2 resultados para 750301 The distribution of wealth

em Bulgarian Digital Mathematics Library at IMI-BAS


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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.

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* Partially supported by CNPq (Brazil)