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Quantization of long memory processes
Long-memory processes Round-off error Measurement error Log-periodogram regression Detrended fluctuation analysis Hermite polynomials
2011/10/9
Abstract: We study how quantization, occurring when a continuously varying process is approximated by or observed on a grid of discrete values, changes the properties of a Gaussian long-memory process...
Marginal density estimation for linear processes with seasonal long memory
Confidence band empirical process limit theorem mean integrated squared error
2011/2/25
Some convergence results on the kernel density estimator are proven for a class of linear processes with seasonal effects.
Adaptive semiparametric wavelet estimator and goodness-of-fit test for long memory linear processes
Long range dependence linear processes wavelet estimator semiparametric estimator
2011/1/18
This paper is first devoted to study an adaptive wavelet based estimator of the long memory parameter for linear processes in a general semi-parametric frame. This is an extension of Bardet et al. (20...
Marginal density estimation for linear processes with seasonal long memory
Marginal density estimation linear processes seasonal long memory
2011/1/4
Some convergence results on the kernel density estimator are proven for a class of linear processes with seasonal effects. In particular we extend the results of Ho and Hsing (1996a) and Mielniczuk (1...
An efficient estimator for locally stationary Gaussian long-memory processes
efficient estimator Gaussian long-memory processes
2010/11/18
This paper addresses the estimation of locally stationary long-range dependent processes, a methodology that allows the statistical analysis of time series data exhibiting both nonstationarity and str...
Long Memory in a Linear Stochastic Volterra Differential Equation
Long Memory Linear Stochastic Volterra Differential Equation
2010/12/1
In this paper we consider a linear stochastic Volterra equation which has a stationary solution. We show that when the kernel of the fundamental solution is regularly varying at infinity with a log-co...
Berry-Esséen Bounds for Long Memory Moving Averages via Stein's Method and Malliavin Calculus
limit theorems long memory moving average multiple stochastic integrals Malliavin calculus weak convergence
2010/12/1
Using the Stein method on Wiener chaos introduced in [10] we prove Berry-Ess´een bounds for long memory moving averages.
Testing for Long Memory in the Asian Foreign Exchange Rates
Exchange rates long memory plug-in method Whittle method
2007/12/11
In this paper, we use the plug-in and Whittle methods that are based on spectral regression analysis to test for the long memory property in 12 Asian/dollar daily exchange rates. The results according...