Dear all,
we are glad to announce the next DEMS seminar:
*Friday, 7th June 2024*
*Time 12.00*, Seminar room 2104, Department of Economics, Management and
Statistics (DEMS)
Building U7, second floor, University of Milano - Bicocca
The speaker is Riccardo Passeggeri from Imperial College London.
*Title*: *Random signed measures*
*Abstract*: In this talk I present the theory of random signed measures and
its applications to Bayesian nonparametric statistics and to sparse random
graphs. In particular, I provide a necessary and sufficient condition for
the extension of random signed measures, which solves a 70-year-old open
problem dating back to the works of Alfred Renyi. This allows us to obtain
a canonical definition of a random signed measure. Further, I present a
representation of completely random signed measures (CRSMs), which extends
the celebrated Kingman's representation for completely random measures
(CRMs) to the real-valued case. I will also discuss some examples including
the Skellam point process, which we show to be equivalent to a simple
signed point process with independent increments, and the Gaussian random
measure.
Best wishes,
Federico Camerlenghi