Translated poisson approximation for Markov chains (Journal of Theoretical Probabilities (2006) 19 (609-630) DOI:10.1007/s10959-006-0047-9);Translated poisson approximation for Markov chains

Journal of Theoretical Probability

Volumn 19, Issue 3, 2006, Pages 609-630

  Barbour, A D ^a   Lindvall, Torgny ^b  

^a Angewandte Mathematik   (Switzerland)

^b CHALMERS UNIVERSITY OF TECHNOLOGY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33845693426     PISSN: 08949840     EISSN: 15729230     Source Type: Journal    
DOI: 10.1007/s10959-008-0190-6     Document Type: Erratum

References (12)

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4. Barbour, A. D., and Xia, A. (1999). Poisson perturbations. ESAIM P&S 3, 131-150.
5. Breiman, L. (1968). Probability, Addison-Wesley, Reading, MA.
6. Čekanavičius, V., and Mikalauskas, M. (1999). Signed Poisson approximations for Markov chains. Stoch. Process. Appl. 82, 205-227.
7. Čekanavičius, V., and Vaitkus, P. (2001). Centered Poisson approximation by the Stein's method. Lithuanian Math. J. 41, 319-329.
8. Lindvall, T. (2002). Lectures on the Coupling Method, Dover Publications, New York.
9. Norris, J. R. (1997). Markov Chains, Cambridge University Press, Cambridge.
10. Röllin, A. (2005). Approximation by the translated Poisson distribution. Bernoulli 12, 1115-1128.
11. Siraždinov, S. H., and Formanov, Š. K. (1979). Limit Theorems for Sums of Random Vectors Forming a Markov Chain, Fan, Tashkent (in Russian).
12. Vaitkus, P., and Čekanavičius, V. (1998). On a centered Poisson approximation. Lithuanian Math. J. 38, 391-404.