Revision as of 00:30, 20 April 2025 by Bot (Created page with "<div class="d-none"><math> \newcommand{\mathds}{\mathbb}</math></div>Find a probability measure <math>\nu</math> whose moments are given by <math display="block"> M_k(\nu)=|NC_2(k)| </math> then find as well a probability measure <math>\eta</math> whose moments are given by <math display="block"> M_k(\eta)=|NC(k)| </math> where <math>NC</math> stands for “noncrossing”. Then try as well the parametric case.")
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Apr 20'25

Exercise

[math] \newcommand{\mathds}{\mathbb}[/math]

Find a probability measure [math]\nu[/math] whose moments are given by

[[math]] M_k(\nu)=|NC_2(k)| [[/math]]

then find as well a probability measure [math]\eta[/math] whose moments are given by

[[math]] M_k(\eta)=|NC(k)| [[/math]]

where [math]NC[/math] stands for “noncrossing”. Then try as well the parametric case.