On density functions related to discrete time maximum of some one-dimensional diffusion processes
DOI10.1016/j.amc.2022.127672OpenAlexW4308945131MaRDI QIDQ2101959
Publication date: 7 December 2022
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2022.127672
asymptotic behaviorMalliavin calculusdiffusion processprobability density functionLaplace's methoddiscrete time maximum
Statistics of extreme values; tail inference (62G32) Diffusion processes (60J60) Stochastic calculus of variations and the Malliavin calculus (60H07) Numerical solutions to stochastic differential and integral equations (65C30)
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Cites Work
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- Absolute continuity for some one-dimensional processes
- A local criterion for smoothness of densities and application to the supremum of the Brownian sheet
- Computation of Greeks for barrier and look-back options using Malliavin calculus
- Smoothness of the law of the supremum of the fractional Brownian motion
- Smoothness of the distribution of the supremum of a multi-dimensional diffusion process
- Applications of Malliavin calculus to Monte Carlo methods in finance
- Absolute continuity of the laws of a multi-dimensional stochastic differential equation with coefficients dependent on the maximum
- A theorem on the asymptotic behavior of a multiple integral
- Integration by parts formulas concerning maxima of some SDEs with applications to study on density functions
- Bounds for expected maxima of Gaussian processes and their discrete approximations
- The Malliavin Calculus and Related Topics
- Monte Carlo Evaluation of Greeks for Multidimensional Barrier and Lookback Options
- THE ASYMPTOTIC BEHAVIOUS OF A KIND OF MULTIPLE INTEGRALS INVOLVING A PARAMETER
- A Generalization of Laplace's Method
- On the Asymptotic Evaluation of a Class of Multiple Integrals Involving a Parameter
- Tail behavior of sums and differences of log-normal random variables
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