- Tytuł:
- Square-root boundaries for Bessel processes and the hitting times of radial Ornstein-Uhlenbeck processes
- Autorzy:
- Hamana, Yuji
- Powiązania:
- https://bibliotekanauki.pl/articles/29519257.pdf
- Data publikacji:
- 2023
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
Bessel process
confluent hypergeometric function
first hitting time
radial Ornstein-Uhlenbeck process
square-root boundary - Opis:
- This article deals with the first hitting times of a Bessel process to a square-root boundary. We obtain the explicit form of the distribution function of the hitting time by means of zeros of the confluent hypergeometric function with respect to the first parameter. In deducing the distribution function, the time that a radial Ornstein-Uhlenbeck process reaches a certain point is very useful and plays an important role. We also give its distribution function in the case that the starting point is closer to the origin than the arrival site.
- Źródło:
-
Opuscula Mathematica; 2023, 43, 2; 145-172
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł