Results 1  10
of
1,071
Lectures on the central limit theorem for empirical processes
 Probability and Banach Spaces
, 1986
"... Abstract. Concentration inequalities are used to derive some new inequalities for ratiotype suprema of empirical processes. These general inequalities are used to prove several new limit theorems for ratiotype suprema and to recover anumber of the results from [1] and [2]. As a statistical applica ..."
Abstract

Cited by 135 (9 self)
 Add to MetaCart
Abstract. Concentration inequalities are used to derive some new inequalities for ratiotype suprema of empirical processes. These general inequalities are used to prove several new limit theorems for ratiotype suprema and to recover anumber of the results from [1] and [2]. As a statistical
Concentration inequalities and asymptotic results for ratio type empirical processes
 ANN. PROBAB
, 2006
"... Let F be a class of measurable functions on a measurable space (S, S) with values in [0, 1] and let Pn = n −1 n ∑ δXi i=1 be the empirical measure based on an i.i.d. sample (X1,...,Xn) from a probability distribution P on (S, S). We study the behavior of suprema of the following type: sup rn<σP f ..."
Abstract

Cited by 40 (5 self)
 Add to MetaCart
suited for estimating localized suprema. With this technique, we extend to function classes most of the known results on ratio type suprema of empirical processes, including some of Alexander’s results for VC classes of sets. We also consider applications of these results to several important problems
Realization of Experiments with Image Quality of Fingerprints
"... This article introduces briefly the theory for estimation of fingerprint image quality. This is followed by the description of experiments with fingerprint image quality, concretely image contrast, mean value and number of papillary lines in fingerprint using the scanners Suprema. ..."
Abstract

Cited by 3 (0 self)
 Add to MetaCart
This article introduces briefly the theory for estimation of fingerprint image quality. This is followed by the description of experiments with fingerprint image quality, concretely image contrast, mean value and number of papillary lines in fingerprint using the scanners Suprema.
On the Convergence of Monte Carlo Maximum Likelihood Calculations
 Journal of the Royal Statistical Society B
, 1992
"... Monte Carlo maximum likelihood for normalized families of distributions (Geyer and Thompson, 1992) can be used for an extremely broad class of models. Given any family f h ` : ` 2 \Theta g of nonnegative integrable functions, maximum likelihood estimates in the family obtained by normalizing the the ..."
Abstract

Cited by 72 (5 self)
 Add to MetaCart
Monte Carlo maximum likelihood for normalized families of distributions (Geyer and Thompson, 1992) can be used for an extremely broad class of models. Given any family f h ` : ` 2 \Theta g of nonnegative integrable functions, maximum likelihood estimates in the family obtained by normalizing the the functions to integrate to one can be approximated by Monte Carlo, the only regularity conditions being a compactification of the parameter space such that the the evaluation maps ` 7! h ` (x) remain continuous. Then with probability one the Monte Carlo approximant to the log likelihood hypoconverges to the exact log likelihood, its maximizer converges to the exact maximum likelihood estimate, approximations to profile likelihoods hypoconverge to the exact profile, and level sets of the approximate likelihood (support regions) converge to the exact sets (in Painlev'eKuratowski set convergence). The same results hold when there are missing data (Thompson and Guo, 1991, Gelfand and Carlin, 19...
An Inequality with Applications to Structured Sparsity and Multitask Dictionary Learning
"... From concentration inequalities for the suprema of Gaussian or Rademacher processes an inequality is derived. It is applied to sharpen existing and to derive novel bounds on the empirical Rademacher complexities of unit balls in various norms appearing in the context of structured sparsity and multi ..."
Abstract
 Add to MetaCart
From concentration inequalities for the suprema of Gaussian or Rademacher processes an inequality is derived. It is applied to sharpen existing and to derive novel bounds on the empirical Rademacher complexities of unit balls in various norms appearing in the context of structured sparsity
Communicated by Shair Ahmad
, 2004
"... There are many notions of solutions of nonlinear elliptic partial differential equations. This paper is concerned with solutions which are obtained as suprema (or infima) of socalled subfunctions (superfunctions) or viscosity subsolutions (viscosity supersolutions). The paper also explores the rel ..."
Abstract
 Add to MetaCart
There are many notions of solutions of nonlinear elliptic partial differential equations. This paper is concerned with solutions which are obtained as suprema (or infima) of socalled subfunctions (superfunctions) or viscosity subsolutions (viscosity supersolutions). The paper also explores
Combined Multiple Testing by Censored Empirical Likelihood
, 2006
"... We propose a new procedure for combining multiple tests in samples of rightcensored observations. The new method is based on multiple constrained censored empirical likelihood where the constraints are formulated as linear functionals of the cumulative hazard functions. We prove a version of Wilks ..."
Abstract

Cited by 2 (1 self)
 Add to MetaCart
by combining different weighted logrank tests. A real data example is given using the logrank and GehanWilcoxon tests. In a simulation study, we compare the new method to different weighted logrank statistics, Renyitype suprema, and maximin efficiency robust tests. The empirical results demonstrate that
Nonparametric inferences on conditional quantile processes’, unpublished manuscript
, 2007
"... This paper is concerned with tests of restrictions on the sample path of conditional quantile processes. These tests are tantamount to assessments of lack of fit for models of conditional quantile functions or more generally as tests of how certain covariates affect the distribution of an outcome v ..."
Abstract

Cited by 1 (0 self)
 Add to MetaCart
variable of interest. This paper extends tests of the generalized likelihood ratio (GLR) type as introduced by Fan et al. (2001) to nonparametric inference problems regarding conditional quantile processes. As such, the tests proposed here present viable alternatives to existing methods based
Guessing subject to distortion
 IEEE Trans. Inform. Theory
, 1998
"... Abstract — We investigate the problem of guessing a random vector ˆ within distortion level h. Our aim is to characterize the best attainable performance in the sense of minimizing, in some probabilistic sense, the number of required guesses q@ˆA until the error falls below h. The underlying motivat ..."
Abstract

Cited by 35 (5 self)
 Add to MetaCart
Abstract — We investigate the problem of guessing a random vector ˆ within distortion level h. Our aim is to characterize the best attainable performance in the sense of minimizing, in some probabilistic sense, the number of required guesses q@ˆA until the error falls below h. The underlying motivation is that
Results 1  10
of
1,071