I am trying to identify the distribution of my variable, $X$. It measures goals per minute of soccer players. Possible values are $[0,inf]$ and they are non integers. I believe this to be an exponential distribution because Poisson measures integers and we are dealing with the successive events over continual time not discrete.
If this is a Poisson distribution, what should I use as the data when plotting or comparing distributions? Every time I use the rate metric, I trigger an error for things like
fitdist(x,"pois") in R. When I use exponential distributions, everything works.
Also, is there a way to estimate $\lambda$ generally or do you do it for discrete time periods?