Smoothed analysis is a method for analyzing the performance of algorithms for which classical worst-case analysis fails to explain the performance observed in practice. Smoothed analysis has been applied to explain the performance of a variety of algorithms in the last years. One particular class of algorithms where smoothed analysis has been used successfully are local search algorithms. We gi...

The kernel smoothed Nelson–Aalen estimator has been well investigated, but is unsuitable when some of the censoring indicators are missing. A representation introduced by Dikta, however, facilitates hazard estimation when there are missing censoring indicators. In this article, we investigate (i) a kernel smoothed semiparametric hazard estimator and (ii) a kernel smoothed “pre-smoothed” Nelson ...

In this paper we discuss the treatment of discontinuities in Smoothed Particle Hydrodynamics (SPH) simulations. In particular we discuss the difference between integral and differential representations of the fluid equations in an SPH context and how this relates to the formulation of dissipative terms for the capture of shocks and other discontinuities. This has important implications for many...

32.1 Smoothed ANOVA . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 586 32.1.1 Zhang et al.’s SANOVA proposal . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 586 32.1.2 Maŕi-Dell’Olmo et al.’s SANOVA proposal . . . . . . . . . . . . . . . . . . . . . . . . . . . 588 32.2 Some Specific Application...