • 2011Modeling stock prices by multifractional Brownian motion: an improved estimation of the pointwise regularity80 cited
  • 2004Real harmonizable multifractional Lévy motions43 cited
  • 2012Nonparametric estimation of the local Hurst function of multifractional Gaussian processes39 cited
  • 2006A Central Limit Theorem for the Generalized Quadratic Variation of the Step Fractional Brownian Motion20 cited

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