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Xinyi Lei, Zhicheng Chen & Hui Li. (2023) Functional Outlier Detection for Density-Valued Data with Application to Robustify Distribution-to-Distribution Regression. Technometrics 65:3, pages 351-362.
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Melanie Horn & Christine H. Müller. (2023) Sign depth tests in multiple regression. Journal of Statistical Computation and Simulation 93:7, pages 1169-1191.
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Antonio Elías, Raúl Jiménez, Anna M. Paganoni & Laura M. Sangalli. (2023) Integrated Depths for Partially Observed Functional Data. Journal of Computational and Graphical Statistics 32:2, pages 341-352.
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Zhuo Qu & Marc G. Genton. (2022) Sparse Functional Boxplots for Multivariate Curves. Journal of Computational and Graphical Statistics 31:4, pages 976-989.
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Dungang Liu, Regina Y. Liu & Min-ge Xie. (2022) Nonparametric Fusion Learning for Multiparameters: Synthesize Inferences From Diverse Sources Using Data Depth and Confidence Distribution. Journal of the American Statistical Association 117:540, pages 2086-2104.
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Rubén Darío Guevara G & Tania Alejandra López. (2022) Process capability vector for multivariate nonlinear profiles. Journal of Statistical Computation and Simulation 92:6, pages 1292-1321.
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Pierre Lafaye de Micheaux, Pavlo Mozharovskyi & Myriam Vimond. (2021) Depth for Curve Data and Applications. Journal of the American Statistical Association 116:536, pages 1881-1897.
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Gaurav Agarwal & Ying Sun. (2021) Bivariate Functional Quantile Envelopes With Application to Radiosonde Wind Data. Technometrics 63:2, pages 199-211.
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Sami Helander, Germain Van Bever, Sakke Rantala & Pauliina Ilmonen. (2020) Pareto depth for functional data. Statistics 54:1, pages 182-204.
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Huang Huang & Ying Sun. (2019) A Decomposition of Total Variation Depth for Understanding Functional Outliers. Technometrics 61:4, pages 445-458.
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Wenlin Dai & Marc G. Genton. (2018) Multivariate Functional Data Visualization and Outlier Detection. Journal of Computational and Graphical Statistics 27:4, pages 923-934.
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Weiyi Xie, Sebastian Kurtek, Karthik Bharath & Ying Sun. (2017) A Geometric Approach to Visualization of Variability in Functional Data. Journal of the American Statistical Association 112:519, pages 979-993.
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Articles from other publishers (73)
Tianming Zhu, Jin-Ting Zhang & Ming-Yen Cheng. (2024) A global test for heteroscedastic one-way FMANOVA with applications. Journal of Statistical Planning and Inference 231, pages 106133.
Crossref
Crossref
Kelly Ramsay & Shoja'eddin Chenouri. (2023) Robust nonparametric hypothesis tests for differences in the covariance structure of functional data. Canadian Journal of Statistics 52:1, pages 43-78.
Crossref
Crossref
Salil Koner & Sheng Luo. (2024) Projection-based two-sample inference for sparsely observed multivariate functional data. Biostatistics.
Crossref
Crossref
Zhiping Qiu, Jiangyuan Fan, Jin-Ting Zhang & Jianwei Chen. (2024) Tests for equality of several covariance matrix functions for multivariate functional data. Journal of Multivariate Analysis 199, pages 105243.
Crossref
Crossref
A. Cholaquidis, R. Fraiman & L. Moreno. (2023) Level sets of depth measures in abstract spaces. TEST 32:3, pages 942-957.
Crossref
Crossref
Antonio Elías, Raúl Jiménez & Han Lin Shang. (2022) Depth-based reconstruction method for incomplete functional data. Computational Statistics 38:3, pages 1507-1535.
Crossref
Crossref
Guillaume Staerman, Eric Adjakossa, Pavlo Mozharovskyi, Vera Hofer, Jayant Sen Gupta & Stephan Clémençon. (2022) Functional anomaly detection: a benchmark study. International Journal of Data Science and Analytics 16:1, pages 101-117.
Crossref
Crossref
Kevin Leckey, Dennis Malcherczyk, Melanie Horn & Christine H. Müller. (2022) Simple powerful robust tests based on sign depth. Statistical Papers 64:3, pages 857-882.
Crossref
Crossref
Alejandro Cholaquidis, Ricardo Fraiman, Fabrice Gamboa & Leonardo Moreno. (2022) Weighted lens depth: Some applications to supervised classification. Canadian Journal of Statistics 51:2, pages 652-673.
Crossref
Crossref
Salil KonerAna-Maria Staicu. (2023) Second-Generation Functional Data. Annual Review of Statistics and Its Application 10:1, pages 547-572.
Crossref
Crossref
Luis Miguel Roldán-Alzate & Francisco Zuluaga. (2022) Assessing the effects of multivariate functional outlier identification and sample robustification on identifying critical PM2.5 air pollution episodes in Medellín, Colombia. Environmental and Ecological Statistics 29:4, pages 801-825.
