Universal Coding on Infinite Alphabets: Exponentially Decreasing Envelopes
Universal Coding on Infinite Alphabets: Exponentially Decreasing Envelopes
This paper deals with the problem of universal lossless coding on a countable infinite alphabet. It focuses on some classes of sources defined by an envelope condition on the marginal distribution, namely exponentially decreasing envelope classes with exponent . The minimax redundancy of exponentially decreasing envelope classes is proved to …