Kac's formula, levy's local time and brownian excursion
- 1 September 1984
- journal article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 21 (3) , 479-499
- https://doi.org/10.2307/3213611
Abstract
Kac's formula for Brownian functionals and Levy's local time decomposition are shown to be useful tools in analysing Brownian excursion properties. These tools are applied to maximum, local time and area distributions. Some curious connections between some of these distributions are explained by simple probabilistic arguments.Keywords
This publication has 12 references indexed in Scilit:
- Density factorizations for brownian motion, meander and the three-dimensional bessel process, and applicationsJournal of Applied Probability, 1984
- On the Integral of the Absolute Value of the Pinned Wiener ProcessThe Annals of Probability, 1982
- On the explicit form of the density of Brownian excursion local timeProceedings of the American Mathematical Society, 1982
- Brownian Excursion, the M/M/1 Queue and Their Occupation TimesMathematics of Operations Research, 1981
- A Relation between Brownian Bridge and Brownian ExcursionThe Annals of Probability, 1979
- Excursions of Brownian motion and bessel processesProbability Theory and Related Fields, 1979
- Excursions in Brownian motionArkiv för Matematik, 1976
- The distribution of the maximum Brownian excursionJournal of Applied Probability, 1976
- Downcrossings and local timeProbability Theory and Related Fields, 1976
- Brownian local times and taboo processesTransactions of the American Mathematical Society, 1969