Limit theorems for multitype continuous time Markov branching processes

DOI10.1007/BF00538753zbMath0181.21101OpenAlexW3015119716MaRDI QIDQ5571426

Krishna B. Athreya

Publication date: 1969

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00538753

zbMATH Keywords

probability theory

Related Items (20)

Stable central limit theorems for super Ornstein-Uhlenbeck processes. II. ⋮ Functional central limit theorems for supercritical superprocesses ⋮ Almost Sure Behavior of Linear Functionals of Supercritical Branching Processes ⋮ Limit theorems for multitype continuous time Markov branching processes ⋮ Branching processes. I ⋮ Some refinements in the theory of supercritical multitype Markov branching processes ⋮ Central limit theorems for urn models ⋮ Limit theorems for discrete multitype branching processes counted with a characteristic ⋮ Ergodic Behaviour of a Multi-Type Growth-Fragmentation Process Modelling the Mycelial Network of a Filamentous Fungus ⋮ Central limit theorems for super Ornstein-Uhlenbeck processes ⋮ Central limit theorems for supercritical branching Markov processes ⋮ Central limit theorems for a class of irreducible multicolor urn models ⋮ Moderate deviation principles for bifurcating Markov chains: case of functions dependent of one variable ⋮ Stable central limit theorems for super Ornstein-Uhlenbeck processes ⋮ Central limit theorems for supercritical superprocesses ⋮ Stochastic equations and limit results for some two-type branching models ⋮ Central limit theorem for bifurcating Markov chains under pointwise ergodic conditions ⋮ Functional limit theorems for multitype branching processes and generalized Pólya urns. ⋮ Asymptotic behavior of projections of supercritical multi-type continuous-state and continuous-time branching processes with immigration ⋮ RANDOMIZED URN MODELS AND SEQUENTIAL DESIGN

Cites Work

• Bernard Friedman's Urn
• A Note on Limit Theorems for Markov Branching Processes
• Some Results on Multitype Continuous Time Markov Branching Processes
• Limit theorems for multitype continuous time Markov branching processes
• Embedding of Urn Schemes into Continuous Time Markov Branching Processes and Related Limit Theorems
• Additional Limit Theorems for Indecomposable Multidimensional Galton-Watson Processes
• A simple urn model
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