2 problems

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The universality conjecture for compound Poisson limits of inhomogeneous INAR(1) processes
Universality conjecture. Every compound Poisson measure can appear as a limiting distribution of an inhomogeneous INAR(1) process.
Conjectureopencompound-poisson-distributions probability-theory time-seriesarXiv posted 2 days ago
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Upper-bound conjecture for limiting cumulants of the $Y^{(1,q)}$ -model
Let $q$ and $k$ be large, let $V_1$ and $V_2$ be the model-dependent quantities appearing in the limiting cumulants, and set … Let $\upsilon(s)$ be the function defined through the…
Conjectureopencompound-poisson-distributions cumulants random-graphsarXiv posted 2 days ago

The universality conjecture for compound Poisson limits of inhomogeneous INAR(1) processes