Title: Distributed Inference in Extreme Value Statistics Professor Chen ZHOU (Erasmus University Rotterdam) Abstract: The availability of massive datasets allows for conducting extreme value statistics using more observations drawn from the tail of an underlying distribution. When large datasests are distributedly stored and cannot be combined into one oracle sample, a divide-and-conquer algorithm is often invoked to construct a distributed estimator. If the distributed estimator possesses the same asymptotic behavior as the hypothetical oracle estimator based on the oracle sample, then it is regarded as satisfying the oracle property. In a series of works, we introduce a set of tools for establishing the oracle property of most estimators in extreme value statistics. The tools are based on the (multivariate) tail empirical process and the tail quantile process.
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