Jabarkan Independent random variables dari Kamandirian statistik dalam bahasa sunda

Two random variables X and Y are independent iff for any numbers a and b the events [X ≤ a] and [Y ∈ b] are independent events as defined above. Similarly an arbitrary collection of random variables—possible more than just two of them—is independent precisely if for any finite collection X1, ..., Xn and any finite set of numbers a1, ..., an, the events [X1 ≤ a1], ..., [Xn ≤ an] are independent events as defined above.

The méasure-théoretically inclined may prefer to substitute events [X ∈ A] for events [X ≤ a] in the above definition, where A is any Borel set. That definition is exactly equivalant to the one above when the values of the random variables are real numbers. It has the advantage of working also for complex-valued random variables or for random variables taking values in any topological space.

Lamun X sarta Y bébas, mangka operator ekspektasi E mibanda sipat nu hadé

E[X· Y] = E[X] · E[Y]