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arxiv: 1101.4038 · v2 · pith:AAOETMZCnew · submitted 2011-01-20 · 🧮 math.ST · math.PR· stat.TH

Boundary crossing Random Walks, clinical trials and multinomial sequential estimation

classification 🧮 math.ST math.PRstat.TH
keywords multinomialboundaryclinicalestimatorsrandomsequentialtrialsunbiased
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A sufficient condition for the uniqueness of multinomial sequential unbiased estimators is provided generalizing a classical result for binomial samples. Unbiased estimators are applied to infer the parameters of multidimensional or multinomial Random Walks which are observed until they reach a boundary. An application to clinical trials is presented.

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