Random sums and branching stochastic processes

zbMath0812.60003MaRDI QIDQ1344724

Ibrahim Rahimov

Publication date: 14 February 1995

Published in: Lecture Notes in Statistics (Search for Journal in Brave)

zbMATH Keywords

local limit theoremsbranching processes with nonstationary immigrationJirina processeslimit theorems for a sum of randomly indexed sequencesreproduction dependent immigrationsupercritical and subcritical processes

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Research exposition (monographs, survey articles) pertaining to probability theory (60-02)

Related Items (14)

Asymptotic Behavior of a Controlled Branching Process with Continuous State Space ⋮ Random Sums of Independent Indicators and Generalized Reduced Processes ⋮ Some Asymptotic Results for Strongly Critical Branching Processes with Immigration in Varying Environment ⋮ Conditional least squares estimation in nonstationary nonlinear stochastic regression models ⋮ Estimation of the offspring mean in a supercritical or near-critical size-dependent branching process ⋮ Asymptotic distributions for weighted estimators of the offspring mean in a branching process ⋮ Asymptotic properties of the Markov branching process with immigration ⋮ Sevastyanov branching processes with non-homogeneous Poisson immigration ⋮ Variance Estimators in Critical Branching Processes With Non-Homogeneous Immigration ⋮ Asymptotic distribution of the CLSE in a critical process with immigration ⋮ Estimation of the offspring mean in a supercritical branching process with non-stationary immigration ⋮ Functional limit theorems for critical processes with immigration ⋮ Rank-dependent Galton‒Watson processes and their pathwise duals ⋮ Asymptotically Normal Estimators for the Offspring Mean in the Branching Process with Immigration

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