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Monte Carlo implementation of a guiding-center Fokker-Planck kinetic equation

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abstract

A Monte Carlo method for the collisional guiding-center Fokker-Planck kinetic equation is derived to include the effects of background magnetic-field nonuniformity. It is shown that, in the limit of a homogeneous magnetic field, the guiding-center Monte Carlo collision operators reduce to the standard Coulomb operators. The coefficients required for the implementation of the method are also given.

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stat.ME 1

years

2026 1

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UNVERDICTED 1

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Goodness of Fit Tests Based on Joint Densities of Multiple Sample Statistics

stat.ME · 2026-07-02 · unverdicted · novelty 6.0

Goodness-of-fit tests are developed using simulated hyperrectangular and highest-density-region confidence sets for joint distributions of multiple sample statistics, with simulations indicating competitive or superior power to classical and graphical methods.

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  • Goodness of Fit Tests Based on Joint Densities of Multiple Sample Statistics stat.ME · 2026-07-02 · unverdicted · none · ref 2 · internal anchor

    Goodness-of-fit tests are developed using simulated hyperrectangular and highest-density-region confidence sets for joint distributions of multiple sample statistics, with simulations indicating competitive or superior power to classical and graphical methods.