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I'm reading the following paper: https://academic.oup.com/bioinformatics/article/32/1/122/1743683 and in Figure 3 (Section 4.4) the authors have shown some vertex degree distributions: enter image ...

I am working on a problem and I encountered the following situation: $(N(t): t \ge 0)$ is a Poisson process with parameter $\lambda t $. If $T_{n} = \sum_{i=1}^n W_i$ represents the $n^\text{th}$ ...

I asked and bountied this question at math SE but didn't get any answers, so I suspect that only experts (if anyone) may know the answer. The mixed Poisson distribution and compound Poisson ...

Consider the probability mass function of the Poisson distribution given a mean $\lambda$: \begin{equation} \mathbb{P}\left(Y=k|\lambda\right)=\frac{e^{-\lambda} \lambda^{k}}{k !} \end{equation} By ...

The $n$th cumulant $\kappa_n$ of a probability distribution for $n\ge2$ is functional that is a polynomial in the first $n$ moments of the distribution, that has the properties of $(1)$ homogeneity, $(...