Quasi-stationary distributions for absorbing continuous-time denumerable Markov chains
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Publication:1232863
DOI10.1007/BF02479830zbMath0344.60039MaRDI QIDQ1232863
Publication date: 1974
Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)
Related Items (27)
The determination of quasistationary distributions directly from the transition rates of an absorbing Markov chain ⋮ Uniqueness and Decay Properties of Markov Branching Processes with Disasters ⋮ On the equivalence of \(\mu\)-invariant measures for the minimal process and its q-matrix ⋮ The decay parameter and invariant measures for Markovian bulk-arrival queues with control at idle time ⋮ Some limit theorems of killed Brownian motion ⋮ Decay properties and quasi-stationary distributions for stopped Markovian bulk-arrival and bulk-service queues ⋮ A deviation inequality and quasi-ergodicity for absorbing Markov processes ⋮ Decay parameter and related properties of \(n\)-type branching processes ⋮ Decay properties of \(n\)-type Markov branching processes with disasters ⋮ The generalized Kolmogorov criterion ⋮ On geometric and algebraic transience for discrete-time Markov chains ⋮ Domain of attraction of the quasi-stationary distribution for the linear birth and death process ⋮ An iterative aggregation/disaggregation procedure for modelling the long-term behaviour of continuous-time evanescent random processes ⋮ Decay property of stopped Markovian bulk-arriving queues ⋮ Quasi-stationarity and quasi-ergodicity of general Markov processes ⋮ Exponential mixing property for absorbing Markov processes ⋮ Limiting process of absorbing Markov chains ⋮ The Markov branching process with density-independent catastrophes. III. The supercritical case ⋮ On the problem of evaluating quasistationary distributions for open reaction schemes ⋮ Decay parameter for general stopped Markovian bulk-arrival and bulk-service queues ⋮ On the quasi-ergodic distribution of absorbing Markov processes ⋮ Decay parameter and related properties of 2-type branching processes ⋮ Some conditional limiting theorems for symmetric Markov processes with tightness property ⋮ Further results on the relationship between \(\mu\)-invariant measures and quasi-stationary distributions for absorbing continuous-time Markov chains. ⋮ The supercritical birth, death and catastrophe process: Limit theorems on the set of extinction ⋮ Recurrence and decay properties of a star-typed queueing model with refusal ⋮ Quasi-stationary distributions for discrete-state models
Cites Work
- On Quasi-Stationary distributions in absorbing discrete-time finite Markov chains
- On quasi-stationary distributions in discrete-time Markov chains with a denumerable infinity of states
- The Exponential Decay of Markov Transition Probabilities
- On quasi-stationary distributions in absorbing continuous-time finite Markov chains
- SOME LIMIT THEOREMS FOR EVANESCENT PROCESSES
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