Asymptotic behavior of absorbing Markov chains conditional on nonabsorption for applications in conservation biology
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Publication:1872476
DOI10.1214/aoap/998926993zbMath1019.60082OpenAlexW2011490656MaRDI QIDQ1872476
Publication date: 6 May 2003
Published in: The Annals of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aoap/998926993
Applications of branching processes (60J85) Population dynamics (general) (92D25) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Applications of operator theory in probability theory and statistics (47N30)
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Cites Work
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- Ergodic properties of nonnegative matrices. II
- \(R\)-positivity, quasi-stationary distributions and ratio limit theorems for a class of probabilistic automata
- Ergodic properties of nonnegative matrices. I
- On multitype branching processes with \(\rho\leq1\)
- Quasi-positive operators
- On asymptotic behaviour of probabilities in groups of states of homogeneous Markov chain
- On population-size-dependent branching processes
- A limit theorem for population-size-dependent branching processes
- On some classes of population-size-dependent Galton–Watson processes
- Some results on population-size-dependent Galton-Watson processes
- On quasi-stationary distributions for multi-type Galton-Watson processes
- Controlled Galton-Watson process and its asymptotic behavior
- A ratio limit theorem for (sub) Markov chains on {1,2, …} with bounded jumps
- On quasi-stationary distributions in discrete-time Markov chains with a denumerable infinity of states
- On Branching Processes with Random Environments: I: Extinction Probabilities
- On the Stochastic Matrices Associated with Certain Queuing Processes
- On multitype branching processes in a random environment