In the 3rd chapter of the book Elements of Information Theory, typical set is defined as follows. $$A_{\epsilon}^{n}=\{x^n: H(X)-\epsilon \le\frac{1}{n}\log p(x^n) \le H(X)+\epsilon\}$$ In the 11th chapter, another definition is given as: $$T_{Q}^{\epsilon}=\{ x^n:D(P_{x^n})||Q)\le\epsilon\} $$ What is the relation between them? Which is stricter?
2026-04-08 07:30:08.1775633408
What is the relation between the two definitions of typical set
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