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Events (or random variables) are independent when information on some of them tells you nothing about the probability of occurrence (/ distribution) of the others. Please DO NOT use this tag for independent variable use [predictor] instead.
4
votes
Accepted
Are the products of dependent and independent random variables independent?
First, define dependent to mean not independent, that is, the joint distribution is not the product of the marginal distributions. Note also that all constant variables are independent of everything. …
84
votes
Accepted
On the importance of the i.i.d. assumption in statistical learning
At least not for methods based on the working independence assumptions. I am happy to be proved wrong here. … The working modelling assumption of independence may be wrong for either of the modelling approaches. …
1
vote
How to model the sum of Bernoulli random variables for dependent data?
If the dependence is due to clumping, a compound Poisson model could be the solution as a model of $S_j$. A somewhat random reference is this one by Barbour and Chryssaphinou.
In a completely differ …