On the public citation graph

Data depths satisfying the projection property

https://doi.org/10.1007/s101820400167

0 signed · 81 inferred · view as graph

Inferred edges come from two machine sources: sweeps of open repository metadata (mostly SSRN and Zenodo), and a bulk OpenAlex citation snapshot. Every row below is labelled with the one it came from. Neither is a complete citation index — absence here is not evidence of absence.

Is this your work? Sign in with ORCID and put your name on the claims that are yours.

Claim with ORCID

Reference health. See whether every reference in this work resolves to a known work and none has been retracted — and get a dated CiteStamped badge you can embed.

See reference health

What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1006/jmva.1999.1894openalex-snapshot

Nonparametric Notions of Multivariate “Scatter Measure” and “More Scattered” Based on Statistical Depth Functions

inferredcites →https://doi.org/10.1006/jmva.2001.2011openalex-snapshot

Some Extensions of Tukey's Depth Function

inferredcites →https://doi.org/10.1007/978-1-4612-1880-7_2openalex-snapshot

Multivariate Symmetry Models

inferredcites →https://doi.org/10.1007/978-1-4613-0045-8openalex-snapshot

Multivariate Dispersion, Central Regions, and Depth: The Lift Zonoid Approach

inferredcites →https://doi.org/10.1007/978-1-4613-8905-7_4openalex-snapshot

Stability in Competition

inferredcites →https://doi.org/10.1007/978-3-642-46992-3_26openalex-snapshot

Zonoid Data Depth: Theory and Computation

inferredcites →https://doi.org/10.1007/pl00020903openalex-snapshot

The depth function of a population distribution

inferredcites →https://doi.org/10.1023/a:1008945009397openalex-snapshot

Computing location depth and regression depth in higher dimensions

inferredcites →https://doi.org/10.1073/pnas.85.6.1732openalex-snapshot

On a notion of simplicial depth

inferredcites →https://doi.org/10.1080/01621459.1993.10594317openalex-snapshot

A Quality Index Based on Data Depth and Multivariate Rank Tests

inferredcites →https://doi.org/10.1080/01621459.1995.10476643openalex-snapshot

Control Charts for Multivariate Processes

inferredcites →https://doi.org/10.1080/01621459.1997.10473624openalex-snapshot

Notions of LimitingPValues Based on Data Depth and Bootstrap

inferredcites →https://doi.org/10.1111/1467-9574.00195openalex-snapshot

Quantile functions for multivariate analysis: approaches and applications

inferredcites →https://doi.org/10.1111/1467-9868.00088openalex-snapshot

Balanced Confidence Regions Based on Tukey’s Depth and the Bootstrap

inferredcites →https://doi.org/10.1214/aoms/1177728498openalex-snapshot

A Bivariate Sign Test

inferredcites →https://doi.org/10.1214/aos/1016218226openalex-snapshot

General notions of statistical depth function

inferredcites →https://doi.org/10.1214/aos/1065705115openalex-snapshot

Projection-based depth functions and associated medians

inferredcites →https://doi.org/10.1214/aos/1069362382openalex-snapshot

Zonoid trimming for multivariate distributions

inferredcites →https://doi.org/10.1214/aos/1176347507openalex-snapshot

On a Notion of Data Depth Based on Random Simplices

inferredcites →https://doi.org/10.2307/2344839openalex-snapshot

The Ordering of Multivariate Data

inferredcites →https://doi.org/10.2307/3318721openalex-snapshot

Lift Zonoids, Random Convex Hulls and the Variability of Random Vectors

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.2139/ssrn.4123636openalex-extracted

Subsampling Halfspace Depth

inferred← citeshttps://doi.org/10.1002/qre.1947openalex-snapshot

Multivariate Process Capability Index Based on Data Depth Concept

inferred← citeshttps://doi.org/10.1002/wics.70038openalex-snapshot

Halfspace Depth

inferred← citeshttps://doi.org/10.1002/wrcr.20533openalex-snapshot

Exploring the hydrological robustness of model-parameter values with alpha shapes

