Résumé : We present an extension of a theorem by Michael Drmota and Michèle Soria  that can be used to identify the limiting distribution for a class of combinatorial schemata. This is achieved by determining analytical and algebraic properties of the associated bivariate generating function. We give sufficient conditions implying a half-normal limiting distribution, extending the known conditions leading to either a Rayleigh, a Gaussian or a convolution of the last two distributions. Finally, we present some applications to lattice path and tree enumeration, images and preimages in random mappings.
|Dernière modification : Monday 24 January 2022||Contact pour cette page : Cyril.Banderier at lipn.univ-paris13.fr|