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Note on asymptotic normality of kernel density estimator for linear process under short-range dependence
asymptotic normality kernel density estimator linear process short-range dependence
2009/9/21
Wc mnf;i&r the paablem of density estimation for
m a one-sided linear prosees X, = zt _ , a, Z, , with i.id square iategra-
Me kovatims - We prove that under weak contritions on
(ai)&, which imply ...
Asymptotic behavior of some random splitting schemes
Splitting schemes asymptotic behavior Markov chains stationary distribution contraction principle
2009/9/21
We consider three new schemes of random splitting of
a unit interval. These schemes am related to settings considered earlier
in literature. Essentially we are concerned with asymptotic behavior of
...
DATA-DRIVEN SCORE TESTS FOR HOMOSCEDASTIC LINEAR REGRESSION MODEL:ASYMPTOTIC RESULTS
Efficient score hypothesis testing data-driven test linear regression selection rule
2009/9/18
We describe and investigate new tests for testing the
validity of a semiparametric random-design linear regression model.
The tests were introduced in Inglot and Ledwina (2006a, b). We repeat
here ...
ASYMPTOTIC DISTRIBUTION OF UNBIASED LINEAR ESTIMATORS IN THE PRESENCE OF HEAVY-TAILED STOCHASTIC REGRESSORS AND RESIDUALS
Asymptotic distribution rate of convergence stochastic regressor stable non-Gaussian
2009/9/18
Under the symmetric a-stable distributional assumption
for the disturbances, Blattberg and Sargent [3] consider unbiased linear
estimators for a regression model with non-stochastic regressors.
We ...
ASYMPTOTIC PROPERTIES OF PERIODOGRAM FOR ALMOST PERIODICALLY CORRELATED TIME SERIES
Periodogram almost periodically correlated time series consistency
2009/9/18
The main purpose of this paper is to establish the asymptotic
properties of the expectation and variance of periodogram for nonstationary,
almost periodically correlated time series. We expand our c...
Asymptotic Normality of Estimates for a Class of Stochastic Epidemic Models
Asymptotic Normality Stochastic Epidemic Models
2009/9/17
Asymptotic Normality of Estimates for a Class of Stochastic Epidemic Models。
Asymptotic Efficiency of Method of Moments Estimators Under Null Intercept Measurement Error Regression Models
Asymptotic Efficiency Null Intercept Measurement Error Regression Models
2009/9/17
Asymptotic Efficiency of Method of Moments Estimators Under Null Intercept Measurement Error Regression Models。
Asymptotic properties of an estimator of the drift coefficients of multidimensional Ornstein-Uhlenbeck processes that are not necessarily stable
Ornstein-Uhlenbeck processes stable process drift coefficient matrix estimation consistency asymptotic efficiency
2009/9/16
In this paper, we investigate the consistency and asymptotic efficiency of an estimator of the drift matrix, $F$, of Ornstein-Uhlenbeck processes that are not necessarily stable. We consider all the c...
Asymptotic properties of false discovery rate controlling procedures under independence
Multiple hypothesis testing Benjamini-Hochberg procedure FDP FDR
2009/9/16
We investigate the performance of a family of multiple comparison procedures for strong control of the False Discovery Rate (FDR). The FDR is the expected False Discovery Proportion (FDP), that is, th...
On the asymptotic properties of the group lasso estimator for linear models
Least Squares Sparsity Group-Lasso Model Selection Oracle Inequalities Persistence
2009/9/16
We establish estimation and model selection consistency, prediction and estimation bounds and persistence for the group-lasso estimator and model selector proposed by Yuan and Lin (2006) for least squ...
Functional asymptotic confidence intervals for a common mean of independent random variables
Lindeberg's condition symmetric random variable Student statistic Student process Wiener process functional central limit theorem
2009/9/16
We consider independent random variables (r.v.'s) with a common mean $mu$ that either satisfy Lindeberg's condition, or are symmetric around $mu$. Present forms of existing functional central limit th...
Asymptotic behavior of random determinants in the Laguerre, Gram and Jacobi ensembles
Random matrices Wishart ensemble Laguerre ensemble Jacobi ensemble Gram ensemble Hadamard ratio determinant invariance principle large deviations
2009/6/12
Asymptotic behavior of random determinants in the Laguerre, Gram and Jacobi ensembles.
Asymptotic Distribution of Coordinates on High Dimensional Spheres
Asymptotic Distribution Coordinates Dimensional Sphere
2009/3/27
The coordinates xi of a point x = (x1, x2,..., xn) chosen at random according to a uniform distribution on the l2(n)-sphere of radius n1/2 have approximately a normal distribution when n is large. The...
Consider the matrix Δn = (( I(Xi + Xj > 0) ))i,j =1,2,...,n where Xi are i.i.d. and their distribution is continuous and symmetric around 0. We show that the rank rn of this matrix is equal in dist...
Asymptotic results for empirical measures of weighted sums of independent random variables
Asymptotic results empirical measures weighted sums independent random variables
2009/3/27
We investigate the asymptotic behavior of weighted sums of independent standardized random variables with uniformly bounded third moments. The sequence of weights is given by a family of rectangular m...