Almost Sure Behavior of Linear Functionals of Supercritical Branching Processes
Almost Sure Behavior of Linear Functionals of Supercritical Branching Processes
The exact a.s.behavior of any linear functional Z" • a of a supercritical positively regular p-type (1 < p < oo) Galton-Watson process {Z"} is found under a second moment hypothesis.The main new results are of iterated logarithm type, with normalizing constants depending on the decomposition of a according to …