Accession Number:

ADA065056

Title:

Limit Probabilities for Critical Age Dependent Branching Processes with Immigration

Descriptive Note:

Technical rept.

Corporate Author:

STANFORD UNIV CA DEPT OF STATISTICS

Personal Author(s):

Report Date:

1979-01-15

Pagination or Media Count:

23.0

Abstract:

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.

Subject Categories:

  • Biology
  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE