cyclically interchangeable random variables - translation to russian
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cyclically interchangeable random variables - translation to russian

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

cyclically interchangeable random variables      
циклически переставляемые случайные величины
exchangeability         

нефтегазовая промышленность

взаимозаменяемость

exchangeable events         
эквивалентные события

Definition

Exchangeability
·noun The quality or state of being exchangeable.

Wikipedia

Exchangeable random variables

In statistics, an exchangeable sequence of random variables (also sometimes interchangeable) is a sequence X1X2X3, ... (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  and  X 3 , X 6 , X 1 , X 5 , X 2 , X 4 {\displaystyle 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.

What is the Russian for cyclically interchangeable random variables? Translation of &#39cyclically i