Assignment:
1. Mark which of the following matrices can be the infinitesimal generator matrix of a BDP.
2. Consider a pure-death process with constant death rates, that is to say, a BDP having birth rates identically equal to zero and death rates µj = µ > 0 for j = 1, 2,... Suppose that initially the population is composed of m members, that is, pm(0) = 1 and pj(0) = 0 for any j /= m. Draw the state flow diagram and determine the time-dependent behavior of the state probabilities for such a process. What is the asymptotic state probability vector?