Fast algorithms for frames and point depth

Foreword ix Preface xi Depth functions in nonparametric multivariate inference Robert Serfling 1 Rank tests for multivariate scale difference based on data depth Regina Y. Liu and Kesar Singh 17 On scale curves for nonparametric description of dispersion Jin Wang and Robert Serfling 37 Data analysis and classification with the zonoid depth Karl Mosler and Richard Hoberg 49 On some parametric, nonparametric and semiparametric discrimination rules Antti Hartikainen and Hannu Oja 61 Regression depth and support vector machine Andreas Christmann 71 Spherical data depth and a multivariate median Ryan T. Elmore, Thomas P. Hettmansperger, and Fengjuan Xuan 87 Depth-based classification for functional data Sara López-Pintado and Juan Romo 103 Impartial trimmed means for functional data Juan Antonio Cuesta-Albertos and Ricardo Fraiman 121 Geometric measures of data depth Greg Aloupis 147 Computation of half-space depth using simulated annealing Biman Chakraborty and Probal Chaudhuri 159 Primal-dual algorithms for data depth David Bremner, Komei Fukuda, and Vera Rosta 171 Simplicial depth: An improved definition, analysis, and efficiency for the finite sample case Michael A. Burr, Eynat Rafalin, and Diane L. Souvaine 195