- #1
jacobcdf
- 5
- 0
I have a single parameter discrete probability distribution defined over the domain of non-negative integers with pmf in k of:
[tex]Pr(k;L) = \frac{L^{k}}{k! * k! * I_{0}(2*\sqrt{L})}[/tex]
Where [tex]I_{0}()[/tex] is the modified Bessel function of the first kind with order 0.
I do know that [tex]E(k^{2}) = L[/tex].
Can anyone come up with a closed form for the distribution mean?
Does anyone recognize this distribution?
Thanks in advance,
J.
[tex]Pr(k;L) = \frac{L^{k}}{k! * k! * I_{0}(2*\sqrt{L})}[/tex]
Where [tex]I_{0}()[/tex] is the modified Bessel function of the first kind with order 0.
I do know that [tex]E(k^{2}) = L[/tex].
Can anyone come up with a closed form for the distribution mean?
Does anyone recognize this distribution?
Thanks in advance,
J.
Last edited: