Abstract
A Galton-Watson process is a Markov chain {Zn; n=0,1,2,...} on the nonnegative integers. Its transition function is defined in terms of a given probability function {pk; k=0,1,2,...}, pk≥0, Σpk=1, by
δij being the Kronecker delta and {p *ik ; k=0,1,2,...} being the i-fold convolution of {pk; k=0, 1, 2,...}.
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© 1972 Springer-Verlag Berlin Heidelberg
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Athreya, K.B., Ney, P.E. (1972). The Galton-Watson Process. In: Branching Processes. Die Grundlehren der mathematischen Wissenschaften, vol 196. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-65371-1_1
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DOI: https://doi.org/10.1007/978-3-642-65371-1_1
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-65373-5
Online ISBN: 978-3-642-65371-1
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