1 resultado para conditioned launch

em Bulgarian Digital Mathematics Library at IMI-BAS


Relevância:

20.00% 20.00%

Publicador:

Resumo:

The maximum M of a critical Bienaymé-Galton-Watson process conditioned on the total progeny N is studied. Imbedding of the process in a random walk is used. A limit theorem for the distribution of M as N → ∞ is proved. The result is trasferred to the non-critical processes. A corollary for the maximal strata of a random rooted labeled tree is obtained.