On Information and Sufficiency

The information deviation between any two finite measures cannot be increasedby any statistical operations (Markov morphisms). It is invariant if and only if themorphism is sufficient for these two measures.Abbreviated Title: Information and SufficiencyAffiliation: Santa Fe Institute, 1399 Hyde Park Road, Santa Fe, NM 87501, USA. Email:zhuh@santafe.edu, Tel: +1 505 984 8800, Fax: +1 505 982 0565.AMS 1991 Classification: Primary 62B10 (stat info); Secondary 62B20 (meas th),62B05 (suff...