what does Xn mean here?

[W_Heisenberg]

As shown in the graph, what is this Xn, is it also a sequence? What kind of sequence?

 

[Shug]

Yes Xn is a sequence. Your other post uses the same variable, so let us say that the converging sequence is Yn instead of Xn; then if you have a set of random variables X1...Xn, Yn = -1/n*log(p(X1...Xn)), and this Yn converges in probability to H(X) (as N->infinity, Pr(|Yn-H(X)|>epsilon)->0).

 

[W_Heisenberg]

would not we use X^n instead of Xn to represent a sequence?

How is X^n differ from Xn?

I always confused about this

Yes Xn is a sequence. Your other post uses the same variable, so let us say that the converging sequence is Yn instead of Xn; then if you have a set of random variables X1...Xn, Yn = -1/n*log(p(X1...Xn)), and this Yn converges in probability to H(X) (as N->infinity, Pr(|Yn-H(X)|>epsilon)->0).

 

[Shug]

X^n and Xn are just notation. Different people and different books use different notation; you have to pay attention to the context to see which one is being used.

 

[W_Heisenberg]

In my textbook, the author use both.

This involves a problem that Xn may refer to X1 X2, which are the symbol in the sequence.

X^n and Xn are just notation. Different people and different books use different notation; you have to pay attention to the context to see which one is being used.

 

[FvM]

Xn is just the n-th element in the sequence.

 

[W_Heisenberg]

I believe this is right

Xn is just the n-th element in the sequence.