Sentence examples for between random variables in from inspiring English sources
The intuitive idea is that, following the definition of statistical independence between random variables, in the case of a classifier predicting at random, the predicted class labels are statistically independent of the true class labels.
One obtains and The four indexes, ρ, θ, θ** and q** produce a different value of the strength of association between random variables in a distribution.
We can rewrite (3.11) in an integral form as the equality between random variables with values in (3.45).
Because, we can rewrite (3.11) in the following form which should be understood as the equality between random variables with values in : (3.31).
Unless stated otherwise, inequalities between random variables will be meant in a (mathcal {P}_{[underline {a},overline {a}]} -quasi-sure sense (written (mathcal {P} -quasi-sure {a} -quasi-sure}]})-q.senser short), writtennequalities between (mathcal{P}_)-progressively measurable processes will be in the (mathcal {P}_{[underline {a},overline {a}]} -q.ss dt)-q.e.
Each of the random processes is characterized by all of the possible moments between the random variables; in this work consideration will be restricted to random processes whose joint distributions are Gaussian.
The use of mutual information as a distance measure between random variables and is very common in pattern comparison.
There is a huge amount of literature on estimates of different probability metrics between random variables, measuring the rates of convergence in various limit theorems, such as Poisson approximation and the central limit theorem.
It remains to specify R. For a weak-sense stationary process, the covariance between random variables depends only upon their separation in time-index.
In general, there is confusion between random variables and parameters.
In this paper, the statistical dependence between random variables is quantified by mutual information and estimated using a k nearest neighbor based approximation.
