How could we identify a distribution that follows Poisson distribution given we only have qualitative knowledge about the distribution?
Moreover, what is the relationship between the form of the probability mass function of Poisson distribution and an event that is described by Poisson process?
I understand that the pmf of Poisson can be derived from limiting n in the pmf of binomial distribution to infinity given the probability of one event = expected value/n But what is the relationship between this treatment and the Poisson process?