TY - GEN
T1 - Theoretical and experimental results on modeling low probabilities
AU - Orlitsky, Alon
AU - Santhanam, Narayana
AU - Viswanathan, Krishnamurthy
AU - Zhang, Junan
PY - 2006
Y1 - 2006
N2 - 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.
AB - 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.
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M3 - Conference contribution
AN - SCOPUS:33751046657
SN - 142440035X
SN - 9781424400355
T3 - 2006 IEEE Information Theory Workshop, ITW 2006
SP - 242
EP - 246
BT - 2006 IEEE Information Theory Workshop, ITW 2006
T2 - 2006 IEEE Information Theory Workshop, ITW 2006
Y2 - 13 March 2006 through 17 March 2006
ER -