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Convergence rate of Markov chain methods for genomic motif discovery
Gibbs sampler DNA slow mixing spectral gap multimodal
2013/4/27
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...
The Convergence Rate of Majority Vote under Exchangeability
Convergence Rate Majority Vote Exchangeability
2013/4/28
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...
Convergence rate for predictive recursion estimation of finite mixtures
Density estimation Kullback–Leibler divergence
2011/7/6
Predictive recursion (PR) is a fast stochastic algorithm for nonparametric estimation of mixing distributions in mixture models.
Strict Monotonicity and Convergence Rate of Titterington's Algorithm for Computing D-optimal Designs
D-optimality experimental design multiplicative algorithm
2010/3/9
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)...
On the convergence rate in the central limit theorem of some functions of the average of independent random variables
the convergence rate the central limit theorem independent random variables
2009/9/24
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.
CONVERGENCE RATE IN CLT FOR VECTOR-VALUED RANDOM FIELDS WITH SELF-N63RMALIZATIQ)N
Random fields dependence conditions CLT random matrix normalization convergence rate
2009/9/18
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...
Sup-norm convergence rate and sign concentration property of Lasso and Dantzig estimators
Linear model Lasso Dantzig Sparsity Model selection Sign consistency
2009/9/16
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...
A strong uniform convergence rate of a kernel conditional quantile estimator under random left-truncation and dependent data
Kernel estimator quantile function rate of convergence strong mixing strong uniform consistency truncated data
2009/9/16
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...
Exact Convergence Rate for the Maximum of Standardized Gaussian Increments
limit theorem random walk Shao's theorem
2009/3/20
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...