Correlated information sequences

and

are generated by repeated independent drawings of a pair of discrete random variables

from a given bivariate distribution

. We determine the minimum number of bits per character

and

needed to encode these sequences so that they can be faithfully reproduced under a variety of assumptions regarding the encoders and decoders. The results, some of which are not at all obvious, are presented as an admissible rate region

in the

plane. They generalize a similar and well-known result for a single information sequence, namely

for faithful reproduction.