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20042009
most citedAnalysis of the Rosenblatt process

222 citations

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math.ST2008

Estimating the Number of Components in a Mixture of Multilayer Perceptrons

Madalina Olteanu, Joseph Rynkiewicz

BIC criterion is widely used by the neural-network community for model selection tasks, although its convergence properties are not always theoretically established. In this paper…

math.ST2008

Efficient Estimation of Multidimensional Regression Model using Multilayer Perceptrons

Joseph Rynkiewicz

This work concerns the estimation of multidimensional nonlinear regression models using multilayer perceptrons (MLPs). The main problem with such models is that we need to know the…

math.ST2008★ 4 cited

Spatial modelling for mixed-state observations

Cécile Hardouin, Jian-Feng Yao

In several application fields like daily pluviometry data modelling, or motion analysis from image sequences, observations contain two components of different nature. A first part…

math.ST2007

Detecting abrupt changes of the long-range dependence or the self-similarity of a Gaussian process

Jean-Marc Bardet, Imen Kammoun

In this paper, an estimator of instants ( is known) of abrupt changes of the parameter of long-range dependence or self-similarity is proved to satisfy a limit theorem with…

math.ST2007

Theoretical Aspects of the SOM Algorithm

Marie Cottrell, Jean-Claude Fort, Gilles Pagès

The SOM algorithm is very astonishing. On the one hand, it is very simple to write down and to simulate, its practical properties are clear and easy to observe. But, on the other h…

math.ST2007

Dependent Lindeberg central limit theorem and some applications

Jean-Marc Bardet, Paul Doukhan, Gabriel Lang +1

In this paper, a very useful lemma (in two versions) is proved: it simplifies notably the essential step to establish a Lindeberg central limit theorem for dependent processes. The…