Level Application

14,000,000 Leading Edge Experts on the ideXlab platform

Scan Science and Technology

Contact Leading Edge Experts & Companies

Scan Science and Technology

Contact Leading Edge Experts & Companies

The Experts below are selected from a list of 881508 Experts worldwide ranked by ideXlab platform

Melissa F Wasserman - One of the best experts on this subject based on the ideXlab platform.

Michael D Frakes - One of the best experts on this subject based on the ideXlab platform.

Gabriele Milani - One of the best experts on this subject based on the ideXlab platform.

Marc-antoine Dupret - One of the best experts on this subject based on the ideXlab platform.

  • on posterior probability and significance Level Application to the power spectrum of hd 49 933 observed by corot
    Astronomy and Astrophysics, 2009
    Co-Authors: Thierry Appourchaux, R Samadi, Marc-antoine Dupret
    Abstract:

    Context. The CoRoT mission provides asteroseismic data of very high quality allowing one to adopt new statistical approaches for mode detection in power spectra, especially with respect to testing the null hypothesis (H0, which assumes that what is observed is pure noise). Aims. We emphasize that the significance Level when rejecting the null hypothesis can lead to the incorrect conclusion that the H0 hypothesis is unlikely to occur at that significance Level. We demonstrate that the significance Level is unrelated to the posterior probability of H0, given the observed data set, and that this posterior probability is very much higher than implied by the significance Level. Methods. We use Bayes theorem to derive the posterior probability of that H0 is true assuming an alternative hypothesis H1 that a mode is present, taking some prior for the mode height, mode amplitude and linewidth. Results. We compute the posterior probability of H0 for the p modes detected on HD 49 933 by CoRoT. Conclusions. We conclude that the posterior probability of H0 provide a much more conservative quantification of the mode detection than the significance Level. This framework can be applied to any similar stellar power spectra obtained to complete asteroseismology.

Remi Maurice - One of the best experts on this subject based on the ideXlab platform.

  • quantum chemical topology at the spin orbit configuration interaction Level Application to astatine compounds
    Journal of Computational Chemistry, 2020
    Co-Authors: Cecilia Gomez Pech, Pi A B Haase, Dumitruclaudiu Sergentu, Anastasia Borschevsky, Julien Pilme, Nicolas Galland, Remi Maurice
    Abstract:

    We report a methodology that allows the investigation of the consequences of the spin-orbit coupling by means of the QTAIM and ELF topological analyses performed on top of relativistic and multiconfigurational wave functions. In practice, it relies on the "state-specific" natural orbitals (NOs; expressed in a Cartesian Gaussian-type orbital basis) and their occupation numbers (ONs) for the quantum state of interest, arising from a spin-orbit configuration interaction calculation. The ground states of astatine diatomic molecules (AtX with X = AtF) and trihalide anions (IAtI- , BrAtBr- , and IAtBr- ) are studied, at exact two-component relativistic coupled cluster geometries, revealing unusual topological properties as well as a significant role of the spin-orbit coupling on these. In essence, the presented methodology can also be applied to the ground and/or excited states of any compound, with controlled validity up to including elements with active 5d, 6p, and/or 5f shells, and potential limitations starting with active 6d, 7p, and/or 6f shells bearing strong spin-orbit couplings.