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Asymptotic properties of maximum likelihood estimators in models with multiple change points
change-point fraction common parameter consistency convergence rate Kullback–Leibler distance within-segment parameter
2011/3/24
Models with multiple change points are used in many fields; however, the theoretical properties of maximum likelihood estimators of such models have received relatively little attention. The goal of t...
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 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...
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...
On asymptotic properties of the rank of a special random adjacency matrix
asymptotic property random matrix adjacency matrix
2009/3/23
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 PROPERTIES OF AALEN-JOHANSEN INTEGRALS FOR COMPETING RISKS DATA
Aalen-Johansen estimator cumulative incidence function Kaplan-Meier integral
2009/3/10
This paper considers the competing risks problem with randomly right-censored data. Let F(j)(t) be the cause-specific cumulative incidence function of a cause j, which is the probability of death due ...