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We appreciate Dr. Guy Baele providing the code used for the marginal likelihood sampling.
In all likelihood, sampling for nonpersistent chemicals will require multiple samples taken over the course of the study at regular intervals (e.g., weekly, monthly, semiannually).
Subsequently, one possible outcome of the likelihood sampling process and particle weighting is N weight-particle pairs Γ ȷ, k ( i ), X ȷ, k ( i ), n = 1, …, N corresponding to delay-Doppler locations n ȷ, λ, u, k ( i ), ν ȷ, λ, u, k ( i ), λ = 1,…,Λ, u = 1,…,U, i = 1,…,N.
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Since it consistently gave the lowest value, the coalescent ESS (the number of effectively independent log likelihoods sampled from the coalescent posterior distribution) for each model is given in Table 1.
The reliability and robustness of the normal estimation subroutine was compared against well-known normal estimation methods including the Minimum Volume Ellipsoid (MVE) and Minimum Covariance Determinant (MCD) estimators, along with Maximum Likelihood Sample Consensus (MLESAC).
In their work, the MIT researchers interpret the likelihood that sampling a song will result in its being downloaded as a measure of quality.
We then explain in detail the statistical analysis, with an emphasis on the model development, the potential pitfalls for correctly identifying the abundance, lifetime, and likelihood of sampling protein functional states.
Investigators perform multi-site functional magnetic resonance imaging studies to increase statistical power, to enhance generalizability, and to improve the likelihood of sampling relevant subgroups.
Resampling statistics were employed to test the likelihood of sampling the tibial arch angles present in the fossil tibial sample (n = 12) from a modern human population.
In addition, starting with a distant reference increased the likelihood of sampling divergent copies from grasses.
Frequencies are determined by maximizing the likelihood of sampling the observed set of virus sequences.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.
Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com