Group sequential design for randomized trials using “first hitting time” model
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DOI: 10.1002/sim.9360
Abstract: Group sequential design (GSD) has become a popular choice in recent clinical trials as it improves trial efficiency by providing options for early termination. The implementation of traditional tests for survival analysis (eg, the log‐rank… read more here.
Keywords: sequential design; first hitting; design; model ... See more keywords
First Hitting Time Distributions for Brownian Motion and Regions with Piecewise Linear Boundaries
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DOI: 10.1007/s11009-018-9638-z
Abstract: Explicit formulas for the first hitting time distributions for a standard Brownian motion and different regions including rectangular, triangle, quadrilateral and a region with piecewise linear boundaries are derived. Moreover, approximations to the first hitting… read more here.
Keywords: hitting time; linear boundaries; time distributions; brownian motion ... See more keywords
Long hitting time for translation flows and L-shaped billiards
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DOI: 10.3934/jmd.2019011
Abstract: We consider the flow in direction $\theta$ on a translation surface and we study the asymptotic behavior for $r\to 0$ of the time needed by orbits to hit the $r$-neighborhood of a prescribed point, or… read more here.
Keywords: time; translation; hitting time; diophantine type ... See more keywords