Yes, I was wondering what you meant by the correlation of a string. Also, the definition doesn’t apply to binary variables unless you somehow interpret bits as numbers, but as you say, it doesn’t matter how you do so. There’s a reason I asked what definition you were using, not the original post.
This sort of confusion appears to be standard.
Which confusion? The confusion between a random variable and sequence of iid draws from it? And what do you mean by standard?
By “this sort of confusion” I meant the ambiguity between the correlation of two bit strings and the correlations between the individual bits. By “standard” I mean that I didn’t make this up; I’ve seen other people do this.
Anyway, perhaps it’s better to focus on the more general (and less notation-abusing) example I gave.
Yes, I was wondering what you meant by the correlation of a string. Also, the definition doesn’t apply to binary variables unless you somehow interpret bits as numbers, but as you say, it doesn’t matter how you do so. There’s a reason I asked what definition you were using, not the original post.
Which confusion? The confusion between a random variable and sequence of iid draws from it? And what do you mean by standard?
By “this sort of confusion” I meant the ambiguity between the correlation of two bit strings and the correlations between the individual bits. By “standard” I mean that I didn’t make this up; I’ve seen other people do this.
Anyway, perhaps it’s better to focus on the more general (and less notation-abusing) example I gave.