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Examples ofcumulant
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By definition, the fourth-ordercumulantis not expressible in terms of the product of two, or more than two, lower-order velocity moments.
From theCambridge English Corpus
The jointcumulantof a product of variates can be related to the joint cumulants of the variates, but the relationship is complicated.
From theCambridge English Corpus
The computations of the third-order moment and the fourth-ordercumulantare straightforward if we follow the method employed in computing the secondorder moment.
From theCambridge English Corpus
We find a lower bound on thecumulantgenerating function.
From theCambridge English Corpus
For that, we basically need to write the fourth-order moment in terms of a sum of the fourthordercumulantplus products of second-order ones.
From theCambridge English Corpus
The second-ordercumulantgrows from its initial order c2 to a size 4 after a time lip2 and then decays with time to zero.
From theCambridge English Corpus
The fourth-ordercumulant(kurtosis, cf. the glossary) is essential.
From theCambridge English Corpus
The fourth-order moment decomposes into the sum of three products of secondorder moments, and a fourth-ordercumulant.
From theCambridge English Corpus
The conclusion to be drawn from the reversibility argument is that irreversible relaxation of the system (3.1) to equilibrium is misrepresented by any finiteordercumulant-discard closure of the hierarchy.
From theCambridge English Corpus
These oumulants have the property that they will tend to zero as the relative separations tend to infinity, and hence thecumulanttransforms will be ordinary functions.
From theCambridge English Corpus
Extracting contributions from every term of the cluster expansion can be thought of as allowing absorption to proceed without the spatial restrictions contained in the "firstcumulant" approximations.
From theCambridge English Corpus
To be valid, such acumulantexpansion does not require that the perturbation be small, but that the structure of the coupling with the reference system be simple.
From theCambridge English Corpus
This result is not inconsistent with the fact that a single mode grows without change of phase, for in the case of a single mode thiscumulantwould be zero.
From theCambridge English Corpus
Thecumulantform of the expansion is possibly more robust than the previous equations due to the cancellations among the terms that combine to construct each cumulant.
From theCambridge English Corpus
It is worth commenting that the diffusive character of the model equation (2.1) is entirely responsible for our being able to close the set ofcumulantequations.
From theCambridge English Corpus
Under the null hypothesis of homogeneity, the distribution theory developed is applicable to the class of real stationary processes with absolutely summable autocovariance and fourth-ordercumulantstructure.
From theCambridge English Corpus
The jointcumulantof just one random variable is its expected value, and that of two random variables is their covariance.
From
This example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.Except in pathological cases, a location-scale family can be made to fit the observed mean (firstcumulant) and variance (secondcumulant) arbitrarily well.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.Cross-cumulantcalculation requires the usage of a computational much more expensive formula that comprises the calculation of sums over partitions.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors.
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