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Estimation of frequencies of sinusoids in fractionally differenced gaussian noise

Proceedings 7th International Conference on Signal Processing, 2004. Proceedings. ICSP '04. 2004., 2005
This paper is concerned with the estimation of frequencies of sinusoids based on the data disturbed by fractal noises. For fractionally differenced Gaussian noises, a combinatory method of bias compensated least squares (BCLS) and maximum likelihood (ML) is presented here for this problem.
null Chuangbai Xiao   +2 more
openaire   +1 more source

Spectral approximation to the fractional differencing operator

2006
The article proposes a criterion for the estimation of the best ARMA(1,1) process which approximates a given fractionally integrated process.
PICCOLO, DOMENICO, CORDUAS, MARCELLA
openaire   +1 more source

Revisiting the relations between Hurst exponent and fractional differencing parameter for long memory

Physica A: Statistical Mechanics and Its Applications, 2021
Liang Ding, Yirong Huang
exaly  

Fractional Differencing, Long Memory, and Predictive Structure

We propose a finite-sample estimator for the fractional differencing order 𝑑 of equity log-price series, motivated by the empirical failure of classical frequency-domain estimators-including the extended Whittle estimator-to resolve economically meaningful cross-sectional heterogeneity in long-range dependence.
openaire   +1 more source

Estimating the Fractionally Integrated Model with a Break in the Differencing Parameter [PDF]

open access: possibleEconomics Bulletin, 2007
This note examines a new problem in the structural-change literature. A fractionally integrated model is assumed to experience a change in the differencing parameter at an unknown time. We develop consistent estimators of the change point and the pre- and post-shift differencing parameters.
openaire  

Fourier spectral methods with exponential time differencing for space‐fractional partial differential equations in population dynamics

Numerical Methods for Partial Differential Equations, 2023
Ashlin Powell Harris, Abdul Khaliq
exaly  

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