A Structured Markov Chain Approach to Branching Processes

DOI10.1080/15326349.2015.1022264zbMath1327.60138OpenAlexW2557326367MaRDI QIDQ3194559

Sophie Hautphenne

Publication date: 20 October 2015

Published in: Stochastic Models (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/15326349.2015.1022264

zbMATH Keywords

branching processesrandom environmentcomputational algorithmsmatrix analytic methodsquasi-birth-and-death processstructured Markov chainsMarkovian tree

Mathematics Subject Classification ID

Computational methods in Markov chains (60J22) Numerical analysis or methods applied to Markov chains (65C40) Processes in random environments (60K37) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (2)

A Polynomial Time Algorithm for Computing Extinction Probabilities of Multitype Branching Processes ⋮ The variance constant for continuous-time level dependent quasi-birth-and-death processes

Cites Work

• Lyapunov exponents for branching processes in a random environment: the effect of information
• Algorithmic approach to the extinction probability of branching processes
• Population-size-dependent branching processes
• Newton's iteration for the extinction probability of a Markovian binary tree
• Markovian trees: Properties and algorithms
• On the link between Markovian trees and tree-structured Markov chains
• Markovian Trees Subject to Catastrophes: Transient Features and Extinction Probability
• Extinction Probabilities of Supercritical Decomposable Branching Processes
• Finite birth-and-death models in randomly changing environments
• On population-size-dependent branching processes
• Finite Markov chain models skip-free in one direction
• Remarks on the maxima of a martingale sequence with application to the simple critical branching process
• Introduction to Matrix Analytic Methods in Stochastic Modeling
• Calculating the equilibrium distribution in level dependent quasi-birth-and-death processes
• Some properties of the rate perators in level dependent uasi-birth-and-death processes with countable number of phases
• Branching Processes
• 205. Note: The Maximum Population Size in the First N Generations of a Branching Process
• Extinction Probabilities of Branching Processes with Countably Infinitely Many Types
• Numerical Methods for Structured Markov Chains
• Probability Inequalities for a Critical Galton--Watson Process
• Maximum Population Size in a Branching Process

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