Buongiorno a tutti,

Vi segnalo il seguente seminario in presenza presso il Politecnico di Milano. Il seminario verrà erogato anche in modalità on-line al seguente link
https://polimi-it.zoom.us/j/98526429718

9/10/2024, ore 10:00, Aula Saleri 6° Piano, Edifico 14 “La Nave”, campus Leonardo, via Edoardo Bonardi 9, 20133 Milano.

Speaker: Jesper Moller, Aalborg University

Titolo: The sufficient digits of continuous random variables

Abstract: A general setting for nested subdivisions of a bounded real set into intervals defining the digits X_1,X_2, ... of a random variable X with a probability density function f is considered. Under the weak condition that f is almost everywhere lower semicontinuous, a coupling between X and a non-negative integer-valued random variable N is established so that X_1, ...,X_N have an interpretation as the “sufficient digits”, since the distribution of (X_{N+1}, X_{N+2}, ...) conditioned on (X_1, ...,X_N) does not depend on f. 
The importance of this coupling result and some suggestions and open problems for future research are discussed. Related papers are available on arXiv: arxiv.org/abs/2404.09525, arxiv.org/abs/2307.06685.

Contatto: mario.beraha@polimi.it

Buona giornata,
Mario Beraha