Write and for the mean and variance of the distribution function C K. The saddlepoint approximations to the expectations m g,1 t) and m g,0 t) are given by where (7) where and where is the root to the equation, which can be solved explicitly in some cases, or, when not possible, numerically.
In addition, GC content at four-fold degenerate sites was used as an approximation to the neutral expectation.
In both cases, the GC content at fourfold degenerate positions was assumed to represent the genomic GC content, given that the latter has already been shown to be a good approximation of the former [ 65] and was also used as a good approximation to the neutral expectation.
In this section, our approach is to derive a tight upper bound for the expectation in (13) which can serve as an approximation to the ergodic capacity.
F can be maximized using standard variation schemes such as expectation maximization to furnish a tight-bound approximation to the log-evidence (given the linear, Gaussian model, Friston et al. [ 2007, 2008]; see also Wipf and Nagarajan [ 2009]).
It is, in the present state of knowledge, the best approximation to the truth.
Where else should people turn for some rough approximation to the truth?
The big approximation is your approximation to the problem you want to solve.
The resulting expansion provides an approximation to the mean of Q LOR, which we will denote E th [ Q LOR ] where the subscript ' th' indicates that this expectation is entirely theoretical.
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