Limit theorems for continuous state branching processes with immigration

DOI10.1090/S0002-9904-1972-12938-0zbMath0252.60031MaRDI QIDQ5665959

Mark A. Pinsky

Publication date: 1972

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

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

Related Items

Continuous time mixed state branching processes and stochastic equations ⋮ Branching processes. II ⋮ Stochastic equation and exponential ergodicity in Wasserstein distances for affine processes ⋮ Limit theorems for continuous-state branching processes with immigration ⋮ Smoothness of continuous state branching with immigration semigroups ⋮ Small value probabilities for continuous state branching processes with immigration ⋮ Wasserstein-type distances of two-type continuous-state branching processes in Lévy random environments ⋮ Strong feller and ergodic properties of the (1+1)-affine process ⋮ The sector constants of continuous state branching processes with immigration ⋮ On the limit distributions of continuous-state branching processes with immigration ⋮ \(\mathbb N\)-measure for continuous state branching processes and its application ⋮ Unnamed Item ⋮ Local extinction in continuous-state branching processes with immigration ⋮ Population Dynamics and Random Genealogies ⋮ Asymptotic properties of maximum likelihood estimator for the growth rate for a jump-type CIR process based on continuous time observations ⋮ Smaller population size at the MRCA time for stationary branching processes ⋮ Some results for non-supercritical Galton-Watson processes with immigration ⋮ Estimation for discretely observed continuous state branching processes with immigration ⋮ Continuous branching processes and spectral positivity ⋮ Continuum random trees and branching processes with immigration ⋮ On the hitting times of continuous-state branching processes with immigration ⋮ Existence of limiting distribution for affine processes ⋮ Ergodicity of affine processes on the cone of symmetric positive semidefinite matrices ⋮ Ergodicities and Exponential Ergodicities of Dawson--Watanabe Type Processes

Cites Work

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• Continuous state branching processes
• A theory of dams with continuous input and a general release rule
• Functional equations and the Galton-Watson process
• A stochastic integral in storage theory
• Limit theorems for the Galton-Watson process with time-dependent immigration