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Exact(5)
In other cases, it will lead to an approximation.
We prove that this approach cannot lead to an approximation ratio bound better than 3/2.
However, when the parameters of the distribution lead to an approximation of a symmetric bell-shaped distribution (e.g. see Gamma(10,10), Weibull(4,4), and Beta 5,5)), the Ueda's method increases the likelihood of not finding outliers and, only in cases like these, an increment in sample size helps the Ueda's method to detect less outliers (see also Supplementary Tables 6.2).
We are aware that such a definition may lead to an approximation in the estimate of the spatial distribution of allele frequencies, since each population is considered as a sampling point.
In this case, the erroneous equilibrium assumptions for the slow process are not introduced and do not lead to an approximation error (but do also not contribute to the model reduction).
Similar(54)
But limiting the order of the AR model to 'm', leads to an approximation.
This leads to an approximation of the frequency-averaged power flow injected by the TBL into the MPP partition.
The Taylor series expansion leads to an approximation of the MSE that depends on the sign of the difference δ γ =γ−γ0 between the true and the nominal values of the PLE, as shown in Equation 31).
The derivation of the equivalence sheds light upon the so-called PPE paradox and leads to an approximation of the wall value of ∂p/∂n, which is not required but implied by the staggered projection method.
It should be noted that using 13 leads to an approximation of the covariance matrix and its inverse when marker data are not complete.
The assumption of normally distributed observations leads to an approximation of the likelihood function of the following form L (θ ; y 1 : M ) ≈ L ^ (θ ; y 1 : M ) : = ∏ j = 1 M exp - 1 2 ϵ j T R j | j - 1 - 1 ϵ j | R j | j - 1 | 2 Π l where l is the number (dimension) of the observation variables.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com