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