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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...
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 $O(n^{H_1/H_2})$, ...
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,...
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...
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 ...
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...
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 ...
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...
This paper describes limiting behaviour of tail empirical process associated with long memory stochastic volatility models. We show that such process has dichoto- mous behaviour, according to an int...
We develop a Bayesian procedure for analyzing stationary long-range dependent processes.Specically,we consider the fractional exponential model (FEXP)to estimate the memory parameter of a stationary...
In this paper we investigate the properties of the estimator of degree of differencing the fractional d in long memory time series analysis via consistent spectral density estimation. It is shown t...
Spectral Properties of Temporally Aggregated Long Memory Processes。
We prove that a large set of long memory (LM) processes (including classical LM processes and all processes whose spectral densities have a countable number of singularities controlled by exponential ...
We prove that a large set of long memory (LM) processes (including classical LM processes and all processes whose spectral densities have a countable number of singularities controlled by exponential ...
It is generally accepted that many time series of practical interest exhibit strong dependence, i.e., long memory. For such series, the sample autocorrelations decay slowly and log-log periodogram p...

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