Further criteria for positive Harris recurrence of Markov chains
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- by Onésimo Hernández-Lerma and Jean B. Lasserre PDF
- Proc. Amer. Math. Soc. 129 (2001), 1521-1524 Request permission
Abstract:
We provide several necessary and sufficient conditions for a Markov chain on a general state space to be positive Harris recurrent. The conditions only concern asymptotic properties of the expected occupation measures.References
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Additional Information
- Onésimo Hernández-Lerma
- Affiliation: Departamento de Matemáticas, CINVESTAV-IPN, Apdo. Postal 14-740, México D.F. 07000, Mexico
- Email: ohernand@math.cinvestav.mx
- Jean B. Lasserre
- Affiliation: LAAS-CNRS, 7 Avenue du Colonel Roche, 31077 Toulouse Cédex, France
- MR Author ID: 110545
- Email: lasserre@laas.fr
- Received by editor(s): March 1, 1999
- Received by editor(s) in revised form: August 15, 1999
- Published electronically: October 24, 2000
- Additional Notes: This research was partially supported by the CNRS (France)-CONACYT (México) Scientific Cooperation Program, and by the ECOS (France)-ANUIES (Mexico) Educational and Scientific Cooperation Program.
The first author’s research was also supported by CONACYT Grant 3115P-E9608. - Communicated by: Claudia Neuhauser
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 129 (2001), 1521-1524
- MSC (1991): Primary 60J10, 28A33; Secondary 28C15
- DOI: https://doi.org/10.1090/S0002-9939-00-05672-0
- MathSciNet review: 1712909