English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

International audienceMany statistical applications require establishing central limit theorems for sums/integrals or for quadratic forms , where is a stationary process. A particularly important case is that of Appell polynomials () = (), (,) = (,), since the "Appell expansion rank" determines typically the type of central limit theorem satisfied by the functionals (), (). We review and extend here to multidimensional indices, along lines conjectured in [F. Avram and M.S. Taqqu, (2006) 259-286], a functional analysis approach to this problem proposed by [Avram and Brown, (1989) 687-695] based on the method of cumulants and on integrability assumptions in the spectral domain; several applications are presented as well

esaim. probability and statistics

On a Szegö type limit theorem, the Hölder-Young-Brascamp-Lieb inequality, and the asymptotic theory of integrals and quadratic forms of stationary fields