0
votes
0answers
56 views

Exponential integral with $x^2$ and $\cos x$

The first part is just a Gaussian integral and the second is the modified Bessel function of the first kind for $n=0$, but I couldn't find any information and what to do with their summation. Any tips ...
2
votes
0answers
194 views

Poisson exponentiation distribution family and convolution

Assume $\xi_i \sim \mathbb{F}_{\lambda_i}(x)$ are random variables from Poisson distribution. Consider random variables $\eta_i \sim \tilde{F}_{\lambda_i,t}(x)$, where $\tilde{F}_{\lambda_i,t}(x) = ...
1
vote
1answer
136 views
2
votes
2answers
165 views

Creating an exponential or power law distribution of prizes for a competition

I want to create a function that will output the prize distributions for N players given the following parameters: 1) Minimum prize distribution value (prize distribution cannot be less than this ...