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The proposed method does not rely on parameterized distributions, and can sample from multi-modal and non-convex distributions.
The tool can generate patterns according to several parameterized distributions and can also import pattern descriptions from simple text files.
Rate of change analysis (optional) In the case of parameterized distributions, it is also possible to estimate the rate of change of the state distribution parameters over time (e.g. through the use of alpha beta or Kalman filtering).
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Overfitting of the realized climate space is a problem often cited with highly parameterized species distribution models [25], [28], [36], [37] such as MaxEnt models created with default parameter settings.
I parameterized the distribution of measurement error from a stationary GPS collar and ran simulations that suggested the spurious effects of measurement error are unlikely to occur for measured step lengths >20 meters.
However, it may be necessary to parameterize the distributions in different ways if the new estimates are used in stochastic analyses of vadose zone flow and transport.
We parameterize these distributions to accurately model electron and photon response and resolution in a custom simulation for the measurement of the W boson mass.
The sampled values parameterize probability distributions, which are sampled for the simulation model.
To define a statistical test, we have to parameterize the distributions of variant allele counts.
The vector p = [ p 1, … p K ] parameterizes probability distributions on x, where (1) P (x = k ) = p k ⇐ P (x | p ) = ∏ k = 1 K p k δ (x = k ), and δ (x = k ) is an indicator function.
For Bayesian integration of the prior variance and the data variance, we use the fomula by Baldi and Long (2001) that models log-expression values by normal distributions, parameterized by corresponding means and variances with hierarchical prior distributions.
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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