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Title: Simultaneous inference with CoPE sets Authors:  Fabian Telschow - Humboldt University zu Berlin (Germany) [presenting]
Armin Schwartzman - University of California, San Diego (United States)
Abstract: Recently there has been an increased interest in statistical analysis of C(S)-valued random variables where S is a compact metric space. Different inference methodologies like COnfidence Probability Excursion (COPE)sets, Simultaneous Confidence Bands and statistical tests like relevant difference and bio-equivalence tests have been proposed and successfully applied. We show that all these concepts can be unified within the framework of COPE sets. In particular, we show thatCoPE sets can be used to construct relevant tube tests and equivalence tests.