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Communications in Statistics: Theory and Methods, ISSN 0361-0926, 10/2018, Volume 47, Issue 20, p. 5127
We define the [beta]-skeleton depth based on the probability that a point is contained within the [beta]-skeleton influence region of two i.i.d. random... 
Economic models | Statistical analysis | Asymptotic properties | Estimating techniques | Normality
Journal Article
The Annals of Statistics, ISSN 0090-5364, 4/2000, Volume 28, Issue 2, pp. 461 - 482
Journal Article
Journal Article
Journal of Hydrology, ISSN 0022-1694, 02/2015, Volume 521, pp. 232 - 244
The aim of regional frequency analysis (RFA) is to estimate extreme hydrological events at sites where little or no hydrological data are available. The... 
Clustering analysis | Ungauged basins | Regional frequency analysis | Statistical depth function | Homogeneous sub-region | FLOOD | ENGINEERING, CIVIL | GEOSCIENCES, MULTIDISCIPLINARY | CLASSIFICATION | WATER RESOURCES | UNGAUGED SITES | WATERSHEDS | Hydrology | Heterogeneity | Mean square values | Quantiles | Error analysis | Roots | Delineation | Regional | Estimates
Journal Article
Advances in Water Resources, ISSN 0309-1708, 08/2016, Volume 94, pp. 251 - 263
Journal Article
Statistics and Probability Letters, ISSN 0167-7152, 01/2013, Volume 83, Issue 1, pp. 213 - 218
We introduce an empirical depth function for multivariate data based on the empirical likelihood ratio for the mean. This empirical depth function is defined... 
Statistical depth function | Empirical likelihood | Mahalanobis depth | STATISTICS & PROBABILITY | LIKELIHOOD
Journal Article
Geoderma, ISSN 0016-7061, 1999, Volume 91, Issue 1, pp. 27 - 45
The objective of this paper is to test the ability of equal-area quadratic splines to predict soft depth functions based on bulk horizon data. In addition, the... 
depth functions | splines | modelling | equal-area quadratic splines | Modelling | Splines | Equal-area quadratic splines | Depth functions | AGRICULTURE, SOIL SCIENCE | Soil (Characteristics of) | Modelling (-General-) | Soil Horizons | Soil Sampling and Analysis | Sampling | Statistical Analysis
Journal Article
BioMed Research International, ISSN 2314-6133, 2013, Volume 2013, pp. 409658 - 7
Journal Article
Journal of Nonparametric Statistics, ISSN 1048-5252, 01/2009, Volume 21, Issue 1, pp. 49 - 66
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
Bernoulli, ISSN 1350-7265, 02/2015, Volume 21, Issue 1, pp. 62 - 82
We introduce a class of depth-based classification procedures that are of a nearest-neighbor nature. Depth, after symmetrization, indeed provides the... 
Symmetrization | Affine-invariance | Nearest neighbors | Statistical depth functions | Classification procedures | affine-invariance | DISCRIMINANT-ANALYSIS | ESTIMATORS | statistical depth functions | symmetrization | nearest neighbors | CLASSIFICATION | STATISTICS & PROBABILITY | classification procedures
Journal Article
Journal of Nonparametric Statistics, ISSN 1048-5252, 09/2011, Volume 23, Issue 3, pp. 617 - 631
Journal Article
Journal of Statistical Theory and Practice, ISSN 1559-8608, 9/2019, Volume 13, Issue 3, pp. 1 - 19
Traditional control charts like Hotelling $$T^2$$ T2 are based on the assumption of multivariate normality and also inapplicable to high-dimensional data. A... 
Bootstrapping | Multivariate processes | Statistical Theory and Methods | Probability Theory and Stochastic Processes | DD plot | Statistics, general | Statistics | Depth functions
Journal Article