Some limit theorems for positive recurrent branching Markov chains: II

Advances in Applied Probability

Volumn 30, Issue 3, 1998, Pages 711-722

  Athreya, Krishna B ^a   Kang, Hye Jeong ^b  

^a IOWA STATE UNIVERSITY   (United States)

^b Seoul National University   (South Korea)

Author keywords

Convergence rate; Galton Watson processes; Law of large numbers; Positive recurrent Harris chains

Indexed keywords

EID: 0007368902     PISSN: 00018678     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0001867800008569     Document Type: Article

References (8)

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3. ATHREYA, K. B. AND KANG, H.-J. (1996). Some limit theorems for positive recurrent branching Markov chains: I. Adv. Appl. Prob. 30, 693-710.
4. ATHREYA, K. B. AND NEY, P. (1972). Branching Processes. Springer, New York.
5. ATHREYA, K. B. AND NEY, P. (1978). A new approach to the limit theory of recurrent Markov chains. Trans. Amer. Math. Soc. 245, 493-501.
6. HARRIS, T. E. (1963). The Theory of Branching Processes. Springer, Berlin.
7. RESNICK, S. I. (1987). Extreme Values, Regular Variation, and Point Processes. Springer, New York.
8. ROYDEN, H. L. (1987). Real Analysis, 3rd edn. Macmillan, New York.