inferred← citeshttps://doi.org/10.1007/978-3-032-30881-8_55openalex-snapshot

Asymptotic Properties of Non-parametric Multivariate Dispersion

inferred← citeshttps://doi.org/10.1007/s00180-024-01500-6openalex-snapshot

Exact and approximate computation of the scatter halfspace depth

inferred← citeshttps://doi.org/10.1007/s00362-012-0488-4openalex-snapshot

Fast nonparametric classification based on data depth

inferred← citeshttps://doi.org/10.1007/s00362-015-0738-3openalex-snapshot

Fast DD-classification of functional data

inferred← citeshttps://doi.org/10.1007/s00362-021-01259-8openalex-snapshot

Halfspace depth for general measures: the ray basis theorem and its consequences

inferred← citeshttps://doi.org/10.1007/s00477-016-1291-xopenalex-snapshot

Modified half-region depth for spatially dependent functional data

inferred← citeshttps://doi.org/10.1007/s10182-008-0061-6openalex-snapshot

A note on “Data depths satisfying the projection property”

inferred← citeshttps://doi.org/10.1007/s10958-016-3019-3openalex-snapshot

Dilemmas of Robust Analysis of Economic Data Streams*

inferred← citeshttps://doi.org/10.1007/s11634-014-0180-8openalex-snapshot

Classifying real-world data with the $${ DD}\alpha $$ D D α -procedure

inferred← citeshttps://doi.org/10.1007/s11749-018-0593-3openalex-snapshot

Affine invariant depth-based tests for the multivariate one-sample location problem

