Sample Path Large Deviations

Author(s):  
Amir Dembo ◽  
Ofer Zeitouni
2018 ◽  
Vol 43 (4) ◽  
pp. 1348-1377 ◽  
Author(s):  
William H. Sandholm ◽  
Mathias Staudigl

2020 ◽  
Vol 30 (6) ◽  
pp. 2695-2739
Author(s):  
Mihail Bazhba ◽  
Jose Blanchet ◽  
Chang-Han Rhee ◽  
Bert Zwart

2005 ◽  
Vol 10 (0) ◽  
pp. 1026-1043 ◽  
Author(s):  
Ayalvadi Ganesh ◽  
Claudio Macci ◽  
Giovanni Torrisi

2011 ◽  
Vol 48 (03) ◽  
pp. 688-698 ◽  
Author(s):  
Ken R. Duffy ◽  
Giovanni Luca Torrisi

It is shown that the sample paths of Poisson shot noise with heavy-tailed semiexponential distributions satisfy a large deviation principle with a rate function that is insensitive to the shot shape. This demonstrates that, on the scale of large deviations, paths to rare events do not depend on the shot shape.


2014 ◽  
Vol 4 (1) ◽  
pp. 206-249 ◽  
Author(s):  
Jose Blanchet ◽  
Xinyun Chen ◽  
Henry Lam

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