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Markov jump processes are continuous-time stochastic processes with a wide range of applications in both natural and social sciences. Despite their widespread use, inference in these models is highly non-trivial and typically proceeds via either Monte Carlo or expectation-maximization methods.
Patrick Seifner, Ramsés J. Sánchez
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Weak Poincaré inequalities and hitting times for jump processes
In this paper, we get a criteria of weak Poincaré inequality by some integrability of hitting times for jump processes. In fact, integrability of hitting times on a subset F of state space E implies that the taboo process restricted on E ∖ F $E\setminus ...
Huihui Cheng, Hongde Xiao
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Existence, uniqueness, and stability of uncertain delay differential equations with V-jump
No previous study has involved uncertain delay differential equations with jump. In this paper, we consider the uncertain delay differential equations with V-jump, which is driven by both an uncertain V-jump process and an uncertain canonical process ...
Zhifu Jia, Xinsheng Liu, Cunlin Li
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We examine empirically, the suitability of three stock price models viz: geometric Brownian motion, symmetric and asymmetric jump-diffusion models, on the empirical log-returns of the Nigerian All-Share Index.
Mabel E. Adeosun, Olabisi O. Ugbebor
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Monte-Carlo simulation results in estimating a pure-jump Cox-Ingersoll-Ross process [PDF]
We consider a pure-jump stable Cox-Ingersoll-Ross (α-stable CIR) process driven by a non-symmetric stable Lévy process with jump activity α ∈ (1,2), for which estimators of the drift, scaling and jump activity parameters from high-frequency observations ...
Bayraktar Elise
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Reciprocal Class of Jump Processes [PDF]
Processes having the same bridges as a given reference Markov process constitute its {\it reciprocal class}. In this paper we study the reciprocal class of compound Poisson processes whose jumps belong to a finite set $\mathcal{A} \subset \mathbb{R}^d$.
Conforti, Giovanni +2 more
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Hierarchical Markov Model in Life Insurance and Social Benefit Schemes
We explored the effect of the jump-diffusion process on a social benefit scheme consisting of life insurance, unemployment/disability benefits, and retirement benefits. To do so, we used a four-state Markov chain with multiple decrements.
Jiwook Jang, Siti Norafidah Mohd Ramli
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We introduce a novel option pricing model that features stochastic interest rates along with an underlying price process driven by stochastic string shocks combined with pure jump Lévy processes.
Alberto Bueno-Guerrero, Steven P. Clark
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A jump process is a type of stochastic process that has discrete movements, called jumps, with random arrival times, rather than continuous movement, typically modelled as a simple or compound Poisson process.
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A hybrid tau-leap for simulating chemical kinetics with applications to parameter estimation
We consider the problem of efficiently simulating stochastic models of chemical kinetics. The Gillespie stochastic simulation algorithm (SSA) is often used to simulate these models; however, in many scenarios of interest, the computational cost quickly ...
Thomas Trigo Trindade +1 more
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