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We consider the detection of multivariate spatial clusters in the Bernoulli model with N locations, where the design distribution has weakly dependent marginals. The locations are scanned with a rec...
We show that scale-adjusted versions of the centroid-based classi- fier enjoys optimal properties when used to discriminate between two very high-dimensional populations where the principal differen...
Independent component analysis (ICA) aims at decomposing an observed random vector into statistically independent variables. Deflation-based implementations, such as the popular one-unit FastICA algo...
We consider the problem of obtaining locally D-optimal designs for factorial exper- iments with qualitative factors at two levels each with binary response. For the 22 factorial experiment with main...
We analyse the prequential plug-in codes relative to one-parameter exponential families M. We show that if data are sampled i.i.d. from some distribution outside M, then the redundancy of any plug-...
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)...
The aim of this work is to address the question of whether we can in principle design rational decision-making agents or artificial intelligences embedded in computable physics such that their decis...
We discuss the optimal design problem in regression models with long-range dependence error structure. Asymptotic optimal designs are derived and it is demonstrated that these designs depend only in...
In many applications one is interested to detect certain (known) patterns in the mean of a process with smallest delay. Using an asymptotic framework which allows to capture that feature, we study a...
An important estimation problem that is closely related to largescale multiple testing is that of estimating the null density and the proportion of nonnull effects. A few estimators have been introd...
In the paper a general zeroaum stochastic game with stopping is considered. Using the so-called penalty method the author shows the existence of the value of the game under fairly general assumptio...
Extension of Lipschitz integrands and minimization of nonconvex integral functionals. Applications to the optimal recourse problem in discrete time。
Addendum to the paper "On a general zero-sum stochastic game with optimal stopping"。
In this work the approach to the reduite is made in a simple and unified way. More precisely, we use the same probabilistic technique to study the optimal stopping problem associated with the redui...

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