Aryeh Kontorovich

Senior Academic

On the concentration of the missing mass

A random variable is sampled from a discrete distribution. The missing mass is the probability of the set of points not observed in the sample. We sharpen and simplify McAllester and Ortiz's results (JMLR, 2003) bounding the probability of large deviations of the missing mass. Along the way, we refine and rigorously prove a fundamental inequality of Kearns and Saul (UAI, 1998).

Publication language English
Journal Electronic Communications in Probability
Volume 18
Publication status Published - 09.01.2013

Keywords

Concentration
Hoeffding inequality
Missing mass

ASJC Scopus subject areas

Statistics and Probability
Statistics, Probability and Uncertainty
Access to Document
10.1214/ECP.v18-2359
Other files and links
Link to publication in Scopus