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Improved nonparametric estimation of the number of zeros and illustrations

Thursday, July 7, 2016 - 16:00
Professor Celestin Kokonendji, Universite de Franche-Comte
Statistics Seminar
Room 4192, Earth Sciences Building (2207 Main Mall)

In this talk we present some lower bounds for the probability of zero for the class of count distributions having a log-convex probability generating function, which includes Compound and Mixed Poisson distributions. These lower bounds allow to construct non-parametric estimators of the non-observed number of zeros, which are useful in capture-recapture models. Some of these bounds lead to the well known Chao's and Turing's estimators. Several examples of application are analyzed and discussed.