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- Law_of_total_cumulance abstract "In probability theory and mathematical statistics, the law of total cumulance is a generalization to cumulants of the law of total probability, the law of total expectation, and the law of total variance. It has applications in the analysis of time series. It was introduced by David Brillinger.It is most transparent when stated in its most general form, for joint cumulants, rather than for cumulants of a specified order for just one random variable. In general, we havewhere κ(X1, ..., Xn) is the joint cumulant of n random variables X1, ..., Xn, and the sum is over all partitions of the set { 1, ..., n } of indices, and "B ∈ π" means B runs through the whole list of "blocks" of the partition π, and κ(Xi : i ∈ B | Y) is a conditional cumulant given the value of the random variable Y. It is therefore a random variable in its own right—a function of the random variable Y.↑".
- Law_of_total_cumulance wikiPageID "1611766".
- Law_of_total_cumulance wikiPageRevisionID "422459172".
- Law_of_total_cumulance hasPhotoCollection Law_of_total_cumulance.
- Law_of_total_cumulance subject Category:Algebra_of_random_variables.
- Law_of_total_cumulance subject Category:Statistical_laws.
- Law_of_total_cumulance subject Category:Statistical_theorems.
- Law_of_total_cumulance subject Category:Theory_of_probability_distributions.
- Law_of_total_cumulance type Abstraction100002137.
- Law_of_total_cumulance type Collection107951464.
- Law_of_total_cumulance type Communication100033020.
- Law_of_total_cumulance type Group100031264.
- Law_of_total_cumulance type Law108441203.
- Law_of_total_cumulance type Message106598915.
- Law_of_total_cumulance type Proposition106750804.
- Law_of_total_cumulance type Statement106722453.
- Law_of_total_cumulance type StatisticalLaws.
- Law_of_total_cumulance type StatisticalTheorems.
- Law_of_total_cumulance type Theorem106752293.
- Law_of_total_cumulance comment "In probability theory and mathematical statistics, the law of total cumulance is a generalization to cumulants of the law of total probability, the law of total expectation, and the law of total variance. It has applications in the analysis of time series. It was introduced by David Brillinger.It is most transparent when stated in its most general form, for joint cumulants, rather than for cumulants of a specified order for just one random variable.".
- Law_of_total_cumulance label "Law of total cumulance".
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- Law_of_total_cumulance sameAs Q6503512.
- Law_of_total_cumulance sameAs Q6503512.
- Law_of_total_cumulance sameAs Law_of_total_cumulance.
- Law_of_total_cumulance wasDerivedFrom Law_of_total_cumulance?oldid=422459172.
- Law_of_total_cumulance isPrimaryTopicOf Law_of_total_cumulance.