Asymptotic properties of supercritical age-dependent branching processes and homogeneous branching random walks

DOI10.1016/S0304-4149(99)00008-3zbMath0997.60091OpenAlexW2060371851MaRDI QIDQ1613605

Quan-sheng Liu

Publication date: 29 August 2002

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0304-4149(99)00008-3

zbMATH Keywords

momentsfunctional equationmartingalesabsolute continuityexponential momentsbranching random walksage-dependent branching processesright tailleft tailsmoments of negative orders

Mathematics Subject Classification ID

Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (17)

Asymptotic properties of expansive Galton-Watson trees ⋮ Smoothing equations for large Pólya urns ⋮ Asymptotics of the distribution and harmonic moments for a supercritical branching process in a random environment ⋮ Moments, large and moderate deviations for branching random walks with immigration in random environments ⋮ On densities for solutions to stochastic fixed point equations ⋮ Limit distributions for multitype branching processes of \(m\)-ary search trees ⋮ Harmonic moments, large and moderate deviation principles for Mandelbrot's cascade in a random environment ⋮ Moments, moderate and large deviations for a branching process in a random environment ⋮ Upper Deviations for Split Times of Branching Processes ⋮ Asymptotic properties and absolute continuity of laws stable by random weighted mean. ⋮ Large deviations for supercritical multitype branching processes ⋮ Lower deviation and moderate deviation probabilities for maximum of a branching random walk ⋮ Moments for multidimensional Mandelbrot cascades ⋮ On tails of fixed points of the smoothing transform in the boundary case ⋮ Age-dependent branching processes in random environments ⋮ On weighted branching processes in random environment. ⋮ Unnamed Item

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