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On the lower bound of the spectral norm of symmetric random matrices with independent entries
spectral norm random symmetric matrix
2009/3/20
We show that the spectral radius of an N-dimensional random symmetric matrix with i.i.d. bounded centered but non-symmetrically distributed entries is bounded from below by 2σ - o(N-6/11+ε), where σ2 ...
Asymptotic equivalence of spectral density estimation and gaussian white noise
Stationary Gaussian process spectral density Sobolev classes Le Cam distance asymptotic equivalence
2010/3/18
We consider the statistical experiment given by a sample y(1), . . . , y(n) of a stationary
Gaussian process with an unknown smooth spectral density f. Asymptotic equivalence,
in the sense of Le Cam...
ESTIMATING SPECTRAL DENSITY FUNCTIONS ROBUSTLY
robustness spectral density function AO-model
2009/2/25
We consider in the following the problem of robust spectral density estimation.Unfortunately, conventional spectral density estimators are not robust in the presence of additive outliers (cf. [18]). I...
Estimation of the spectral density of a homogeneous random stable discrete time field
homogeneous stable fields spectral density estimate
2009/2/23
In earlier papers, 2π-periodic spectral data windows have been used in spectral estimation of discretetime random fields having finite second-order moments. In this paper, we show that 2π-periodic spe...
Empirical spectral processes for locally stationary time series
asymptotic normality empirical spectral process locally stationary processes non-stationary time series quadratic forms
2010/3/18
A time-varying empirical spectral process indexed by classes of functions is defined for locally stationary time series. We derive weak convergence in a function space, and prove a maximal exponential...
We propose two estimators of a monotone spectral density, that
are based on the periodogram. These are the isotonic regression of
the periodogram and the isotonic regression of the log-periodogram.
...
Separating populations with wide data：A spectral analysis
mixture of product distributions clustering small sample spectral analysis
2010/4/29
In this paper, we consider the problem of partitioning a small
data sample drawn from a mixture of k product distributions. We are interested
in the case that individual features are of low average ...
Nonparametric spectral analysis with applications to seizure characterization using EEG time series
EEG epilepsy GACV GML locally stationary process permutationtest smoothing parameter smoothing spline SS ANOVA
2010/3/17
Understanding the seizure initiation process and its propagation
pattern(s) is a critical task in epilepsy research. Characteristics of the
pre-seizure electroencephalograms (EEGs) such as oscillati...
Detection of Change--Points in the Spectral Density With Applications to ECG Data
Change--Points Spectral Density Applications ECG Data
2010/3/17
Nous proposons une nouvelle méthode pour estimer les ruptures du rythme cardiaque dans les
bandes parasympathiques et orthosympathiques basée sur la transformée en ondelettes dans le domaine
complex...
Concentration of the Spectral Measure for Large Random Matrices with Stable Entries
Spectral Measure Random Matrices Infinitely divisibility Stable Vector Concentration
2010/4/29
We derive concentration inequalities for functions of the empirical
measure of large random matrices with infinitely divisible entries and,
in particular, stable ones. We also give concentration res...
We consider the problem of detecting edges in piecewise
smooth functions from their N-degree spectral content, which is assumed
to be corrupted by noise. There are three scales involved: the
“smoot...