搜索结果: 1-15 共查到“理论统计学 Inequalities”相关记录30条 . 查询时间(0.099 秒)
Modern statistical estimation via oracle inequalities
Modern statistical estimation oracle inequalities
2015/6/17
A number of fundamental results in modern statistical theory involve thresholding estimators. This survey paper aims at reconstructing the history of how thresholding rules came to be popular in stati...
Some results on a $χ$-divergence, an~extended~Fisher information and~generalized~Cramer-Rao inequalities
Some results $χ$-divergence an~extended~Fisher information generalized~Cramer-Rao inequalities
2013/6/17
We propose a modified $\chi^{\beta}$-divergence, give some of its properties, and show that this leads to the definition of a generalized Fisher information. We give generalized Cram\'er-Rao inequalit...
Anisotropic oracle inequalities in noisy quantization
Quantization Deconvolution Fast rates Margin assumption,k-means clus-tering
2013/6/13
The effect of errors in variables in quantization is investigated. We prove general exact and non-exact oracle inequalities with fast rates for an empirical minimization based on a noisy sample $Z_i=X...
The Lasso, correlated design, and improved oracle inequalities
compatibility correlation entropy high-dimensional model
2011/7/19
We study high-dimensional linear models and the $\ell_1$-penalized least squares estimator, also known as the Lasso estimator.
Sharp oracle inequalities and slope heuristic for specification probabilities estimation in general random fields
Sharp oracle inequalities slope heuristic specification probabilities estimation
2011/7/5
We provide new methods for estimation of the one-point specification probabilities in general discrete random fields.
Transportation inequalities: From Poisson to Gibbs measures
Gibbs measures Poisson point processes transportation inequalities
2011/3/21
We establish an optimal transportation inequality for the Poisson measure on the configuration space. Furthermore, under the Dobrushin uniqueness condition, we obtain a sharp transportation inequality...
Concentration Inequalities and Confidence Bands for Needlet Density Estimators on Compact Homogeneous Manifolds
Concentration Inequalities Confidence Bands Density Estimators
2011/3/21
Let $X_1,...,X_n$ be a random sample from some unknown probability density $f$ defined on a compact homogeneous manifold $\mathbf M$ of dimension $d \ge 1$. Consider a 'needlet frame' $\{\phi_{j \eta}...
Relative log-concavity and a pair of triangle inequalities
Bernoulli sum binomial approximation Hoeffding’s inequality maximum entropy
2010/10/19
The relative log-concavity ordering $\leq_{\mathrm{lc}}$ between probability mass functions (pmf's) on non-negative integers is studied. Given three pmf's $f,g,h$ that satisfy $f\leq_{\mathrm{lc}}g\le...
Sharp non-asymptotic oracle inequalities for nonparametric heteroscedastic regression models
Adaptive estimation Heteroscedastic regression Nonasymptoticestimation Nonparametric estimation Oracle inequality
2010/3/10
An adaptive nonparametric estimation procedure is constructed
for heteroscedastic regression when the noise variance depends on the
unknown regression. A non-asymptotic upper bound for a quadratic
...
Inequalities between integrals of p-stable symmetric measures on Banach spaces
Inequalities integrals of p-stable symmetric measures Banach spaces
2009/9/24
Inequalities between integrals of p-stable symmetric measures on Banach spaces。
Harnack's inequalities for Dirichlet forms and their applications to diffusion processes
Harnack's inequalities Dirichlet forms applications to diffusion processes
2009/9/24
Harnack's inequalities for Dirichlet forms and their applications to diffusion processes。
Rearrangements of sequences of random variables and exponential inequalities
Rearrangements of sequences random variables exponential inequalities
2009/9/23
Rearrangements of sequences of random variables and exponential inequalities。
Complements on decoupling inequalities for multilinear functions in stable random vectors
decoupling inequalities multilinear functions stable random vectors
2009/9/23
Complements on decoupling inequalities for multilinear functions in stable random vectors。
Semimartingale integrals via decoupling inequalities and tangent processes
Semimartingale integrals decoupling inequalities tangent processes
2009/9/23
Semimartingale integrals via decoupling inequalities and tangent processes。
Applications of the weak l(p) exponential inequalities to the laws of large numbers for weighted sums
Applications of the weak l(p) exponential inequalities the laws of large numbers
2009/9/23
Applications of the weak l(p) exponential inequalities to the laws of large numbers for weighted sums。