Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Pakes, A.G. (1971) On the critical Galton-Watson process with immigration. J. Austral. Math. Soc. 12, p. 476–482.
Pakes, A.G. (1971) Further results on the Critical Galton-Watson process with immigration, J. Austral. Math. Soc. p. 277–290.
Darling, D. A., Kac, M. (1957) On occupation times for Markov processes Trans. Amer. Math. Soc. 84, p. 448–458.
Ogura, Y., Shiotani, K. On invariant measures of criticalmultitype Galton-Watson processes, To appear.
Joffe, A., Spitzer, F. (1967) On multitype branching processes with π≦1, J. Math. Anal. Appl. 19, p. 409–430.
Feller, W. (1966) An introduction to Probability Theory and its application Vol. II, New York Wiley.
Sevastyanov, B.A. (1971) Branching Processes, Nauka, Moscow.
Yang, T.S. (1972). On branching processes allowing immigration. J. Appl. Prob. 9, p. 24–31.
Kaplan, N. (1973) The multitype Galton-Watson process with Immigration Anal. Prob. 1, p. 947–953.
Kawazu, K. (1974) On α-invariant measures of G.W.I., Yamaguchi Tech. Rep. Math. No. 1.
Foster, J., Williamson, J.A. (1971) Limit theorems for the Galton-Watson process with time dependent immigration, Z. W. 20, p. 227–235.
Editor information
Rights and permissions
Copyright information
© 1976 Springer-Verlag
About this paper
Cite this paper
Kawazu, K. (1976). On multitype branching processes with immigration. In: Maruyama, G., Prokhorov, J.V. (eds) Proceedings of the Third Japan — USSR Symposium on Probability Theory. Lecture Notes in Mathematics, vol 550. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0077495
Download citation
DOI: https://doi.org/10.1007/BFb0077495
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-07995-8
Online ISBN: 978-3-540-37966-9
eBook Packages: Springer Book Archive