H. Luschgy

发表

Foundations of Quantization for Probability Distributions

S. Graf, H. Luschgy, 2000 .

Adaptive tests for stochastic processes in the ergodic case

A. Rukhin, I. Vajda, H. Luschgy, 1993 .

Minimax character of the two‐sample χ2‐test

H. Luschgy, 1982 .

Quantization of probability distributions under norm-based distortion measures

S. Delattre, G. Pagès, S. Graf, 2004 .

Stable Convergence and Stable Limit Theorems

H. Luschgy, Eric Häusler, 2015 .

Functional quantization of Gaussian processes

Gilles Pagès, Harald Luschgy, G. Pagès, 2002 .

The local quantization behavior of absolutely continuous probabilities

Harald Luschgy, Siegfried Graf, Gilles Pages, 2010, 1009.5093.

Sharp asymptotics of the functional quantization problem for Gaussian processes

Harald Luschgy, Gilles Pages, G. Pagès, 2004 .

Functional quantization of a class of Brownian diffusions : A constructive approach

Gilles Pagès, Harald Luschgy, G. Pagès, 2006 .

High-resolution product quantization for Gaussian processes under sup-norm distortion

Harald Luschgy, Gilles Pages, G. Pagès, 2007 .

Functional quantization rate and mean regularity of processes with an application to Lévy processes

Harald Luschgy, Gilles Pages, G. Pagès, 2008 .

Asymptotically optimal quantization schemes for Gaussian processes on Hilbert spaces

Harald Luschgy, Gilles Pages, Benedikt Wilbertz, 2008 .

Asymptotic Behavior of Neyman-Pearson Tests for Autoregressive Processes

Harald Luschgy, H. Luschgy, 1994 .

Strong continuity of invariant probability charges

H. Luschgy, S. Solecki, 2004 .

Sharp asymptotics of the Kolmogorov entropy for Gaussian measures

Gilles Pagès, Harald Luschgy, G. Pagès, 2004 .

Quantization for Probability Measures in the Prokhorov Metric@@@Quantization for Probability Measures in the Prokhorov Metric

H. Luschgy, S. Graf, 2008 .

Functional quantization rate and mean pathwise regularity of processes with an application to Lévy processes

G. Pagès, H. Luschgy, 2006 .

Entropy-constrained functional quantization of Gaussian processes

S. Graf, H. Luschgy, 2005 .

Quantization of probability distributions under norm-based distortion measures II: Self-similar distributions

S. Delattre, G. Pagès, S. Graf, 2006 .

Sharp asymptotics of the functional quantization problem for Gaussian processes

G. Pagès, H. Luschgy, 2004, math/0410156.

Functional quantization rate and mean regularity of processes with an application to Lévy processes

G. Pagès, H. Luschgy, 2006, math/0601774.

Asymptotic inference for semimartingale models with singular parameter points

H. Luschgy, 1994 .

Local asymptotic quadraticity of stochastic process models based on stopping times

H. Luschgy, 1995 .

Nonparametric Statistics for Stochastic Processes - D. Bosq.

H. Luschgy, 1998 .

High-resolution product quantization for Gaussian processes under sup-norm distortion

G. Pagès, H. Luschgy, 2005, math/0511208.

Optimal quantizers for Radon random vectors in a Banach space

G. Pagès, S. Graf, H. Luschgy, 2005, J. Approx. Theory.

Moment estimates for L\'{e}vy Processes

G. Pagès, H. Luschgy, 2006, math/0607282.

Constructive quadratic functional quantization and critical dimension

G. Pagès, H. Luschgy, 2014 .

A Constructive Sharp Approach to Functional Quantization of Stochastic Processes

Harald Luschgy, Stefan Junglen, H. Luschgy, 2010, J. Appl. Math..

INVARIANT LEAST FAVOURABLE DISTRIBUTIONS AND MOST STRINGENT TESTS

H. Luschgy, 1984 .

Elimination of randomization and hunt-stein type theorems in invariant statistical decision problems

H. Luschgy, 1987 .

Moment estimates for Lévy Processes

Gilles Pagès, Harald Luschgy, G. Pagès, 2008 .

Greedy vector quantization

Gilles Pagès, Harald Luschgy, G. Pagès, 2014, J. Approx. Theory.

Fractal functional quantization of mean-regular stochastic processes

G. Pagès, S. Graf, H. Luschgy, 2010, Mathematical Proceedings of the Cambridge Philosophical Society.

Functional quantization rate and mean pathwise regularity of processes with an application to Lévy processes

G. Pagès, H. Luschgy, 2006 .

Functional Quantization and Small Ball Probabilities for Gaussian Processes

Harald Luschgy, Siegfried Graf, S. Graf, 2003, Universität Trier, Mathematik/Informatik, Forschungsbericht.

Functional Quantization of 1-dimensional Brownian diffusion processes

G. Pagès, H. Luschgy, 2003 .

Quantization for Probability Measures in the Prohorov Metric

Harald Luschgy, Siegfried Graf, S. Graf, 2009, Universität Trier, Mathematik/Informatik, Forschungsbericht.

The point density measure in the quantization of self-similar probabilities

S. Graf, H. Luschgy, 2005, Mathematical Proceedings of the Cambridge Philosophical Society.

New approach to greedy vector quantization

Harald Luschgy, Gilles Pages, Rancy El Nmeir, 2020, Bernoulli.

DISTORTION MISMATCH IN THE QUANTIZATION OF PROBABILITY MEASURES

Harald Luschgy, Gilles Pages, G. Pagès, 2006, math/0602381.

Pairwise sufficiency and invariance

H. Luschgy, 1988 .

Invariant extensions of positive operators and extreme points

H. Luschgy, 1980 .

Extreme invariant positive operators on _{}-spaces

H. Luschgy, 1978 .

Title Pairwise sufficiency and invariance

H. Luschgy, 2022 .

The Quantization of the Cantor Distribution

Harald Luschgy, Siegfried Graf, S. Graf, 1997 .

Critical dimension for quadratic functional quantization

G. Pagès, H. Luschgy, 2012 .

Quantization for probability measures with respect to the geometric mean error

Harald Luschgy, Siegfried Graf, S. Graf, 2004, Mathematical Proceedings of the Cambridge Philosophical Society.

The Quantization Dimension of Self–Similar Probabilities

Harald Luschgy, Siegfried Graf, S. Graf, 2002 .

Asymptotics of the Quantization Errors for Self-Similar Probabilities

Harald Luschgy, Siegfried Graf, S. Graf, 2000 .

Minimal L-space and Halmos-Savage criterion for majorized experiments

H. Luschgy, S. Yamada, D. Mussmann, 1988 .

Local asymptotic mixed normality for semimartingale experiments

H. Luschgy, 1992 .

Expansions for Gaussian Processes and Parseval Frames

Harald Luschgy, Gilles Pages, G. Pagès, 2009, 0902.2563.

Extreme points in the Hahn-Banach-Kantorovič setting.

W. Thomsen, H. Luschgy, 1983 .

Comparison of Shift Experiments on a Banach Space

H. Luschgy, 1987 .

Comparison of location models for stochastic processes

H. Luschgy, 1992 .

Testing one-sided hypotheses for the mean of a gaussian process

H. Luschgy, 1991 .

Minimaxity and Equivariance in Infinite Dimension

H. Luschgy, 1999 .

Rates of convergence for the empirical quantization error

Harald Luschgy, Siegfried Graf, S. Graf, 2002 .