ON ASYMPTOTIC STRUCTURE OF CRITICAL MARKOV BRANCHING PROCESSES WITH POSSIBLY INFINITE VARIANCE
Abstract
Markov Branching processes, Markov chain, transition probabilities, limit theorems, slowly varying, generating functions
References
Asmussen S., Hering H. Branching processes. Birkhäuser, Boston, 1983.
Athreya K.B., Ney P.E. Branching processes. Springer, New York, 1972.
Bingham N.H., Goldie C.M. and Teugels J.L. Regular Variation. University Press, Cambridge, 1987.
Kolmogorov A.N., Dmitriev N.A. Branching stochastic process. Reports of Academy of Sciences of USSR, vol. 61, 1947, pp. 55–62. (in Russian)
Seneta E. Regularly Varying Functions. Springer, Berlin, 1972.
Sevastyanov B.A. The theory of Branching stochastic process. Uspekhi Mathematicheskikh Nauk, vol. 6(46), 1951, pp. 47–99. (in Russian)
Published
2023-05-03
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