inferred← citeshttps://doi.org/10.1007/s41060-025-00784-1openalex-snapshot

Anomaly detection using data depth: multivariate case

inferred← citeshttps://doi.org/10.1016/j.csda.2009.01.017openalex-snapshot

Computing zonoid trimmed regions of dimension

inferred← citeshttps://doi.org/10.1016/j.csda.2010.09.010openalex-snapshot

Exact computation of bivariate projection depth and the Stahel–Donoho estimator

inferred← citeshttps://doi.org/10.1016/j.csda.2012.05.002openalex-snapshot

Simulated annealing for higher dimensional projection depth

inferred← citeshttps://doi.org/10.1016/j.csda.2015.12.011openalex-snapshot

Exact computation of the halfspace depth

inferred← citeshttps://doi.org/10.1016/j.csda.2020.107166openalex-snapshot

Approximate computation of projection depths

inferred← citeshttps://doi.org/10.1016/j.csda.2021.107184openalex-snapshot

Computation of projection regression depth and its induced median

inferred← citeshttps://doi.org/10.1016/j.jmva.2010.10.002openalex-snapshot

Weighted-mean trimming of multivariate data

inferred← citeshttps://doi.org/10.1016/j.jmva.2021.104757openalex-snapshot

Expectile depth: Theory and computation for bivariate datasets

inferred← citeshttps://doi.org/10.1016/j.spl.2011.10.011openalex-snapshot

Weighted-mean regions of a probability distribution

inferred← citeshttps://doi.org/10.1063/5.0016972openalex-snapshot

+Computing adjusted projection depth using GSO algorithm

inferred← citeshttps://doi.org/10.1080/00401706.2026.2616463openalex-snapshot

Abnormal Component Analysis

inferred← citeshttps://doi.org/10.1080/01621459.2018.1543123openalex-snapshot

Nonparametric Imputation by Data Depth

inferred← citeshttps://doi.org/10.1080/01621459.2020.1745815openalex-snapshot

Depth for Curve Data and Applications

inferred← citeshttps://doi.org/10.1080/03610918.2016.1277746openalex-snapshot

Robust weighted generalized estimating equations based on statistical depth

inferred← citeshttps://doi.org/10.1080/10618600.2018.1546595openalex-snapshot

Fast Computation of Tukey Trimmed Regions and Median in Dimension p > 2

inferred← citeshttps://doi.org/10.1080/10618600.2020.1776717openalex-snapshot

Illumination Depth

inferred← citeshttps://doi.org/10.1109/iccase.2011.5997575openalex-snapshot

Estimators of Mean Based on Convex Depth

inferred← citeshttps://doi.org/10.1109/tvcg.2026.3694451openalex-snapshot

Probabilistic Inclusion Depth for Fuzzy Contour Ensemble Visualization

inferred← citeshttps://doi.org/10.1111/sjos.70054openalex-snapshot

Spatial depth for data in metric spaces

inferred← citeshttps://doi.org/10.1137/24m1654919openalex-snapshot

On the Quality of Randomized Approximations of Tukey’s Depth

inferred← citeshttps://doi.org/10.1198/jasa.2009.0108openalex-snapshot

On the Concept of Depth for Functional Data

inferred← citeshttps://doi.org/10.1214/19-ss123openalex-snapshot

Halfspace depth and floating body

inferred← citeshttps://doi.org/10.1214/20-ejs1759openalex-snapshot

Uniform convergence rates for the approximated halfspace and projection depth

inferred← citeshttps://doi.org/10.1214/20-sts767openalex-snapshot

On General Notions of Depth for Regression

inferred← citeshttps://doi.org/10.1214/21-sts827openalex-snapshot

Choosing Among Notions of Multivariate Depth Statistics

inferred← citeshttps://doi.org/10.1214/22-ejs2095openalex-snapshot

Depth level set estimation and associated risk measures

inferred← citeshttps://doi.org/10.1214/23-ejs2189openalex-snapshot

Affine invariant integrated rank-weighted statistical depth: properties and finite sample analysis

inferred← citeshttps://doi.org/10.18637/jss.v091.i05openalex-snapshot

Depth and Depth-Based Classification with R Package ddalpha

inferred← citeshttps://doi.org/10.32614/rj-2021-034openalex-snapshot

Statistical Quality Control with the qcr Package

inferred← citeshttps://doi.org/10.47187/perf.v1i24.84openalex-snapshot

APLICACIONES DE NUEVAS METODOLOGÍAS PARA EL MONITOREO MULTIVARIADO DEL RENDIMIENTO ESTUDIANTIL UTILIZANDO GRÁFICOS DE CONTROL Y SISTEMAS UMBRAL

inferred← citeshttps://doi.org/10.48550/arxiv.1208.1981openalex-snapshot

General notions of depth for functional data

inferred← citeshttps://doi.org/10.48550/arxiv.1403.1158openalex-snapshot

Fast DD-classification of functional data

inferred← citeshttps://doi.org/10.48550/arxiv.1408.4542openalex-snapshot

DepthProc An R Package for Robust Exploration of Multidimensional Economic Phenomena

inferred← citeshttps://doi.org/10.48550/arxiv.1411.6927openalex-snapshot

Exact computation of the halfspace depth

inferred← citeshttps://doi.org/10.48550/arxiv.1412.5122openalex-snapshot

Fast computation of Tukey trimmed regions and median in dimension $p>2$

inferred← citeshttps://doi.org/10.48550/arxiv.1603.00069openalex-snapshot

Tukey depth: linear programming and applications

inferred← citeshttps://doi.org/10.48550/arxiv.1611.08721openalex-snapshot

Convergence of depths and depth-trimmed regions

inferred← citeshttps://doi.org/10.48550/arxiv.2106.11068openalex-snapshot

Affine-Invariant Integrated Rank-Weighted Depth: Definition, Properties and Finite Sample Analysis

inferred← citeshttps://doi.org/10.52933/jdssv.v2i1.23openalex-snapshot

On Generalization and Computation of Tukey's Depth: Part I

inferred← citeshttps://doi.org/10.6084/m9.figshare.12176466openalex-snapshot

Depth for Curve Data and Applications

inferred← citeshttps://doi.org/10.6084/m9.figshare.7590851openalex-snapshot

Nonparametric Imputation by Data Depth

inferred← citeshttps://doi.org/10.70675/0b9d3f17zbd47z4bf8zac5fz955f8a1e85fcopenalex-snapshot

Statistical Understanding of Adversarial Robustness

inferred← citeshttps://doi.org/10.70675/5a925aa6z3d5ez4a4ez8d86z2830a101b335openalex-snapshot

Contributions to explainable anomaly detection using data depth

inferred← citeshttps://doi.org/10.70675/614fcf92zed08z4709za655za8565e2422f0openalex-snapshot

Functional anomaly detection and robust estimation

inferred← citeshttps://doi.org/10.70675/baaedc7fzdbaaz4337z89a4z5cb4d019c9f8openalex-snapshot

Protecting Deep Learning Systems Against Attack : Enhancing Adversarial Robustness and Detection

Editorial review for independent work. ICSAC — the Institute for Complexity Science and Advanced Computing — runs a structured editorial panel for researchers publishing outside journals, and publishes on CiteStamp rails. Submission is free and goes through ORCID: icsacinstitute.org/submit.