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Computational Statistics and Data Analysis, ISSN 0167-9473, 07/2018, Volume 123, pp. 1 - 12
Two procedures for supervised classification are proposed. These are based on data depth and focus on the centre of each class. The classifiers add either a... 
Bayes classifier | Nonparametric | Rank | Supervised learning | Data depth | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MULTIVARIATE | STATISTICS & PROBABILITY | HALF-SPACE DEPTH | CLASSIFIERS
Journal Article
Journal of the American Statistical Association, ISSN 0162-1459, 09/2013, Volume 108, Issue 503, pp. 1105 - 1119
Aiming at analyzing multimodal or nonconvexly supported distributions through data depth, we introduce a local extension of depth. Our construction is obtained... 
Regression depth | Nonconvex support | Multimodality | Statistical depth functions | Symmetry testing | Classification | Theory and Methods | CONTOURS | MAXIMUM DEPTH | QUANTILES | MULTIVARIATE | STATISTICS & PROBABILITY | NOTION | SYMMETRY | CONVERGENCE | HALF-SPACE DEPTH | Models | Regression analysis | Probability | Multivariate analysis
Journal Article
Geophysics, ISSN 0016-8033, 07/2012, Volume 77, Issue 4, pp. WB171 - WB177
We tested a new robust concept for the calculation of depth of investigation (DOI) that is valid for any ID electromagnetic (EM) geophysical model. A good... 
Electromagnetics | Resistivity | Airborne survey | GEOCHEMISTRY & GEOPHYSICS | LATERALLY CONSTRAINED INVERSION | RESISTIVITY | TEM DATA | RESOLUTION | Data points | Half spaces | Thresholds | Noise | Electrical resistivity | Geophysics | Mathematical models | Jacobians
Journal Article
The Annals of Statistics, ISSN 0090-5364, 4/2000, Volume 28, Issue 2, pp. 461 - 482
Journal Article
Journal of the Royal Statistical Society, Series B, ISSN 1369-7412, 03/2017, Volume 79, Issue 2, pp. 449 - 461
Journal Article
Nature Geoscience, ISSN 1752-0894, 10/2012, Volume 5, Issue 10, pp. 749 - 754
Santorini Volcano, the site of the catastrophic Minoan eruption in Greece, exhibits two distinct eruptive styles: small, effusive eruptions occur relatively... 
AEGEAN SEA | GREECE | THERA | GEOSCIENCES, MULTIDISCIPLINARY | KAMENI ISLANDS | INFLATION | ERUPTION | MODEL | LONG VALLEY CALDERA | ELASTIC HALF-SPACE | DEFORMATION
Journal Article
Computational Statistics, ISSN 0943-4062, 12/2017, Volume 32, Issue 4, pp. 1395 - 1410
Journal Article
Stochastic Processes and their Applications, ISSN 0304-4149, 12/2016, Volume 126, Issue 12, pp. 3681 - 3700
Since contours of multi-dimensional depth functions often characterize the distribution, it has become of interest to consider structural properties and limit... 
Convergence of empirical quantile and depth regions | Tukey depth | Empirical processes | Central limit theorems | Depth | Consistency | STATISTICS & PROBABILITY | HALF-SPACE DEPTH | NOTION | Stochastic processes
Journal Article
Journal of Multivariate Analysis, ISSN 0047-259X, 01/2019, Volume 169, pp. 363 - 380
In this paper, we study the asymptotic behavior of generalized depth-based spread processes, which include the scale curve of Liu et al. (1999) as a special... 
Generalized spread process | Depth function | Nonparametric method | Multivariate normality | Asymptotics | Multivariate kurtosis | Scale curve | LOCATION | CONTOURS | CLASSIFICATION | STATISTICS & PROBABILITY | FUNCTIONAL DATA | LIMIT-THEOREMS | DESCRIPTIVE STATISTICS | CONVERGENCE | SCALE | HALF-SPACE DEPTH
Journal Article
Annals of the Institute of Statistical Mathematics, ISSN 0020-3157, 4/2014, Volume 66, Issue 2, pp. 303 - 324
Journal Article
应用数学和力学:英文版, ISSN 0253-4827, 2016, Volume 37, Issue 1, pp. 59 - 74
This paper presents a study of the finite depth Stokes' first problem for a thixotropic layer. The yield behavior of the thixotropic fluid in this problem is... 
Stokes’ first problem | thixotropy | O373 | yield | 76A05 | Mechanics | Mathematics | Applications of Mathematics | Mathematical Modeling and Industrial Mathematics | MATHEMATICS, APPLIED | MECHANICS | Stokes' first problem | POROUS HALF-SPACE | BOUNDARY | MODEL | PIPE | STRESS | FLOW | Stokes' law | Thixotropy | Fluids | Analysis
Journal Article
Mathematics and Mechanics of Solids, ISSN 1081-2865, 4/2019, Volume 24, Issue 4, pp. 1147 - 1160
The load–depth relation is a fundamental requisite in nanoindentation tests for thin layers; however, the effects of surface tension are seldom included. This... 
contact mechanics | elastic layer | surface tension | load–depth relation | Nanoindentation | load-depth relation | ENERGY | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | MATERIALS SCIENCE, MULTIDISCIPLINARY | HALF-SPACE | HARDNESS | CONTACT PROBLEM
Journal Article
Bernoulli, ISSN 1350-7265, 08/2015, Volume 21, Issue 3, pp. 1435 - 1466
Journal Article
Mechanics of Materials, ISSN 0167-6636, 11/2017, Volume 114, pp. 172 - 179
The classic version of the depth-sensing indentation techniques assumes the estimation of the elastic contact modulus of a material sample by measuring the... 
Contact stiffness | Depth-sensing | Substrate effect | Coal | Thin film | NANOINDENTATION | MATERIALS SCIENCE, MULTIDISCIPLINARY | COATED HALF-SPACE | NONCLASSICAL SELF-SIMILARITY | MECHANICAL-PROPERTIES | YOUNGS MODULUS | MECHANICS | ELASTIC-MODULUS | PARAMETRIC HOMOGENEITY | HARDNESS | Thin films | Dielectric films
Journal Article
ALEA-LATIN AMERICAN JOURNAL OF PROBABILITY AND MATHEMATICAL STATISTICS, ISSN 1980-0436, 2013, Volume 10, Issue 2, pp. 831 - 855
We study some problems inherent with certain forms of functional depth, in particular, zero depth and lack of consistency. 
simplicial depth | half-space depth | STATISTICS & PROBABILITY | CLT | consistency | functional depth
Journal Article
Statistics, ISSN 0233-1888, 09/2016, Volume 50, Issue 5, pp. 1075 - 1085
The smoothness of Tukey depth contours is a regularity condition often encountered in asymptotic theory, among others. This condition ensures that the Tukey... 
quasi-concavity | data depth | depth contours | optimal halfspace | smoothness | Tukey depth | DISTRIBUTIONS | CHARACTERIZE | STATISTICS & PROBABILITY | ASYMPTOTICS | HALF-SPACE DEPTH | Economic models | Smoothness | Regularity | Contours
Journal Article
Journal Article