Therefore no finite value can be selected with more than a 50 % chance of being above " N " ( the marginal distribution of " N " ).
32.
The term "'nuisance variable "'is sometimes also used in more general contexts, simply to designate those variables that are marginalised over when finding a marginal distribution.
33.
The package allows the updating of a " N "-dimensional array with respect to given target marginal distributions ( which, in turn can be multi-dimensional ).
34.
Some correlation statistics, such as the rank correlation coefficient, are also invariant to monotone transformations of the marginal distributions of " X " and / or " Y ".
35.
The marginal distribution can be transformed into the density matrix and / or the Wigner function give information about the quantum state of the photon, we have reconstructed the quantum state of the photon.
36.
For multimodal marginal distributions ( a beam profile with multiple peaks ), the 1 / e 2 width usually does not yield a meaningful value and can grossly underestimate the inherent width of the beam.
37.
The prediction is not just an estimate for that point, but also has uncertainty information-- it is a one-dimensional Gaussian distribution ( which is the marginal distribution at that point ).
38.
The marginal distribution of each of the X _ i variables is negative binomial, as the X _ i count ( considered as success ) is measured against all the other outcomes ( failure ).
39.
In probability theory and its applications, factor graphs are used to represent factorization of a probability distribution function, enabling efficient computations, such as the computation of marginal distributions through the sum-product algorithm.
40.
In the Bayesian derivation of the marginal distribution of an unknown normal mean \ mu above, \ sigma as used here corresponds to the quantity \ scriptstyle { s / \ sqrt { n } }, where
