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math.PR2025
A note on mixed Poisson distributions
Markus Kuba
In this note we discuss additional properties of mixed Poisson distributions. We discuss the convergence of mixed Poisson distributions to its mixing distribution for the scaling p…
math.PR2024
On Pólya-Young urn models and growth processes
Markus Kuba
This work is devoted to Pólya-Young urns, a class of periodic Pólya urns of importance in the analysis of Young tableaux. We provide several extension of the previous results of Ba…
math.PR2024
On affine multi-color urns grown under multiple drawing
Joshua Sparks, Markus Kuba, Srinivasan Balaji +1
Early investigation of Pólya urns considered drawing balls one at a time. In the last two decades, several authors considered multiple drawing in each step, but mostly for schemes…