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Measuring stationarity in long-memory processes
spectral density long-memory non-stationary processes goodness-of-ttests empirical spectral measure integrated periodogram locally stationary process bootstrap
2013/4/27
In this paper we consider the problem of measuring stationarity in locally stationary long-memory processes. We introduce an $L_2$-distance between the spectral density of the locally stationary proce...
Aggregation of autoregressive random fields and anisotropic long memory
Aggregation autoregressive random fields anisotropic long memory
2013/4/27
We introduce the notion of anisotropic long memory for random fields on $\mathbb{Z}^2$ whose partial sums on incommensurate rectangles with sides growing at different rates O(n) and $O(n^{H_1/H_2})$, ...
On the scaling ranges of detrended fluctuation analysis for long-memory correlated short series of data
scaling range detrended fluctuation analysis Hurst exponent power laws time series long memory econophysics complex systems
2012/9/14
We examine the scaling regime for the detrended fluctuation analysis (DFA) -the most popular method used to detect the presence of long memory in data and
the fractal structure of time series. First,...
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...
Wavelet estimation of the long memory parameter for Hermite polynomial of Gaussian processes
Hermite polynomials of a Gaussian process long–memory parameter non–Gaussian Rosenblatt
2011/6/16
We consider stationary processes with long memory which are non–Gaussian and represented
as Hermite polynomials of a Gaussian process. We focus on the corresponding
wavelet coefficients and study th...
Uncovering Long Memory in High Frequency UK Futures
Long Memory APARCH High Frequency Futures
2011/3/31
Accurate volatility modelling is paramount for optimal risk management practices. One stylized feature of financial volatility that impacts the modelling process is long memory explored in this paper ...
Some results on random design regression with long memory errors and predictors
memory errors predictors random design
2011/3/24
This paper studies nonparametric regression with long memory (LRD) errors and predictors. First, we formulate general conditions which guarantee the standard rate of convergence for a nonparametric ke...
Empirical process of residuals for regression models with long memory errors
Empirical process of residuals regression models
2011/3/24
We consider the residual empirical process in random design regression with long memory errors. We establish its limiting behaviour, showing that its rates of convergence are different from the rates ...
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...
Adaptive semiparametric wavelet estimator and goodness-of-fit test for long memory linear processes
Statistics Theory (math.ST)
2010/12/17
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 {\it et al...
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.