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Convergence and asymptotic normality of variational Bayesian approximations for exponential family models with missing values
Convergence asymptotic normality variational Bayesian approximations exponential family models missing values
2012/9/19
We study the properties of variational Bayes approximations for exponential family mod-els with missing values. It is shown that the iterative algorithm for obtaining the varia-tional Bayesian estimat...
Asymptotic Generalization Bound of Fisher's Linear Discriminant Analysis
Asymptotic Generalization Bound Fisher's Linear Discriminant Analysis
2012/9/17
Fisher’s linear discriminant analysis (FLDA) is an important dimension reduction method in sta-tistical pattern recognition. It has been shown that FLDA is asymptotically Bayes optimal under the homos...
Asymptotic normality of the optimal solution in multiresponse surface methodology
Asymptotic normality multiresponse surface optimisation sensitivity analysis mathematical programming
2012/9/19
In this work is obtained an explicit form for the perturbation effect on the matrix of regression coefficients on the optimal solution in multiresponse surface methodology. Then, the sensitivity analy...
Asymptotic Normality of Maximum Likelihood and its Variational Approximation for Stochastic Blockmodels
network statistics stochastic blockmodeling, varia-tional methods maximum likelihood
2012/9/18
Variational methods for parameter estimation are an activere-search area, potentially offering computationally tractable heuristics with theoretical performance bounds. We build on recent work that ap...
Asymptotic Efficiency of Goodness-of-fit Tests for the Power Function Distribution Based on Puri--Rubin Characterization
Power function distribution,U-statistics characterizations Bahadur efficiency
2012/9/18
We construct integral and supremum type goodness-of-fit tests for the family of power distribution functions. Test statistics are functionals of U−empirical processes and are based on the classi...
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...