Theoretical and experimental results on modeling low probabilities

Alon Orlitsky, Narayana Santhanam, Krishnamurthy Viswanathan, Junan Zhang

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

Abstract

Building on [1], [5], we model probability distributions from data using the high profile distribution. We show that the high profile distribution is majorized by the empirical frequency distribution, that the support of high profile distributions can be mixed, namely the distribution can have both discrete and continuous components, and obtain the high profile distribution for certain profiles. We then experimentally compare the high profile distribution with certain estimators that have been studied in statistics literature for the species estimation problem.

Original languageEnglish (US)
Title of host publication2006 IEEE Information Theory Workshop, ITW 2006
Pages242-246
Number of pages5
StatePublished - Nov 21 2006
Event2006 IEEE Information Theory Workshop, ITW 2006 - Punta del Este, Uruguay
Duration: Mar 13 2006Mar 17 2006

Publication series

Name2006 IEEE Information Theory Workshop, ITW 2006

Other

Other2006 IEEE Information Theory Workshop, ITW 2006
CountryUruguay
CityPunta del Este
Period3/13/063/17/06

ASJC Scopus subject areas

  • Engineering(all)

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    Orlitsky, A., Santhanam, N., Viswanathan, K., & Zhang, J. (2006). Theoretical and experimental results on modeling low probabilities. In 2006 IEEE Information Theory Workshop, ITW 2006 (pp. 242-246). [1633820] (2006 IEEE Information Theory Workshop, ITW 2006).