Search Results - JUMP PROCESSES

Refine Results
  1. 1

    First-Hitting Problems for Jump-Diffusion Processes with State-Dependent Uniform Jumps by Mario Lefebvre, Ibrahim Elmojtaba

    Published in Mathematics (2025-05-01)
    “…Let <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>{</mo><mi>X</mi><mo>(</mo><mi>t</mi><mo>)</mo><mo>,</mo><mi>t</mi><mo>≥</mo><mn>0</mn><mo>}</mo></mrow></semantics></math></inline-formula> be a one-dimensional jump-diffusion process whose continuous part is either a Wiener, Ornstein–Uhlenbeck, or generalized Bessel process. …”
    Get full text
    Article
  2. 2
  3. 3

    Exit Problems for Jump Processes Having Double-Sided Jumps with Rational Laplace Transforms by Yuzhen Wen, Chuancun Yin

    Published in Abstract and Applied Analysis (2014-01-01)
    “…We consider the two-sided first-exit problem for a jump process having jumps with rational Laplace transform. …”
    Get full text
    Article
  4. 4

    Stochastic Calculus for Pathwise Observables of Markov-Jump Processes: Unification of Diffusion and Jump Dynamics by Lars Torbjørn Stutzer, Cai Dieball, Aljaž Godec

    Published in Physical Review X (2026-05-01)
    “…So far, theories focusing on pathwise observables have been developing in two major directions, diffusion processes and Markov-jump dynamics, in a virtually disjoint manner. …”
    Get full text
    Article
  5. 5
  6. 6

    Modelling river flows as jump-diffusion processes by Mario Lefebvre

    “…The streamflow of a river is modelled as a jump-diffusion process. The jump size is distributed as an exponential random variable. …”
    Get full text
    Article
  7. 7
  8. 8

    Multifractal Analysis of Infinite Products of Stationary Jump Processes by Petteri Mannersalo, Ilkka Norros, Rudolf H. Riedi

    Published in Journal of Probability and Statistics (2010-01-01)
    “…This paper considers a subclass of MPSP which is determined by jump processes with i.i.d. exponentially distributed interjump times. …”
    Get full text
    Article
  9. 9

    Uncertain Population Model with Jumps by Caiwen Gao, Zhiqiang Zhang, Baoliang Liu

    Published in Mathematics (2022-06-01)
    “…The drastic changes lead to jumps in the population and make the sample path no longer continuous. …”
    Get full text
    Article
  10. 10
  11. 11

    Option Pricing under the Jump Diffusion and Multifactor Stochastic Processes by Shican Liu, Yanli Zhou, Yonghong Wu, Xiangyu Ge

    Published in Journal of Function Spaces (2019-01-01)
    “…The numerical results show an efficient explanation for volatility smirks when we incorporate jumps into both the stock process and the volatility process.…”
    Get full text
    Article
  12. 12

    Stochastic Equations and Equations for Probabilistic Characteristics of Processes with Damped Jumps by I. V. Melnikova, V. A. Bovkun

    “…They allow to simulate not only abrupt changes in the values of processes with jumps, but also the subsequent return of values to their original or near the original position. …”
    Get full text
    Article
  13. 13
  14. 14
  15. 15
  16. 16

    Poincaré-Type Inequalities for Compact Degenerate Pure Jump Markov Processes by Pierre Hodara, Ioannis Papageorgiou

    Published in Mathematics (2019-06-01)
    “…We aim to prove Poincar&#233; inequalities for a class of pure jump Markov processes inspired by the model introduced by Galves and L&#246;cherbach to describe the behavior of interacting brain neurons. …”
    Get full text
    Article
  17. 17

    First-Passage Times and Optimal Control of Integrated Jump-Diffusion Processes by Mario Lefebvre

    Published in Fractal and Fractional (2023-02-01)
    “…First-passage-time problems for the degenerate two-dimensional process <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>X</mi><mo>(</mo><mi>t</mi><mo>)</mo><mo>,</mo><mi>Y</mi><mo>(</mo><mi>t</mi><mo>)</mo><mo>)</mo></mrow></semantics></math></inline-formula> are considered in the case when the process leaves the continuation region at the latest at the moment of the first jump, and the problem of optimally controlling the process is treated as well. …”
    Get full text
    Article
  18. 18

    Convergence of Limiting Cases of Continuous-Time, Discrete-Space Jump Processes to Diffusion Processes for Bayesian Inference by Aaron Lanterman

    Published in Mathematics (2025-03-01)
    “…We consider a class of random sampling algorithms based on continuous-time jump processes. The semigroup theory of random processes lets us show that limiting cases of certain jump processes acting on discretized spaces converge to diffusion processes as the discretization is refined. …”
    Get full text
    Article
  19. 19
  20. 20

    Lifetime Estimation for Multi-Phase Deteriorating Process with Random Abrupt Jumps by Jianxun Zhang, Xiaosheng Si, Dangbo Du, Chen Hu, Changhua Hu

    Published in Sensors (2019-03-01)
    “…Firstly, a multi-phase degradation model with jumps based on the Wiener process is formulated to describe the multi-phase degradation pattern. …”
    Get full text
    Article

Search Tools: