What does cumulant mean?

Definitions for cumulant
cu·mu·lant

This dictionary definitions page includes all the possible meanings, example usage and translations of the word cumulant.


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Wiktionary

  1. cumulantnoun

    Any of a set of parameters of a one-dimensional probability distribution of a certain form

Wikipedia

  1. Cumulant

    In probability theory and statistics, the cumulants κn of a probability distribution are a set of quantities that provide an alternative to the moments of the distribution. Any two probability distributions whose moments are identical will have identical cumulants as well, and vice versa. The first cumulant is the mean, the second cumulant is the variance, and the third cumulant is the same as the third central moment. But fourth and higher-order cumulants are not equal to central moments. In some cases theoretical treatments of problems in terms of cumulants are simpler than those using moments. In particular, when two or more random variables are statistically independent, the n-th-order cumulant of their sum is equal to the sum of their n-th-order cumulants. As well, the third and higher-order cumulants of a normal distribution are zero, and it is the only distribution with this property. Just as for moments, where joint moments are used for collections of random variables, it is possible to define joint cumulants.

Wikidata

  1. Cumulant

    In probability theory and statistics, the cumulants κn of a probability distribution are a set of quantities that provide an alternative to the moments of the distribution. The moments determine the cumulants in the sense that any two probability distributions whose moments are identical will have identical cumulants as well, and similarly the cumulants determine the moments. In some cases theoretical treatments of problems in terms of cumulants are simpler than those using moments. Just as for moments, where joint moments are used for collections of random variables, it is possible to define joint cumulants.

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Numerology

  1. Chaldean Numerology

    The numerical value of cumulant in Chaldean Numerology is: 5

  2. Pythagorean Numerology

    The numerical value of cumulant in Pythagorean Numerology is: 6

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"cumulant." Definitions.net. STANDS4 LLC, 2024. Web. 19 Mar. 2024. <https://www.definitions.net/definition/cumulant>.

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