scholarly journals Hitting times of Bessel processes, volume of the Wiener sausages and zeros of Macdonald functions

2016 ◽  
Vol 68 (4) ◽  
pp. 1615-1653 ◽  
Author(s):  
Yuji HAMANA ◽  
Hiroyuki MATSUMOTO
2015 ◽  
Vol 9 (1) ◽  
Author(s):  
Gerardo Hernández-del-Valle ◽  
Carlos G Pacheco

Bernoulli ◽  
2017 ◽  
Vol 23 (4B) ◽  
pp. 3744-3771 ◽  
Author(s):  
Madalina Deaconu ◽  
Samuel Herrmann

2021 ◽  
Vol 41 (4) ◽  
pp. 509-537
Author(s):  
Yuji Hamana ◽  
Ryo Kaikura ◽  
Kosuke Shinozaki

We study a precise asymptotic behavior of the tail probability of the first hitting time of the Bessel process. We deduce the order of the third term and decide the explicit form of its coefficient.


2012 ◽  
Vol 38 (3) ◽  
pp. 753-786 ◽  
Author(s):  
T. Byczkowski ◽  
J. Małecki ◽  
M. Ryznar

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