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math.PR2026
Sub-Poisson distributions: Concentration inequalities, optimal variance proxies, and closure properties
Lasse Leskelä, Ian Välimaa
We introduce a nonasymptotic framework for sub-Poisson distributions with moment generating function dominated by that of a Poisson distribution. At its core is a new notion of opt…
math.PR2024
Clique and cycle frequencies in a sparse random graph model with overlapping communities
Tommi Gröhn, Joona Karjalainen, Lasse Leskelä
A statistical network model with overlapping communities can be generated as a superposition of mutually independent random graphs of varying size. The model is parameterized by th…