(n)=nβ, where α and β are fixed numbers in (0,1]. For suitable pairs (α,β), our results imply that, in equilibrium, with probability tending to1 as n→∞, the proportion of queues with length equal to k=α/β is at least 1-2n-α (k-1)β, and there are no longer ...
, with probability tending to 1 as \(n \rightarrow \infty \) , in the equilibrium distribution the maximum queue length takes one of at most 2 values, and that these values are \(\log \log n / \log d + o(1)\) . more recently, there has been interest in regimes where the...
That is, each individual voter supports alternative A with probability pand B with the probability 1 − p . Under this setting, the famous Condorcet’s Jury Theorem statesthat the majority rule selects candidate A with probability tending to one when population sizeincreases to inf i nity.An...
for a given basic reproduction numberR_0, the distribution of the size of mixing groups has a significant impact on the probability and final size of a major epidemic outbreak. Moreover, the standard pair-based homogeneously mixing epidemic model is shown to represent the worst case scenario, ...
We show that the cumulative distribution function corresponding to a kernel density estimator with optimal bandwidth lies outside any confidence interval, around the empirical distribution function, with probability tending to 1 as the sample size increases....
The refinement step may be repeated several times to obtain more stable results. We show that with any fixed number of refinement steps, the BJASS procedure retains all important variables with probability tending to 1. Simulation results are presented to illustrate its performance in comparison ...
When Gibbs sampling is used, the block structure can be predicted from posterior predictive probabilities. A side result is that when the number of vertices tends to infinity while the probabilities remain constant, the block structure can be recovered correctly with probability tending to 1. 展开 ...
However, it can also suggest such positive qualities of children as innocence and wholeheartedness:took childish delight in tending his garden. Puerileandinfantileare used derogatorily to suggest extreme immaturity, especially with regard to social manners:a puerile joke; an infantile boast. ...
value of \alpha>3 \alpha>3 , and the contact process starting from all vertices infected, with a probability tending to 1 as no\infty no\infty , maintains a positive density of infected sites for time at least \exp(n^{1-\delta}) \exp(n^{1-\delta}) for any \delta>0 \delta>0 ...
In 1990, Mermin presented a n player game that is won with certainty using n spin-1/2 particles in a GHZ state whilst no classical strategy (or local theory) can win with probability higher than ${1/2} + \\\frac{1}{2^{\\\lceil n/2 ceil}}$ (which is larger than 1/2). Thi...