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A nonparametric empirical Bayes framework for large-scale multiple testing
Dirichlet process marginal likelihood mixture model
2011/7/6
We propose a flexible and identifiable version of the two-groups model, motivated by hierarchical Bayes considerations, that features an empirical null and a semiparametric mixture model for the non-n...
Missing Data Imputation and Corrected Statistics for Large-Scale Behavioral Databases
missing data imputation statistics corrected for missing data item performance behavioral databases model goodness of fit
2011/3/23
This paper presents a new methodology to solve problems resulting from missing data in large-scale item performance behavioral databases. Useful statistics corrected for missing data are described, an...
On the Zero-One Law and the Law of Large Numbers for Random Walk in Mixing Random Environment
Zero-One Law Random Walk Mixing Random Environment
2009/4/7
We prove a weak version of the law of large numbers for multi-dimensional finite range random walks in certain mixing elliptic random environments. This already improves previously existing results, w...
Large and Moderate Deviations for Hotelling's T^2-Statistics
random variable deviation normal law Hotelling's T^2-Statistics
2009/4/1
Let X , X1, X 2 , ... be i.i.d. R d-valued random variables. We prove large and moderate deviations for Hotelling's T2-statistic when X is in the generalized domain of attraction of the normal law.
On the strong law of large numbers for d-dimensional arrays of random variables
large numbers d-dimensional arrays random variables
2009/3/31
In this paper, we provide a necessary and sufficient condition for general d-dimensional arrays of random variables to satisfy strong law of large numbers. Then, we apply the result to obtain some str...
A simple proof of the Poincare inequality for a large class of probability measures
proof Poincare inequality probability measures
2009/3/19
Abstract. We give a simple and direct proof of the existence of a spectral gap under some Lyapunov type condition which is satisfied in particular by log-concave probability measures on Rn. The pro...