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Asymptotic normality of a Sobol index estimator in Gaussian process regression framework
Sensitivity analysis Gaussian process regression asymptotic normality stochas-tic simulators Sobol index
2013/6/14
Stochastic simulators such as Monte-Carlo estimators are widely used in science and engineering to study physical systems through their probabilistic representation. Global sensitivity analysis aims t...
A Semiparametric Estimator for Long-Range Dependent Multivariate Processes
Multivariate processes Long-range dependence Semiparametric estimation VARFIMA processes Asymptotic theory
2013/6/14
In this paper we propose a generalization of a class of Gaussian Semiparametric Estimators (GSE) of the fractional differencing parameter for long-range dependent multivariate time series. We generali...
Moderate deviations for a nonparametric estimator of sample coverage
Sample coverage moderate deviations Good’s estimator
2013/6/14
In this paper, we consider moderate deviations for Good's coverage estimator. The moderate deviation principle and the self-normalized moderate deviation principle for Good's coverage estimator are es...
Performance of the stochastic MV-PURE estimator in highly noisy settings
robust linear estimation reduced-rank estimation stochastic MV-PURE estimator array signal processing
2013/4/28
The stochastic MV-PURE estimator has been developed to provide linear estimation robust to ill-conditioning, high noise levels, and imperfections in model knowledge. In this paper, we investigate the ...
A closed-form estimator for the multivariate GARCH(1,1) model
Multivariate GARCH(1,1) VARMA Temporal Aggregation Es-timation
2013/4/27
We provide a closed-form estimator based on the VARMA representation for the unrestricted multivariate GARCH(1,1). We show that all parameters can be derived using basic linear algebra tools. We show ...
Variance estimation and asymptotic confidence bands for the mean estimator of sampled functional data with high entropy unequal probability sampling designs
covariance function finite population Hajek approximation Horvitz-Thompso estimator Kullback-Leibler divergence rejective sampling unequal probability sampling without replacement
2012/11/23
For fixed size sampling designs with high entropy it is well known that the variance of the Horvitz-Thompson estimator can be approximated by the H\'ajek formula. The interest of this asymptotic varia...
The Super Robustness of Maximum Likelihood Location Estimator of Exponential Power Distribution, when p < 1
The Super Robustness Maximum Likelihood Location Estimator Exponential Power Distribution p < 1
2012/9/18
We proof that statistically, the maximum likelihood location estimator of exponential power distribution is strict super robust, when p < 1.
The maximum likelihood drift estimator for mixed fractional Brownian motion
mixed fractional Brownian motion maximum likelihood estimator large sample asymptotic
2012/9/18
The paper is concerned with the maximum likelihood estimator (MLE) of the unknown drift parameterθ∈Rin the continuous-time regression model Xt =θt+Bt +BHt,t ∈[0, T] whereBt is the Brownian motion and ...
The Multivariate $S_n$ Estimator
Outlier detection robust estimation multivariate ranking multivariate statistics.
2012/9/17
In this note we introduce the MSn estimator (for Multivariate Sn) a new robust estimator of multivariate ranking. Like MVE and MCD it searches for anh-subset which mini-mizes a criterion. The differen...
A Robust, Fully Adaptive M-estimator for Pointwise Estimation in Heteroscedastic Regression
Adaptation Huber contrast Lepski’s method M-estimation minimax estimation nonparamet-ric regression pointwise estimation robust estimation.
2012/9/19
We introduce a robust and fully adaptive method for pointwise estimation in heteroscedastic regression. We allow for noise and design distributions that are unknown and fulfill very weak assumptions o...
A Subspace Estimator for Fixed Rank Perturbations of Large Random Matrices
Large Random Matrix Theory MUSIC Algorithm Extreme Eigenvalues
2011/7/6
This paper deals with the problem of parameter estimation based on certain eigenspaces of the empirical covariance matrix of an observed multidimensional time series, in the case where the time series...
An estimator for the quadratic covariation of asynchronously observed Itô processes with noise: Asymptotic distribution theory
Density estimation Kullback–Leibler divergence
2011/7/6
The article is devoted to the nonparametric estimation of the quadratic covariation of non-synchronously observed It\^o processes in an additive microstructure noise model.
Improved estimator of the entropy and goodness of fit tests in ranked set sampling
Ordered Ranked set sampling Judgement ranking Order statistic Information theory
2011/7/5
The entropy is one of the most applicable uncertainty measures in many statistical and en- gineering problems. In statistical literature, the entropy is used in calculation of the Kullback- Leibler (K...
The Asymptotic Covariance Matrix of the Odds Ratio Parameter Estimator in Semiparametric Log-bilinear Odds Ratio Models
Odds ratio asymptotic covariance matrix conditional sampling semiparametric log-linear models log-bilinear association logistic regression linear regression
2011/6/16
The association between two random variables is often of primary interest in statistical
research. In this paper semiparametric models for the association between random
vectors X and Y are consider...
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...