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Compounding Bellman-Harris processes allowing immigration
Date Issued
01-01-1977
Author(s)
Parthasarathy, P. R.
Krishnamoorthy, A.
Abstract
A Bellman-Harris process is considered in which each batch Ni of immigrants arriving at time Ti founds a colony attracting a secondary stream of immigrants. The asymptotic behavior of the mean number of particles living at time t is obtained in various cases. Some limit theorems are proved for the total number of particles living at time t suitably normalized. © 1977.
Volume
37