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Correspondance

A. Morel — 1871

Nouvelles annales de mathématiques : journal des candidats aux écoles polytechnique et normale

Les -values comme votes d'experts

Guy Morel — 2010

ESAIM: Probability and Statistics

The -values are often implicitly used as a measure of evidence for the hypotheses of the tests. This practice has been analyzed with different approaches. It is generally accepted for the one-sided hypothesis problem, but it is often criticized for the two-sided hypothesis problem. We analyze this practice with a new approach to statistical inference. First we select good decision rules without using a loss function, we call them experts. Then we define a probability distribution on the space of...

Weak convergence of summation processes in Besov spaces

Bruno Morel — 2004

Studia Mathematica

We prove invariance principles for partial sum processes in Besov spaces. This functional framework allows us to give a unified treatment of the step process and the smoothed process in the same parametric scale of function spaces. Our functional central limit theorems in Besov spaces hold for i.i.d. sequences and also for a large class of weakly dependent sequences.

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