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We analyze the convergence rate of a simplified version of a popular Gibbs sampling method used for statistical discovery of gene regulatory binding motifs in DNA sequences. This sampler satisfies a v...
Majority vote plays a fundamental role in many applications of statistics, such as ensemble classifiers, crowdsourcing, and elections. When using majority vote as a prediction rule, it is of basic int...
Predictive recursion (PR) is a fast stochastic algorithm for nonparametric estimation of mixing distributions in mixture models.
We study a class of multiplicative algorithms introduced by Silvey et al. (1978) for com- puting D-optimal designs. Strict monotonicity is established for a variant considered by Titterington (1978)...
This note gives the convergence rate in the central limit theorem and the random central limit theorem of some functions of the average of independent random variables.
Statistical version of the central limit theorem (CLT) with random matrix normalization is established for random fields with valuea in a space Rk (k 3 1). Dependence structure of the field under c...
We derive the l∞ convergence rate simultaneously for Lasso and Dantzig estimators in a high-dimensional linear regression model under a mutual coherence assumption on the Gram matrix of the design and...
In this paper we study some asymptotic properties of the kernel conditional quantile estimator with randomly left-truncated data which exhibit some kind of dependence. We extend the result obtained by...
We prove an almost sure limit theorem on the exact convergence rate of the maximum of standardized gaussian random walk increments. This gives a more precise version of Shao's theorem ( Shao, Q.-M., 1...

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