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Etymologie

Was (wer) ist exchangeable events - definition

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.

Exchangeable bond

TYPE OF HYBRID SECURITY

Exchangeable debt

Exchangeable bond (or XB) is a type of hybrid security consisting of a straight bond and an embedded option to exchange the bond for the stock of a company other than the issuer (usually a subsidiary or company in which the issuer owns a stake) at some future date and under prescribed conditions. An exchangeable bond is different from a convertible bond.

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

Wikipedia

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