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Continuity of limit random variables in the branching random walk

Published online by Cambridge University Press:  14 July 2016

J. D. Biggins  and
D. R. Grey
J. D. Biggins*
Affiliation:
University of Sheffield
D. R. Grey*
Affiliation:
University of Sheffield
*
∗ Postal address: Department of Probability and Statistics, University of Sheffield, Sheffield S3 7RH, U.K.
∗ Postal address: Department of Probability and Statistics, University of Sheffield, Sheffield S3 7RH, U.K.
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Abstract

There are some martingales associated with the branching random walk which are natural generalizations of the classical martingale occurring in the Galton–Watson process. Some continuity properties of the distributions of their limits are discussed.

Keywords

BRANCHING RANDOM WALKMARTINGALEFUNCTIONAL EQUATIONCONTINUITYABSOLUTE CONTINUITY

Information

Type
Research Papers
Information
Journal of Applied Probability , Volume 16 , Issue 4 , December 1979 , pp. 740 - 749
Copyright
Copyright © Applied Probability Trust 1979 

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References

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