Exact(1)
where Y=|h P |2 is the channel gain from Alice to PU, f Y (y) is the probability density function (PDF) of Y, ({f}_{{Psi _{E}}mid {(Y=y)}}) is the PDF of Ψ E conditioned on Y, and (F_{{Psi _{M}}mid {Y=y}}{(epsilon ({Psi _{E}}))}) is the cumulative distribution function (CDF) of Ψ M conditioned on Y.
Similar(59)
Similarly, when the x f are given, the probability of e f conditioned on these variables is given by (36) P (e f | λ, μ, x f, δ n f ) ∝ (x f ) δ n f + 2 e f e f !
More specifically, we develop a non-parametric Bayesian estimator for the function N e (t) conditioned on observed or sampled inter-node distances w n, w n -1,..., w2 by determining the posterior distribution P(N e (t)| w n, w n -1,..., w2).
We further denote by P e 1,2|v 1) the probability that e 1,2 is generated conditioned on that v 1 is generated.
Since we generally have no independent knowledge of θ in practice, we conditioned on E [ S ], the expected number of segregating sites per block, and adjusted θ to correspond to E [ S ] = 1 per block for a pairwise sample.
The same bias would be introduced if the association of PFCs (E) and TTP (D) were conditioned on parity (C).
However, if such a system is coupled to its environment, it becomes possible to obtain conditional measures of visibility and predictability, i.e. measures that are conditioned on the state of the environment.
The CMS provides the expected (i.e., mean) response spectrum, conditioned on occurrence of a target spectral acceleration value at the period of interest.
The fracture model consists of a number of individual fractures represented by ellipses passing through the micro-seismic points detected during the fracture stimulation process, i.e. the fracture model is conditioned on the seismic points.
For each SNP, we estimate the mean population (i.e., laboratory) haplotype length conditioned on frequency class.
CPO is a cross-validated predictive approach i.e., predictive distributions conditioned on the observed data with a single data point deleted.
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