Jointly Typical Sequences
Two sequences and are jointly ε-typical if the pair is ε-typical with respect to the joint distribution and both and are ε-typical with respect to their marginal distributions and . The set of all such pairs of sequences is denoted by . Jointly ε-typical n-tuple sequences are defined similarly.
Let and be two independent sequences of random variables with the same marginal distributions and . Then the set of jointly typical sequences has the following properties:
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