Asymptotic Probabilities in a Critical Age-Dependent Branching Process.
Abstract
Let Z(t) denote the number of cells alive at time t in a critical Bellman-Harris age-dependent branching process, that is, where the mean number of offspring per parent is one. A comparison method is used to show for K > or = 1, and a high-order moment condition on G(t), where G(t), is the cell lifetime distribution, that in the limit as t approaches infinity t squared P(Z(t)=k) = a sub k > 0, where (a sub k) are constants. The method is also applied to the total progeny in the critical process. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 03, 1976
- Accession Number
- ADA033718
Entities
People
- Howard J. Weiner
Organizations
- Stanford University