Geodesic
Limit Theorems for the Process of Exceedances in Large Populations
Bulletin of the Malaysian Mathematical Society, Tome 23 (2000) no. 1 
Ibrahim Rahimov; Husna Hasan. Limit
                          Theorems for the Process of Exceedances in Large Populations. Bulletin of the Malaysian Mathematical Society, Tome 23 (2000) no. 1. http://geodesic.mathdoc.fr/item/BMMS_2000_23_1_a0/
@article{BMMS_2000_23_1_a0,
     author = {Ibrahim Rahimov and Husna Hasan},
     title = {Limit
                          {Theorems} for the {Process} of {Exceedances} in {Large} {Populations}},
     journal = {Bulletin of the Malaysian Mathematical Society},
     year = {2000},
     volume = {23},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/BMMS_2000_23_1_a0/}
}
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                          Theorems for the Process of Exceedances in Large Populations
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                          Theorems for the Process of Exceedances in Large Populations
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%D 2000
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Voir la notice de l'article provenant de la source BMMS

We consider a discrete time branching process with n initial ancestors. Each of the ancestors generates a branching process with the same of spring distribution. Let be the number of ancestors having more than descendants at time t . We prove that can, in a weak sense, be approximated as by either a Poisson or a Binomial process depending on the criticality of the initial process.