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1 results

  • On multitype processes based on progeny length of particles of a supercritical Galton-Watson process

  • V. G. Gadag, M. B. Rajarshi
  • Journal:
    Journal of Applied Probability / Volume 24 / Issue 1 / March 1987
    Published online by Cambridge University Press:
    14 July 2016, pp. 14-24
    Print publication:
    March 1987

  • Based on infinite and finite line of descent of particles of a one-dimensional supercritical Galton-Watson branching process (GWBP), we construct an associated bivariate process. We show that this bivariate process is a two-dimensional, supercritical GWBP. We also show that this process retains its branching property on appropriate probability spaces, when conditioned on set of non-extinction and set of extinction. Some asymptotic and weak convergence results for this process have been established. A generalisation of these results to a multitype p-dimensional GWBP has also been carried out.