TY - GEN

T1 - Relative redundancy for large alphabets

AU - Orlitsky, Alon

AU - Santhanam, Narayana

AU - Zhang, Junan

PY - 2006/12/1

Y1 - 2006/12/1

N2 - Standard redundancy measures the excess number of bits required to encode a sequence of a given length when the underlying distribution is not known. Relative redundancy measures the same increase, but as a function of the sequence's minimum description length. We consider the relative redundancy of i.i.d. distributions over large alphabets and show that, like standard redundancy, relative redundancy too increases with the alphabet size. We then consider compression of patterns of i.i.d. strings. Again analogous to standard redundancy, we show that the relative redundancy of patterns of large, or even infinite alphabet i.i.d. distributions is negligible compared to the patterns' minimum description length.

AB - Standard redundancy measures the excess number of bits required to encode a sequence of a given length when the underlying distribution is not known. Relative redundancy measures the same increase, but as a function of the sequence's minimum description length. We consider the relative redundancy of i.i.d. distributions over large alphabets and show that, like standard redundancy, relative redundancy too increases with the alphabet size. We then consider compression of patterns of i.i.d. strings. Again analogous to standard redundancy, we show that the relative redundancy of patterns of large, or even infinite alphabet i.i.d. distributions is negligible compared to the patterns' minimum description length.

UR - http://www.scopus.com/inward/record.url?scp=39049107079&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=39049107079&partnerID=8YFLogxK

U2 - 10.1109/ISIT.2006.262138

DO - 10.1109/ISIT.2006.262138

M3 - Conference contribution

AN - SCOPUS:39049107079

SN - 1424405041

SN - 9781424405046

T3 - IEEE International Symposium on Information Theory - Proceedings

SP - 2672

EP - 2676

BT - Proceedings - 2006 IEEE International Symposium on Information Theory, ISIT 2006

T2 - 2006 IEEE International Symposium on Information Theory, ISIT 2006

Y2 - 9 July 2006 through 14 July 2006

ER -