Limit Probabilities for Critical Age Dependent Branching Processes with Immigration
STANFORD UNIV CA DEPT OF STATISTICS
Pagination or Media Count:
Let Z sub Ot, N sub O t denote, respectively, the number of cells alive at t and the total progeny born by t in a process with a random number of new cells introduced at renewal epochs, each new cell initiating a critical age- dependent branching process. As t approaches infinity, the forms of PZ sub O t k and PN sub O t k are obtained for k 1,2,... and k 0,1,2,..., respectively. A multi-dimensional version and extension are indicated.
- Statistics and Probability