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The measurement noise n i is modeled as a Gaussian mixture distribution, where the LOS noise is distributed according to ({N}left (0,sigma _{1}^{2}right)) with a probability (1−ε) and the NLOS noise distributed by ({N}left (mu _{2},sigma _{2}^{2}right)) with a probability of ε.
We simulated p-values from a wide range of beta mixture distribution where the mixing π was set to be 0.1 and 0.4, indicating different proportions of tests with significant GxG interactions.
In the case of v transcription factors binding a regulatory region, ΔS is drawn from a mixture distribution, where v is the number of types of transcription factor binding sites, π i is the probability that the substitution occurred in the j-th type, and p ΔS) j is the distribution of ΔS for the j-th type of binding motif.
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Here we describe a single step approach based on the concept of finite mixture distributions where the component distributions of the mixture are supposed bivariate normal.
Therefore, the sum of the genetic and permanent environmental effects of a horse has the following a priori mixture distribution: (6) where n g is the number of groups with a priori expected values g i and probabilities of assignment to a group q i. Performances thus follow a mixture of normal variables of these different groups with the same variance but different means.
We pose the problem as estimating the parameters of a Gaussian mixture model (GMM) from samples of the underlying distribution, where the mixture weights are equal and set to 1/M.
For each array, background correction was performed by fitting a mixture model of a normal and exponential distribution where normal distribution captures the non-expressed probes and exponential distribution the expressed probes [ 20].
The HBM models the SNP effects using a mixture distribution of a point mass at zero and a normal distribution, where the point mass corresponds to those non-associative SNPs.
The mixture Poisson-logarithmic (Plog) model is proposed as a special case of the NB distribution, where the bacterial clusters are Poisson distributed while the individuals in each cluster follow a logarithmic distribution.
A beta-uniform mixture model (BUM) was fitted to the p-value distribution, where the beta distribution models the signal, while the noise is by definition uniformly distributed.
Typically, these random coefficients are drawn from a mixture of continuous parametric distributions denoted by f, where δ refers to parameters of that mixture distribution.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com