"actual likelihood" is correct and usable in written English.
You can use it when discussing the probability of something happening or being true. For example: "Given the actual likelihood of this happening, it doesn't seem like a worthwhile investment."
With overstimulated aspirations and expectations, the entrepreneurial fantasy society fosters the delusion that anyone can be Alan Sugar or Bill Gates, never mind that the actual likelihood of this occurring has diminished since the 1970s.
The backlash at converting existing death-row inmates to life without parole will be brief, and easily answered by Judge Carney's findings that almost none of them faced an actual likelihood of execution.
It should be noted that, for a widely used normal likelihood function, the MIS can select the representative particle based on the error distance rather than actual likelihood value.
So the actual likelihood of obtaining a stream of outcomes with likelihood ratio this small when hi is true and the number of tosses is n = 52 is Φ[1.96] >.975, whereas the lower bound given by Theorem 2 was.70.70
It turns out that in almost every case (for almost any pair of hypotheses) the actual likelihood of obtaining such evidence (i.e., evidence that has a likelihood ratio value less than ε) will be much closer to 1 than this factor indicates.[21] Thus, the theorem provides an overly cautious lower bound on the likelihood of obtaining small likelihood ratios.
For those interested in lengthening their lives, the lesson is simple: Focus on the actual likelihood of harm occurring.
The dashed lines represent the trace of the actual motions.Measurement likelihood found using MUSICMeasurement likelihood found using TDOA.
The dashed lines represent the trace of the actual motions.Measurement likelihood found using the proposed algorithm, Background noise assumed white.Measurement likelihood found using the proposed algorithm, Estimated background noise.
Log-odds scores for each predicted target are presented graphically, as two values: its actual log likelihood contribution given the previously selected targets, and the contribution it would have yielded if it were chosen first (assuming no other targets present).
Note that the actual Maximum Likelihood insertion step in MLTreeMap is clearly defined and fairly generic - it could in principle be performed also by software other than RAxML (for example by the PPLACER program; Matsen et al., personal communication; preprint at http://arxiv.org/abs/1003.5943).
In all likelihood, actual therapies are probably at least a decade away.
