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этимология

Что (кто) такое cyclically interchangeable random variables - определение

SEQUENCE OF RANDOM VARIABLES SUCH THAT, FOR ANY FINITE PERMUTATION OF THE INDICES, THE JOINT PROBABILITY DISTRIBUTION OF THE PERMUTED SEQUENCE EQUALS THAT OF THE ORIGINAL

Exchangeable events; Interchangeable random variables; Exchangeability; Exchangeable sequence; Exchangeable random variable; Exchangeable matrix; Exchangeable correlation matrix

Exchangeable random variables

In statistics, an exchangeable sequence of random variables (also sometimes interchangeable) is a sequence X1, X2, X3, ... (which may be finitely or infinitely long) whose joint probability distribution does not change when the positions in the sequence in which finitely many of them appear are altered.

https://en.wikipedia.org/wiki/Exchangeable_random_variables

Exchangeability

·noun The quality or state of being exchangeable.

Weakly dependent random variables

Draft:Weakly dependent random variables

In probability, weak dependence of random variables is a generalization of independence that is weaker than the concept of a martingale. A (time) sequence of random variables is weakly dependent if distinct portions of the sequence have a covariance that asymptotically decreases to 0 as the blocks are further separated in time.

https://en.wikipedia.org/wiki/Weakly_dependent_random_variables

Википедия

Exchangeable random variables

In statistics, an exchangeable sequence of random variables (also sometimes interchangeable) is a sequence X₁, X₂, X₃, ... (which may be finitely or infinitely long) whose joint probability distribution does not change when the positions in the sequence in which finitely many of them appear are altered. Thus, for example the sequences

X_{1},X_{2},X_{3},X_{4},X_{5},X_{6}\quad {\text{ and }}\quad X_{3},X_{6},X_{1},X_{5},X_{2},X_{4}

both have the same joint probability distribution.

It is closely related to the use of independent and identically distributed random variables in statistical models. Exchangeable sequences of random variables arise in cases of simple random sampling.

https://en.wikipedia.org/wiki/Exchangeable random variables