×

Random sums of random vectors and multitype families of productive individuals. (English) Zbl 1064.60178

Summary: We prove limit theorems for a family of random vectors whose coordinates are a special form of random sums of Bernoulli random variables. Applying these limit theorems, we study the number of productive individuals in \(n\)-type indecomposable critical branching stochastic processes with types of individuals \(T_{1},\dotsc,T_{n}\).

MSC:

60J80 Branching processes (Galton-Watson, birth-and-death, etc.)
60G70 Extreme value theory; extremal stochastic processes
PDFBibTeX XMLCite
Full Text: DOI EuDML