Closed-form solutions for the probability distribution of time-variant maximal value processes for some classes of Markov processes
DOI10.1016/j.cnsns.2021.105803zbMath1481.60142OpenAlexW3135032925MaRDI QIDQ2025535
Jianbing Chen, Meng-Ze Lyu, Jin-Min Wang
Publication date: 14 May 2021
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2021.105803
closed-form solutionMarkov processextreme value distributionprobability evolution integral equationtime-variant maximal value process
Extreme value theory; extremal stochastic processes (60G70) Continuous-time Markov processes on general state spaces (60J25) Jump processes on general state spaces (60J76)
Cites Work
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- First passage time statistics of Brownian motion with purely time dependent drift and diffusion
- A new approach for time-variant probability density function of the maximal value of stochastic dynamical systems
- A novel method based on augmented Markov vector process for the time-variant extreme value distribution of stochastic dynamical systems enforced by Poisson white noise
- Les fonctions aléatoires du type de Markoff associees à certaines équations linéaires aux dérivées partielles du type parabolique
- A Guide to First-Passage Processes
- An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations
- First-passage times of two-dimensional Brownian motion
- A new integral equation for the evaluation of first-passage-time probability densities
- Dynamical Mechanical Systems Under Random Impulses
- Extreme value statistics of ergodic Markov processes from first passage times in the large deviation limit
- Catalan Numbers
- On the First Passage Time Probability Problem
- On the Theory of the Brownian Motion II
- Handbook of stochastic methods for physics, chemistry and the natural sciences.
- Stochastic Dynamics of Structures
- Stochastic differential equations. An introduction with applications.
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