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On the non-existence of consistent estimates in Galton-Watson processes
Richard Lockhart
Journal:

Journal of Applied Probability / Volume 19 / Issue 4 / December 1982

Published online by Cambridge University Press:

14 July 2016, pp. 842-846

Print publication:

December 1982
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Estimation of the offspring distribution from a single realization of a supercritical Galton-Watson process is studied. It is shown that, based on population totals, a parameter of the offspring distribution cannot be estimated unless it is determined by the mean, variance, lattice size and lattice offset of the offspring distribution.

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On the non-existence of consistent estimates in Galton-Watson processes