Probably instantly, although several witnesses said there seemed to be a moment's interval, came the explosion, and the top of the fog-shrouded Empire State Building was briefly seen in a bright orange glow.
At this moment, the interval reduces to [-b, b].
The solution has to be sought for in a stochastic sense and statistical quantities such as the mean, the variance, higher moments, confidence intervals and the probability distribution function (pdfs) of the solution are the objects of interest.
If so, then it is natural to think of events as being more similar to properties than to individuals, similar enough to justify treating them as a kind of property e.g., as properties of moments or intervals of time [Montague 1969], properties of cross-world classes of individuals [Lewis 1986a], or properties of sets of world segments [von Kutschera 1993].
Correlations were determined by Pearson product moment correlation for interval data and by Spearman rank order correlation for ordinal data or for interval data, which did not follow a normal distribution.
Based on the first-order Neumann series and random interval moment method, the interval bounds of the probabilistic characteristics of the uncertain temperature field are calculated effectively.
A random interval moment method is proposed to calculate the mean and variance of random interval variables.
For Poisson-distributed packet arrival, a lower second moment of scheduling interval achieves a lower mean waiting delay.
According to the response bounds, the intervals of expectation and variance of the sound pressure response vector are calculated by the random interval moment method.
Expressions for the mean value and variance of natural frequencies and mode shapes are derived by using perturbation method and random interval moment method.
Moreover, the mathematical characteristics of extrema of bounds of dynamic response are determined by random interval moment method and monotonic analysis technique.
