Rahimov, I.; Muttlak, H. Random sums of random vectors and multitype families of productive individuals. (English) Zbl 1064.60178 Int. J. Math. Math. Sci. 2004, No. 17-20, 975-990 (2004). 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 \textit{I. Rahimov} and \textit{H. Muttlak}, Int. J. Math. Math. Sci. 2004, No. 17--20, 975--990 (2004; Zbl 1064.60178) Full Text: DOI EuDML