W. Mlotkowski

activity

20092022

most citedCauchy-Stieltjes families with polynomial variance functions and generalized orthogonality

17 citations · 62 across the 14 of their papers we have counts for

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Showing 2013 · math.PRShow all

2 papers · 2 filters

math.PR2013★ 3 cited

Probability distributions with binomial moments

Wojciech Mlotkowski, Karol A. Penson

We prove that if $p \geq 1$ and $- 1 \leq r \leq p - 1$ then the binomial sequence $(n n p + r)$ , $n = 0, 1, ...$ , is positive definite and is the moment sequence of a probability measur…

math.PR2013★ 3 cited

The probability measure corresponding to 2-plane trees

Wojciech Mlotkowski, Karol A. Penson

We study the probability measure $μ_{0}$ for which the moment sequence is $(n 3 n) \frac{1}{n + 1}$ . We prove that $μ_{0}$ is absolutely continuous, find the density function an…