En génétique des populations, les modèles sont souvent complexes ce qui rend l'évaluation de la vraisemblance difficile, si ce n'est impossible. En revanche, des mécanismes de génération de données sont parfois disponibles ce qui explique pourquoi les méthodes d'inférence bayésienne...

Managers in the fundraising and public sectors face the constant challenge of soliciting donations from a population who may or may not have donated before. Rather than merely asking respondents what they wish to donate, it is standard practice to present a set of suggested amounts – the...

This Bayesian modeling book is intended for practitioners and applied statisticians looking for a self-contained entry to computational Bayesian statistics. Focusing on standard statistical models and backed up by discussed real datasets available from the book website, it provides an...

In this paper we derive adaptive non-parametric rates of concentration of the posterior distributions for the density model on the class of Sobolev and Besov spaces. For this purpose, we build prior models based on wavelet or Fourier expansions of the logarithm of the density. The prior models...

The original Studentization was the conversion of a sample mean departure into the familiar t-statistic, plus the derivation of the corresponding Student distribution function; the observed value of the distribution function is the observed p-value, as presented in an elemental form. We examine...

We consider the consistency of the Bayes factor in goodness of fit testing for a parametric family of densities against a non-parametric alternative. Sufficient conditions for consistency of the Bayes factor are determined and demonstrated with priors using certain mixtures of triangular densities.

Poisson processes are used in various application fields applications (public health biology, reliability and so on). In their homogeneous version, the intensity process is a deterministic constant. In their inhomogeneous version, it depends on time. To allow for an endogenous evolution of the...