... yields a spatially discretized analogue of the MHD equations as a finite-dimensional Lie–Poisson system on the dual of the magnetic extension Lie algebra . We also give accompanying structure preserving time discretizations for Lie–Poisson systems on the dual of semidirect product Lie algebras...

..., and that the work properly cited. For commercial re-use, please contact [email protected] Abstract A two-grid finite element method is proposed to solve the Schrödinger–Poisson system on a Lipschitz polyhedral domain. To reduce the computational complexity, we solve the Poisson equation of electric...

... incorporates a point process to account for the impact of health states on observation timings and includes a ‘death’ state to model unobserved terminating events through a Poisson process, where transition rates depend on the latent health state. This approach captures both the severity of the disease...

... to the two groups that identify the block (efficiency). collapsed MCMC crime Gnedin process stochastic block model zero-inflated Poisson European Union 10.13039/501100000780 ERC 10.13039/100010663 101116718 European Research Council Executive Agency Insight Centre for Data...

... Brownian motions or -stable processes. Our approach utilizes compound Poisson particle approximations, allowing for simultaneous discretization of both the time and space variables in McKean–Vlasov SDEs. Notably, the approximation processes can be represented as a Markov chain with values on a lattice...

... the dataset through a fitted zero-inflated Poisson distribution. The data’s dynamics are attributed to a discrete set of hidden environmental risk states, evolving through time following a (nonhomogeneous) hidden semi-Markov chain. Furthermore, we extend the conventional hidden semi-Markov approach...

...Saeed Akhtar; Ahmad Al-Shammari; Mohammad Al-Huraiti; Fouzan Al-Anjery Address correspondence to Saeed Akhtar, E-mail: [email protected] 05 08 2024 29 11 2024 Assuming incident oesophageal cancer cases in each age group and period follow the Poisson distribution, a loglinear Poisson...

..., construct a Poisson model to test the relationship between talent policy and GTI, and further reveal the mechanism of executive environmental attention on the relationship between them. The research results are: (1) Talent policy significantly promotes GTI. After a series of tests, this positive effect...

...-reuse-rights ) Abstract The COVID-19 pandemic provided new modelling challenges to investigate epidemic processes. This paper extends Poisson auto-regression to incorporate spatio-temporal dependence and characterize the local dynamics by borrowing information from adjacent areas. Adopted in a fully...

... pattern from one day to the next. To this end, we assume the set of event times within a given day as a single observation. We model this observation as the realization of an inhomogeneous Poisson process where the rate function can vary with the time of day. Then, we propose to detect changes...

... to fit the modified Poisson regression with only summary-level information being shared between data partners and the analysis center. Specifically, to solve the unbiased estimating equation for , where , , and are indexes for individuals across sites, they leveraged the Newton–Raphson...

... analysis, assuming (1) independent censoring, (2) group-specific censoring, and (3) covariate-dependent censoring. The proposed AH regression methods are closely related to robust Poisson regression. While the new approach needs to require a truncation time τ explicitly, it can be more robust than Poisson...

... eQTL identification is limited by stringent control for false discoveries. Here, we described a method based on the non-homogeneous Poisson process to identify 125 489 regions with highly frequent, multiple eQTL associations, or ‘eQTL-hotspots’, from the public database of 59 human tissues or cell...

...: [email protected] 2024 This article is published and distributed under the terms of the Oxford University Press, Standard Journals Publication Model ( https://dbpia.nl.go.kr/pages/standard-publication-reuse-rights ) Abstract In this article, Poisson time series models are considered to describe...

... of the time-stratified case-crossover design to study aggregated health outcomes and environmental exposures, such as particulate matter air pollution, focusing on adjusting covariates and investigating effect modification using conditional Poisson regression. Time-varying confounders can be adjusted directly...

... acoustic SCR, as a marked Poisson process, comprising a single counting process for the detections of all animals and a mark distribution for what is observed (eg, animal identity, detector location). The counting process applies equally when it is animals appearing in front of camera traps and when...

... Poisson distribution serial limiting dilution assay National Institutes of Health 10.13039/100000002 P30AI50410 R37AI029168 Modern antiretroviral therapy (ART) is a highly effective treatment for people living with HIV, often helping them achieve viral suppression (ie, have a level of virus...

... of the channel currents. In this work, we propose a bubble model coupled with a Poisson–Nernst–Planck (PNP) system to capture the key characteristics, particularly the delay in the opening of channels. The coupled PNP system is solved numerically by a finite-difference method and the solution is compared...

... in specific categories of unit-level factors. To increase the precision of the estimates, the four surveys of 2008 were combined. This avoids the problem of extending the area-level measurement error Poisson model of Morales et al. (2022) to the case of random regression coefficients. Specifically, we...

... is, however, computationally expensive and inconvenient. In this article, we present formulation, algorithm and convergence analysis for a shape optimization problem constrained by the Poisson equation with a given source function , i.e., (1.1) with the shape density function or , which correspond...