We develop a novel exploratory tool for non-Euclidean object data based on data depth,
extending celebrated Tukey's depth for Euclidean data. The proposed metric halfspace …

We study depth measures for multivariate data defined by integrating univariate depth
measures, specifically, integrated dual (ID) depth introduced by Cuevas and Fraiman (2009) …

The residual-based (RB) receiver autonomous integrity monitoring (RAIM) detector is a
widely used receiver integrity enhancement technology that has the ability to rapidly …

Simulated annealing is a widely used algorithm for the computation of global optimization
problems in computational chemistry and industrial engineering. However, global optimum …

The halfspace depth is a powerful tool for the nonparametric multivariate analysis. However,
its computation is very challenging for it involves the infimum over infinitely many directional …

Depth of the Tukey median is investigated for empirical distributions. A sharper upper bound
is provided for this value for data sets in general position. This bound is lower than the …

Projection depth (PD), one of the prevailing location depth notions, is a powerful and favored
tool for multivariate nonparametric analysis. It permits the extension of the univariate median …

As a kind of the aircraft with orbital altitudes between 400 and 2000 km, LEO satellites with
the advantages of small size and low cost, play an important role in various earth …

The maximum depth estimator (aka depth median)(β RD∗) induced from regression depth
(RD) of Rousseeuw and Hubert (1999) is one of the most prevailing estimators in …

The projection median as introduced by Durocher and Kirkpatrick (2005); Durocher and
Kirkpatrick (2009) is a robust multivariate, nonparametric location estimator. It is a weighted …