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Department of Mathematical Sciences

Seminar Archives

On this page you can find information about seminars in this and previous academic years, where available on the database.

Statistics Seminars: Confidence Sets in Boundary and Set Estimation

Presented by Hanna K. Jankowski, Department of Mathematics and Statistics, York University, Toronto

5 June 2009 15:15 in CM107

The ability to estimate a set and its boundary is of primary importance in many fields. As an example, consider estimating the domain of covariates which yield dangerous blood pressure levels.

Here we consider inference of level and sublevel sets of a function by so-called "plug-in" estimators: the level and sublevel sets of a uniformly consistent estimator. We give conditions for strong consistency of these estimators and introduce a method to construct confidence sets. Our results also provide an approach to statistical inference for (compact) random closed sets and their boundaries.

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