Articles with "critical boundary" as a keyword



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On a weighted trace embedding and applications to critical boundary problems †

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Published in 2021 at "Mathematische Nachrichten"

DOI: 10.1002/mana.201900012

Abstract: We prove a weighted Sobolev trace embedding in the upper half‐space and give its best constant. This embedding can be employed to study a number of critical boundary problems. In this direction, we obtain existence… read more here.

Keywords: embedding applications; trace embedding; weighted trace; critical boundary ... See more keywords
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On selecting the critical boundary functions in group-sequential trials with two time-to-event outcomes.

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Published in 2020 at "Contemporary clinical trials"

DOI: 10.1016/j.cct.2020.106244

Abstract: We investigate selection of critical boundary functions for testing the hypotheses of two time-to-event outcomes as both primary endpoints or a primary and a secondary endpoint in group-sequential clinical trials, where (1) the effect sizes… read more here.

Keywords: two time; time event; group sequential; critical boundary ... See more keywords