Key points are not available for this paper at this time.
Abstract Galton-Watson forests consisting of N rooted trees and n non-root vertices are considered. The distribution of the forest is determined by that of critical branching process with infinite variance and regularly varying tail of the progeny distribution. We prove limit theorem for the maximal size of a tree in a forest as N , n → ∞ in such a way that n/N → ∞. Our conditions are significantly wider than was previously known.
Yuriy L. Pavlov (Thu,) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: