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Titlebook: Workshop on Branching Processes and Their Applications; Miguel González Velasco,Inés M. Puerto,Alfonso Ram Conference proceedings 2010 Spr

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Renewal measure density for distributions with regularly varying tails of order a α ∈ (0,½]Erickson in 1979 (Trans. Amer. Math. Soc. 151: 263–291, 1970). However, explicit asymptotics for the increments are known for α ∈ (½,1] only. For smaller α one can get, generally speaking, only the lower limit of the increments. There are many examples showing that this statement cannot be improved
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Weighted conditional least squares estimation in controlled multitype branching processesviduals coexist and a control on the growth of population size is necessary at each generation. From a probabilistic viewpoint this model has been studied in Gonz’alez et al. (Bernoulli 11(3):559–570, 2005; J. Appl. Probab. 42:1015–1030, 2005; Pliska Stud. Math. Bulgar. 17: 85–96, 2005; J. Appl. Pro
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Branching processes in cell proliferation kineticsferation kinetics. The following topics are considered: distributions of discrete and continuous labels, age and residual lifetime distributions, models of leukemia cell kinetics, age-dependent branching populations with randomly chosen paths of evolution as models of progenitor cell populations (in
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