ESTIMATION OF THE LONG-MEMORY PARAMETER, BASED ON A MULTIVARIATE CENTRAL LIMIT THEOREM
From MaRDI portal
Publication:4299034
DOI10.1111/j.1467-9892.1994.tb00192.xzbMath0794.62054OpenAlexW2161952052MaRDI QIDQ4299034
Publication date: 8 September 1994
Published in: Journal of Time Series Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1111/j.1467-9892.1994.tb00192.x
maximum likelihood estimationtime seriesquadratic formslong-range dependencefractional Gaussian noiseself-similardependence structureWhittle estimatormultivariate central limit theoremfractional ARIMAasymptotically independent
Asymptotic properties of parametric estimators (62F12) Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Central limit and other weak theorems (60F05)
Related Items
Statistical delay analysis on an ATM switch with self-similar input traffic, Long memory processes and fractional integration in econometrics, A SCORE TEST FOR SEASONAL FRACTIONAL INTEGRATION AND COINTEGRATION, On rapid change points under long memory, On parameter estimation for locally stationary long-memory processes, On the properties of the periodogram of a stationary long-memory process over different epochs with applications, A Comparative Note about Estimation of the Fractional Parameter under Additive Outliers, Structural changes estimation for strongly dependent processes
Cites Work
- Unnamed Item
- Unnamed Item
- Efficient parameter estimation for self-similar processes
- On models and methods for Bayesian time series analysis
- Central limit theorems for quadratic forms in random variables having long-range dependence
- Large-sample properties of parameter estimates for strongly dependent stationary Gaussian time series
- On bilinear forms in Gaussian random variables and Toeplitz matrices
- Testing that a Gaussian process is stationary
- Long memory relationships and the aggregation of dynamic models
- On large-sample estimation for the mean of a stationary random sequence
- A central limit theorem for quadratic forms in strongly dependent linear variables and its application to asymptotical normality of Whittle's estimate
- ON THE VARIATION OF YIELD VARIANCE WITH PLOT SIZE
- Testing and estimating change-points in time series
- A test of location for data with slowly decaying serial correlations
- Testing for the Constancy of Parameters Over Time
- M Estimators of Location for Gaussian and Related Processes With Slowly Decaying Serial Correlations
- Fractional Brownian Motions, Fractional Noises and Applications
- Long-Run Linearity, Locally Gaussian Process, H-Spectra and Infinite Variances
- The application of the fast Fourier transform algorithm to the estimation of spectra and cross-spectra
- Topographic correlation, power-law covariance functions, and diffusion
- PERIODOGRAM ANALYSIS AND CONTINUOUS SPECTRA