conditional invariance
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Author(s):  
Maxim Samarin ◽  
Vitali Nesterov ◽  
Mario Wieser ◽  
Aleksander Wieczorek ◽  
Sonali Parbhoo ◽  
...  

2014 ◽  
Vol 24 (6) ◽  
Author(s):  
Elena E. Dyakonova

AbstractThe paper is concerned with critical branching processes in a Markov random environment. A conditional functional limit theorem for the number of particles in a process and a conditional invariance principle are proved. The asymptotic tail behaviour for the distributions of the maximum and the total number of particles in a process is found.


1997 ◽  
Vol 108 (2) ◽  
pp. 281-298 ◽  
Author(s):  
Raoul LePage ◽  
Krzysztof Podgórski ◽  
Michał Ryznar

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