Limit Theorems for Exceedances of Sequence of Branching Processes
Bulletin of the Malaysian Mathematical Society, Tome 21 (1998) no. 1 Cet article a éte moissonné depuis la source Bulletin of the Malaysian Mathematical Society website

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A problem of the first exceedance of a given level by the family of independent branching processes with and without immigration is considered. Using limit theorems for large deviations for processes with and without immigration limit theorems for the index of the first process exceeding some fixed or increasing levels in critical, subcritical and supercritical cases are proved. Asymptotic formulas for the expectation of the index are also obtained.
@article{BMMS_1998_21_1_a6,
     author = {Ibrahim Rahimov and Husna Hasan},
     title = {Limit
                          {Theorems} for {Exceedances} of {Sequence} of {Branching} {Processes}},
     journal = {Bulletin of the Malaysian Mathematical Society},
     year = {1998},
     volume = {21},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/BMMS_1998_21_1_a6/}
}
TY  - JOUR
AU  - Ibrahim Rahimov
AU  - Husna Hasan
TI  - Limit
                          Theorems for Exceedances of Sequence of Branching Processes
JO  - Bulletin of the Malaysian Mathematical Society
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VL  - 21
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/BMMS_1998_21_1_a6/
ID  - BMMS_1998_21_1_a6
ER  - 
%0 Journal Article
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%A Husna Hasan
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                          Theorems for Exceedances of Sequence of Branching Processes
%J Bulletin of the Malaysian Mathematical Society
%D 1998
%V 21
%N 1
%U http://geodesic.mathdoc.fr/item/BMMS_1998_21_1_a6/
%F BMMS_1998_21_1_a6
Ibrahim Rahimov; Husna Hasan. Limit
                          Theorems for Exceedances of Sequence of Branching Processes. Bulletin of the Malaysian Mathematical Society, Tome 21 (1998) no. 1. http://geodesic.mathdoc.fr/item/BMMS_1998_21_1_a6/