The Gauss center research in multiscale scientific computation.
The HPV vaccination strategy: could male vaccination have a significant impact?
The influence of random number generators on graph partitioning algorithms.
The inverse of the star-discrepancy depends linearly on the dimension
The Kendall theorem and its application to the geometric ergodicity of Markov chains
We give an improved quantitative version of the Kendall theorem. The Kendall theorem states that under mild conditions imposed on a probability distribution on the positive integers (i.e. a probability sequence) one can prove convergence of its renewal sequence. Due to the well-known property (the first entrance last exit decomposition) such results are of interest in the stability theory of time-homogeneous Markov chains. In particular this approach may be used to measure rates of convergence of...
The Kolmogorov-Smirnov distance as criterion of choice of estimators with application to the first order auto-regressive case : a Monte Carlo study
The Lattice Structure of Nonlinear Congruential Pseudorandom Numbers.
The locally best estimators of the first and second order parameters in epoch regression models
The multisample version of the Lepage test
The two-sample Lepage test, devised for testing equality of the location and scale parameters against the alternative that at least for one of the parameters the equality does not hold, is extended to the general case of sampled populations. It is shown that its limiting distribution is the chi-square distribution with degrees of freedom. This -sample statistic is shown to yield consistent test and a formula for its noncentrality parameter under Pitman alternatives is derived. For some particular...
The Mumford-Shah conjecture in image processing
The N-Armed Bandit with Unimodal Structure.
The period lengths of inversive congruential recursions
The “progressive mixture” estimator for regression trees
The Serial Test for Pseudo-Random Numbers Generated by the Linear Congruential Method.
The smoothness criterion as a trend diagnostic.
The steepest descent method for forward-backward SDEs.
The Stepwise Regression Algorithm Seen from the Statistician's Point of View
The strong pointwise convergence of nearest neighbor function fitting algorithm with applications to system identification
The Sub-Lattice Structure of Linear Congruential Random Number Generators.
The time needed for estimation of a functional by the Monte Carlo method