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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...
Adaptive estimator of the memory parameter and goodness-of-fit test using a multidimensional increment ratio statistic
Long-memory Gaussian processes goodness-of-fit test estimation of the memory parameter
2010/10/14
The Increment Ratio (IR) statistic was first defined and studied in Surgailis {\it et al.} (2008) for estimating the long-memory parameter either of a stationary or an increment stationary Gaussian p...
A Bayesian Approach to Estimating the Long Memory Parameter
Bayesian model averaging FEXP hierarchical Bayes long-range dependence Spectral density
2009/9/24
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...
Adaptive wavelet based estimator of the memory parameter for stationary Gaussian processes
Adaptive wavelet estimator memory parameter stationary Gaussian processes
2010/4/26
This work is intended as a contribution to a wavelet-based adaptive estimator of the memory parameter in the classical semi-parametric framework for Gaussian stationary processes. In particular we int...