Let {X i ;i 1} be the inter-renewal intervals of a renewal process gener b) Find the PMF of the number of arrivals of the generalized renewal process at each epoch at which arrivals occur. c) Explain...

b) Find the PMF of the number of arrivals of the generalized renewal process at each epoch at which arrivals occur.

c) Explain how to view the generalized renewal process as an ordinary renewal process with inter-renewal intervals {Y_i; i ≤ 1} and bulk arrivals at each renewal epoch.

d) When a generalized renewal process is viewed as an ordinary renewal process with bulk arrivals, what is the distribution of the bulk arrivals? (The point of this part is to illustrate that bulk arrivals on an ordinary renewal process are considerably more general than generalized renewal processes.)