Sharp asymptotics for the quasi-stationary distribution of birth-and-death processes

Author:

Chazottes J.-R.,Collet P.,Méléard S.

Publisher

Springer Science and Business Media LLC

Subject

Statistics, Probability and Uncertainty,Statistics and Probability,Analysis

Reference24 articles.

1. Allen, L.J.S.: An Introduction to Stochastic Processes with Applications to Biology. CRC Press, New York (2011)

2. Barbour, A.D., Pollett, P.K.: Total variation approximation for quasi-stationary distributions. J. Appl. Probab. 47, 934–946 (2010)

3. Bansaye, V., Méléard, S., Richard, M.: How do birth and death processes come down from infinity?, preprint (2013). arXiv:1310.7402 [math.PR]

4. Cattiaux, P., Collet, P., Lambert, A., Martínez, S., Méléard, S., San Martín, J.: Quasi-stationary distributions and diffusion models in population dynamics. Ann. Probab. 37(5), 1926–1969 (2009)

5. Champagnat, N., Villemonais, D.: Exponential convergence to quasi-stationary distribution and Q-process, preprint (2014). arXiv:1404.1349v1 [math.PR]

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