Stability conditions for a Piecewise Deterministic Markov Process [PDF]
In the present paper we study the stability of a threshold continuos-time model that belongs to the class of Piecewise Deterministic Markov Processes. We derive a sufficient condition on the coefficients of the model to ensure the exponential ergodicity ...
Fonseca Giovanni
core
Minimizing risk probability for infinite discounted piecewise deterministic Markov decision processes [PDF]
summary:The purpose of this paper is to study the risk probability problem for infinite horizon piecewise deterministic Markov decision processes (PDMDPs) with varying discount factors and unbounded transition rates.
Wen, Xian, Huo, Haifeng, Cui, Jinhua
core +1 more source
Cores for Piecewise-Deterministic Markov Processes used in Markov Chain Monte Carlo
We show fundamental properties of the Markov semigroup of recently proposed MCMC algorithms based on Piecewise-deterministic Markov processes (PDMPs) such as the Bouncy Particle Sampler, the Zig-Zag process or the Randomized Hamiltonian Monte Carlo ...
Holderrieth, Peter
core +1 more source
Causal Inference for Geostatistical Data Using an INLA‐based Spatial Propensity Score
ABSTRACT In this paper, we propose a Bayesian approach for spatial causal inference based on combining spatial propensity scoring with Integrated Nested Laplace Approximation. The method models both local and spillover exposure effects via multiple likelihoods and treats counterfactuals as missing data, allowing inference also for non‐Gaussian outcomes.
Chiara Di Maria +3 more
wiley +1 more source
Eyring-Kramers type formulas for some piecewise deterministic Markov processes
In this work, we give sharp asymptotic equivalents in the small temperature regime of the smallest eigenvalues of the generator of some piecewise deterministic Markov processes (including the ZigZag process and the Bouncy Particle Sampler process) with ...
Le Peutrec, Dorian +2 more
core
Optimal Resource Allocation in Relay-Assisted ISAC Systems via Deep Reinforcement Learning
This article studies joint beamforming and power allocation in a full-duplex decode-and-forward (FD-DF) relay-assisted monostatic integrated sensing and communication (ISAC) system. The base station performs monostatic sensing in the presence of clutter,
Hamidreza Hojjati +2 more
doaj +1 more source
Hybrid Reaction–Diffusion Epidemic Models: Dynamics and Emergence of Oscillations
ABSTRACT In this paper, we construct a hybrid epidemic mathematical model based on a reaction–diffusion system of the SIR (susceptible‐infected‐recovered) type. This model integrates the impact of random factors on the transmission rate of infectious diseases, represented by a probabilistic process acting at discrete time steps.
Asmae Tajani +2 more
wiley +1 more source
This paper analyzes a finite-capacity GI/M/2/N queue with two heterogeneous servers operating under a multiple working-vacation policy, Bernoulli feedback, and customer impatience.
Abdelhak Guendouzi, Salim Bouzebda
doaj +1 more source
Optimal dividends for a NatCat insurer in the presence of a climate tipping point
Abstract We study optimal dividend strategies for an insurance company facing natural catastrophe claims, anticipating the arrival of a climate tipping point after which the claim intensity and/or the claim size distribution of the underlying risks deteriorates irreversibly.
Hansjörg Albrecher +2 more
wiley +1 more source
Mean first passage times for piecewise deterministic Markov processes and the effects of critical points [PDF]
In this paper, we use probabilistic methods to determine the mean first passage time (MFPT) for a two-state piecewise deterministic Markov process (PDMP), also known as a dichotomous noise process, to escape from a finite interval.
Sean D Lawley +3 more
core +1 more source

