×

The many-to-few lemma and multiple spines. (English. French summary) Zbl 1361.60076

Summary: We develop a simple and intuitive identity for calculating expectations of weighted \(k\)-fold sums over particles in branching processes, generalising the well-known many-to-one lemma.

MSC:

60J80 Branching processes (Galton-Watson, birth-and-death, etc.)
60G50 Sums of independent random variables; random walks