Sentence examples for bound on the probability from inspiring English sources

We set a firm lower bound on the probability that one or more technological species have evolved anywhere and at any time in the history of the observable universe".

Therefore X min ( 2 ) does not provide a useful bound on the probability of extinction as the bound q≥0 is obvious.

For example, the extremal distribution based on one moment, X max ( 2 ), provides an upper bound on the probability of extinction, and can be seen as the upper line in both plots.

We consider two approaches: one based on Fisherian statistical testing, and another estimating a bound on the probability of a neural response.

Since some of the nucleotide errors may leave the resulting amino-acids intact, we may estimate 1% to be an upper bound on the probability of an error in an amino acid designation within any one of the PPs.

A conformal change of metric is used to construct a coupling of two time-changed Riemannian Brownian motions, so that there is an upper bound on the probability of the processes not coupling before either process leaves a small geodesic ball, with the bound being linear in the distance between the two starting points if these two points are close enough to the centre of the ball.

However, the acceptance of such calibrations in clinical fields is low due to inexperience in interpreting Bayes factors and the need to specify a prior probability to derive a lower bound on the posterior probability.

The following theorem provides an upper bound on the escape probability of the components of Q, i.e. the probability that for (iinlbrace0,1,2rbrace) the solution (X_{i}) is larger than a given threshold (x_{i}^{th}in mathbb {R}^).

When that happens, the upper bound on the posterior probability ratio also approaches 0, driving the posterior probability of hj to approach 0, effectively refuting hypothesis hj.

It would be interesting to preliminary evaluate a lower bound on the average probability of decision error, as the limiting average probability of decision error in an ideal scenario with no observation and communication noises, that is, for and.

Similar to the proof for innocent users, we could simply replace ε 2 by (frac {varepsilon _{2}}{c}) and argue that the probability of finding all pirates is the product of their individual probabilities of getting caught, leading to a lower bound on the success probability of (left (1 - frac {varepsilon _{2}}{c}right)^{c} geq 1 - varepsilon _{2}).