Luca Pratelli

Limit theorems for a class of identically distributed random variables

A new type of stochastic dependence for a sequence of random variables is introduced and studied. Precisely, (Xn)n≥1 is said to be conditionally identically distributed (c.i.d.), with respect to a filtration

Almost sure weak convergence of random probability measures

(\mathcal{G}_{n})_{n\geq 0}

A central limit theorem and its applications to multicolor randomly reinforced urns

, if it is adapted to

Rate of convergence of predictive distributions for dependent data

(\mathcal{G}_{n})_{n\geq 0}

CENTRAL LIMIT THEOREMS FOR AN INDIAN BUFFET MODEL WITH RANDOM WEIGHTS

and, for each n≥0, (Xk)k>n is identically distributed given the past

A note on a universal random variate generator for integer-valued random variables

\mathcal{G}_{n}

Universal methods for generating random variables with a given characteristic function

. In case

Trivial intersection of σ-fields and Gibbs sampling

\mathcal{G}_{0}=\{\varnothing,\Omega\}

Exchangeable Sequences Driven by an Absolutely Continuous Random Measure

and

Design-based asymptotics for two-phase sampling strategies in environmental surveys

\mathcal{G}_{n}=\sigma(X_{1},\ldots,X_{n})