In order to simulate a process I considered two options:
- number of items received follows a Poisson distribution λ
- number of items received follows a Negative Binomial distribution (r,p): following Wikipedia definition
I'd like to model both scenarios, customizing the inter-arrival time of the items.
For option 1 (Poisson) the inter-arrival time follows an exponential distribution of λ.
Which distribution (and which is the relation between parameters) should I use?
Thank you very much :)
EDIT: Sorry if I didn't explain myself well. Having a Negative Binomial distribution to model the number of arrivals, I'd like to know if the inter-arrival time of arrivals follows a specific distribution. (the same way as a Poisson distribution is related to an exponential distribution, having both the same parameter λ)