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Self‐Similar Processes
7 references·9 citing·29 second hop
Self‐Similar Processes (2004)Self‐Similar ProcessesMultiple Wiener-Itô Integrals (1981)Multiple Wiener-Itô IntegralsFractional Differencing (1981)Fractional DifferencingAN INTRODUCTION TO LONG‐MEMORY TIME SERIES MODELS AND FRACTIONAL DIFFERENCING (1980)AN INTRODUCTION TO LONG‐MEMOR…Preservation of the rescaled adjusted range: 1. A reassessment of the Hurst Phenomenon (1978)Preservation of the rescaled …Long-Run Linearity, Locally Gaussian Process, H-Spectra and Infinite Variances (1969)Long-Run Linearity, Locally G…Computer Experiments With Fractional Gaussian Noises: Part 1, Averages and Variances (1969)Computer Experiments With Fra…Fractional Brownian Motions, Fractional Noises and Applications (1968)Fractional Brownian Motions, …Generalized Hermite processes, discrete chaos and limit theorems (2014)Generalized Hermite processes…Continuous time Black–Scholes equation with transaction costs in subdiffusive fractional Brownian motion regime (2011)Continuous time Black–Scholes…Drift parameter estimation in fractional diffusions driven by perturbed random walks (2010)Drift parameter estimation in…Multiclass G/M/1 queueing system with self-similar input and non-preemptive priority (2008)Multiclass G/M/1 queueing sys…Functional quantization rate and mean regularity of processes with an application to Lévy processes (2008)Functional quantization rate …Equity warrants pricing model under Fractional Brownian motion and an empirical study (2008)Equity warrants pricing model…Empirical Mode Decomposition, fractional Gaussian noise and Hurst exponent estimation (2006)Empirical Mode Decomposition,…Risk Model of Good and Bad Periods (2005)Risk Model of Good and Bad Pe…PATH PROPERTIES OF THE LINEAR MULTIFRACTIONAL STABLE MOTION (2005)PATH PROPERTIES OF THE LINEAR…Convergence of integrated processes of arbitrary Hermite rank (1979)The Malliavin Calculus and Related Topics (2006)Robustness of the rescaled range R/S in the measurement of noncyclic long run statistical dependence (1969)Some long‐run properties of geophysical records (1969)What is Fractional Integration? (1999)Estimating the Parameters of a Fractional Brownian Motion by Discrete Variations of its Sample Paths (2001)Forecasting tourism demand with ARMA-based methods (2008)The Typical Spectral Shape of an Economic Variable (1966)THE ESTIMATION AND APPLICATION OF LONG MEMORY TIME SERIES MODELS (1983)Empirical properties of asset returns: stylized facts and statistical issues (2001)The Behavior of Stock-Market Prices (1965)Computer Experiments with Fractional Gaussian Noises: Part 2, Rescaled Ranges and Spectra (1969)Computer Experiments with Fractional Gaussian Noises: Part 3, Mathematical Appendix (1969)The variation of certain speculative prices (1997)Hyperbolic Distributions in Finance (1995)Limit Theorems for Stochastic Processes (2003)Functional quantization for numerics with an application to option pricing (2005)Recursive Marginal Quantization of the Euler Scheme of a Diffusion Process (2015)Improved error bounds for quantization based numerical schemes for BSDE and nonlinear filtering (2017)Some properties of time series data and their use in econometric model specification (1981)A long memory property of stock market returns and a new model (1993)The Hurst Phenomenon: A puzzle? (1974)Long-term dependence in common stock returns (1977)Stock market prices and long-range dependence (1999)Fractionally integrated generalized autoregressive conditional heteroskedasticity (1996)Long memory processes and fractional integration in econometrics (1996)A Bibliographical Guide to Self-Similar Processes and Long-Range Dependence (1986)Fractional Ornstein–Uhlenbeck Lévy processes and the Telecom process: Upstairs and downstairs (2005)On bifractional Brownian motion (2005)
this work references cited by second hop

References

  • 1968Fractional Brownian Motions, Fractional Noises and Applications7,658 cited
  • 1980AN INTRODUCTION TO LONG‐MEMORY TIME SERIES MODELS AND FRACTIONAL DIFFERENCING3,376 cited
  • 1981Fractional Differencing2,720 cited
  • 1969Computer Experiments With Fractional Gaussian Noises: Part 1, Averages and Variances542 cited
  • 1978Preservation of the rescaled adjusted range: 1. A reassessment of the Hurst Phenomenon341 cited
  • 1969Long-Run Linearity, Locally Gaussian Process, H-Spectra and Infinite Variances237 cited
  • 1981Multiple Wiener-Itô Integrals171 cited

Cited by

  • 2006Empirical Mode Decomposition, fractional Gaussian noise and Hurst exponent estimation81 cited
  • 2014Generalized Hermite processes, discrete chaos and limit theorems43 cited
  • 2008Functional quantization rate and mean regularity of processes with an application to Lévy processes41 cited
  • 2005PATH PROPERTIES OF THE LINEAR MULTIFRACTIONAL STABLE MOTION41 cited
  • 2011Continuous time Black–Scholes equation with transaction costs in subdiffusive fractional Brownian motion regime37 cited
  • 2010Drift parameter estimation in fractional diffusions driven by perturbed random walks35 cited
  • 2008Equity warrants pricing model under Fractional Brownian motion and an empirical study

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34 cited
  • 2008Multiclass G/M/1 queueing system with self-similar input and non-preemptive priority23 cited
  • 2005Risk Model of Good and Bad Periods0 cited