Long memory processes and fractional integration in econometrics
From MaRDI portal
Publication:1922357
DOI10.1016/0304-4076(95)01732-1zbMath0854.62099OpenAlexW2116807840MaRDI QIDQ1922357
Publication date: 19 January 1997
Published in: Journal of Econometrics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0304-4076(95)01732-1
surveystochastic volatilityfractional integrationlong memory processesfinancereviewHurst effectmaximum likelihood techniquesARFIMA processesFIGARCH processessemiparametric procedures
Applications of statistics to economics (62P20) Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Economic time series analysis (91B84)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Testing the random walk hypothesis: power versus frequency of observation
- Noncentral limit theorems and Appell polynomials
- Testing the null hypothesis of stationarity against the alternative of a unit root. How sure are we that economic time series have a unit root?
- Testing for strong serial correlation and dynamic conditional heteroskedasticity in multiple regression
- Efficient parameter estimation for self-similar processes
- Extremes and related properties of random sequences and processes
- Noncentral limit theorems for quadratic forms in random variables having long-range dependence
- On models and methods for Bayesian time series analysis
- Central limit theorems for quadratic forms in random variables having long-range dependence
- Time series: theory and methods
- Large-sample properties of parameter estimates for strongly dependent stationary Gaussian time series
- On estimation of a regression model with long-memory stationary errors
- Small sample effects in time series analysis: A new asymptotic theory and a new estimate
- Fractionally integrated generalized autoregressive conditional heteroskedasticity
- Long memory relationships and the aggregation of dynamic models
- ARCH modeling in finance. A review of the theory and empirical evidence
- Prediction in dynamic models with time-dependent conditional variances
- On large-sample estimation for the mean of a stationary random sequence
- Properties of sequences of partial sums of polynomial regression residuals with applications to tests for change of regression at unknown times
- On the invertibility of time series models
- Parameter estimation in low order fractionally differenced ARMA processes
- Semiparametric analysis of long-memory time series
- On the power of unit root tests against fractional alternatives
- Long-range dependence in the conditional variance of stock returns
- Fractional integration analysis of long-run behavior for US macroeconomic time series
- A note on calculating the autocovariances of the fractionally integrated ARMA models
- The detection and estimation of long memory in stochastic volatility
- Generalized autoregressive conditional heteroscedasticity
- A minimum distance estimator for long-memory processes
- Modeling and pricing long memory in stock market volatility
- On the power of the KPSS test of stationarity against fractionally-integrated alternatives
- Averaged periodogram estimation of long memory
- A central limit theorem for quadratic forms in strongly dependent linear variables and its application to asymptotical normality of Whittle's estimate
- A CENTRAL LIMIT THEOREM OF FOURIER TRANSFORMS OF STRONGLY DEPENDENT STATIONARY PROCESSES
- TESTS FOR FRACTIONAL INTEGRATION:A MONTE CARLO INVESTIGATION
- REGRESSION OF SPECTRAL ESTIMATORS WITH FRACTIONALLY INTEGRATED TIME SERIES
- Fighting the arch–enemy with mathematics‘
- Conditional Heteroskedasticity in Asset Returns: A New Approach
- A CENTRAL LIMIT THEOREM AND A STRONG MIXING CONDITION
- ON THE VARIATION OF YIELD VARIANCE WITH PLOT SIZE
- A Suggested Statistical Model of some Time Series which occur in Nature
- THE ESTIMATION AND APPLICATION OF LONG MEMORY TIME SERIES MODELS
- The Fractional Unit Root Distribution
- ON ESTIMATION OF LONG-MEMORY TIME SERIES MODELS
- Tests for Hurst effect
- Discrimination between monotonic trends and long-range dependence
- A Note on the Predictors of Differenced Sequences
- ON THE EFFICIENCY OF THE SAMPLE MEAN IN LONG-MEMORY NOISE
- ON PREDICTION WITH FRACTIONALLY DIFFERENCED ARIMA MODELS
- A test of location for data with slowly decaying serial correlations
- Fractional differencing
- Autoregressive Conditional Heteroscedasticity with Estimates of the Variance of United Kingdom Inflation
- AN INTRODUCTION TO LONG-MEMORY TIME SERIES MODELS AND FRACTIONAL DIFFERENCING
- The limiting distribution of extremal exchange rate returns
- The exact likelihood function for a mixed autoregressive-moving average process
- Weak convergence to fractional brownian motion and to the rosenblatt process
- The distribution of the maximum Brownian excursion
- The Expected Value of the Adjusted Rescaled Hurst Range of Independent Normal Summands
- Self-Similar Probability Distributions
- Law of the iterated logarithm for sums of non-linear functions of Gaussian variables that exhibit a long range dependence
- ON GENERALIZED FRACTIONAL PROCESSES
- Long-Term Memory in Stock Market Prices
- MODELING LONG-MEMORY PROCESSES FOR OPTIMAL LONG-RANGE PREDICTION
- Bias in the sample autocorrelations of fractional noise
- On the invertibility of fractionally differenced ARIMA processes
- (MIS)SPECIFICATION OF LONG MEMORY IN SEASONAL TIME SERIES
- LAGRANGE MULTIPLIER TESTS FOR FRACTIONAL DIFFERENCE
- ESTIMATION OF THE LONG-MEMORY PARAMETER, BASED ON A MULTIVARIATE CENTRAL LIMIT THEOREM
- AUTOMATIC SEMIPARAMETRIC ESTIMATION OF THE MEMORY PARAMETER OF A LONG-MEMORY TIME SERIES
- ESTIMATION OF THE FRACTIONAL DIFFERENCE PARAMETER IN THE ARIMA(p, d, q) MODEL USING THE SMOOTHED PERIODOGRAM
- LAG WINDOW ESTIMATION OF THE DEGREE OF DIFFERENCING IN FRACTIONALLY INTEGRATED TIME SERIES MODELS
- ESTIMATION OF THE MEMORY PARAMETER FOR NONSTATIONARY OR NONINVERTIBLE FRACTIONALLY INTEGRATED PROCESSES
- On the inverses of some patterned matrices arising in the theory of stationary time series
- Time Series Regression with a Unit Root
- Are Output Fluctuations Transitory?
- Fractional Brownian Motions, Fractional Noises and Applications
- Past and Future
- Econometric tests of rationality and market efficiency
- The Asymptotic Distribution of the Range of Sums of Independent Random Variables