Crossref
Crossref
Tianming Zhu, Jin-Ting Zhang & Ming-Yen Cheng. (2022) One-way MANOVA for functional data via Lawley–Hotelling trace test. Journal of Multivariate Analysis 192, pages 105095.
Crossref
Crossref
Oluwasegun Taiwo Ojo, Antonio Fernández Anta, Rosa E. Lillo & Carlo Sguera. (2021) Detecting and classifying outliers in big functional data. Advances in Data Analysis and Classification 16:3, pages 725-760.
Crossref
Crossref
Xurxo Rigueira, María Araújo, Javier Martínez, Paulino García-Nieto & Iago Ocarranza. (2022) Functional Data Analysis for the Detection of Outliers and Study of the Effects of the COVID-19 Pandemic on Air Quality: A Case Study in Gijón, Spain. Mathematics 10:14, pages 2374.
Crossref
Crossref
Yasser Alemán‐Gómez, Ana Arribas‐Gil, Manuel Desco, Antonio Elías & Juan Romo. (2022) Depthgram: Visualizing outliers in high‐dimensional functional data with application to fMRI data exploration. Statistics in Medicine 41:11, pages 2005-2024.
Crossref
Crossref
Antonio Elías, Raúl Jiménez & Han Lin Shang. (2022) On projection methods for functional time series forecasting. Journal of Multivariate Analysis 189, pages 104890.
Crossref
Crossref
Sami Helander, Petra Laketa, Pauliina Ilmonen, Stanislav Nagy, Germain Van Bever & Lauri Viitasaari. (2022) Integrated shape-sensitive functional metrics. Journal of Multivariate Analysis 189, pages 104880.
Crossref
Crossref
Yang Chen, Yijia Ma & Wei Wu. (2022) Rank-Based Mixture Models for Temporal Point Processes. Frontiers in Applied Mathematics and Statistics 8.
Crossref
Crossref
Mohammed Baragilly, Hend Gabr & Brian H Willis. (2021) Clustering functional data using forward search based on functional spatial ranks with medical applications. Statistical Methods in Medical Research 31:1, pages 47-61.
Crossref
Crossref
. 2022. Introduction to Robust Estimation and Hypothesis Testing. Introduction to Robust Estimation and Hypothesis Testing
827
884
.
Rand R. Wilcox. 2022. Introduction to Robust Estimation and Hypothesis Testing. Introduction to Robust Estimation and Hypothesis Testing
253
350
.
Dennis Malcherczyk, Kevin Leckey & Christine H. Müller. (2021) K-sign depth: From asymptotics to efficient implementation. Journal of Statistical Planning and Inference 215, pages 344-355.
Crossref
Crossref
Cody Carroll, Hans‐Georg Müller & Alois Kneip. (2020) Cross‐component registration for multivariate functional data, with application to growth curves. Biometrics 77:3, pages 839-851.
Crossref
Crossref
Nicola Rennie, Catherine Cleophas, Adam M. Sykulski & Florian Dost. (2021) Identifying and responding to outlier demand in revenue management. European Journal of Operational Research 293:3, pages 1015-1030.
Crossref
Crossref
Alessandra Menafoglio, Laura Guadagnini, Alberto Guadagnini & Piercesare Secchi. (2021) Object oriented spatial analysis of natural concentration levels of chemical species in regional-scale aquifers. Spatial Statistics 43, pages 100494.
Crossref
Crossref
Zhiping Qiu, Jianwei Chen & Jin-Ting Zhang. (2021) Two-sample tests for multivariate functional data with applications. Computational Statistics & Data Analysis 157, pages 107160.
Crossref
Crossref
Sara Lopez‐Pintado & Kun Qian. (2021) A depth‐based global envelope test for comparing two groups of functions with applications to biomedical data. Statistics in Medicine 40:7, pages 1639-1652.
Crossref
Crossref
Stanislav Nagy, Sami Helander, Germain Van Bever, Lauri Viitasaari & Pauliina Ilmonen. (2021) Flexible integrated functional depths. Bernoulli 27:1.
Crossref
Crossref
Yijun Zuo. (2021) On General Notions of Depth for Regression. Statistical Science 36:1.
Crossref
Crossref
Zhuo Qu, Wenlin Dai & Marc G. Genton. (2020) Robust functional multivariate analysis of variance with environmental applications. Environmetrics 32:1.
Crossref
Crossref
Yu Tian, Kunbo Zhang, Leyuan Wang & Zhenan Sun. (2020) Face Anti-Spoofing by Learning Polarization Cues in a Real-World Scenario. Face Anti-Spoofing by Learning Polarization Cues in a Real-World Scenario.
Marc G. Genton & Ying Sun. 2014. Wiley StatsRef: Statistics Reference Online. Wiley StatsRef: Statistics Reference Online
1
11
.
Wenlin Dai, Tomáš Mrkvička, Ying Sun & Marc G. Genton. (2020) Functional outlier detection and taxonomy by sequential transformations. Computational Statistics & Data Analysis 149, pages 106960.
Crossref
Crossref
Clément Lejeune, Josiane Mothe, Adil Soubki & Olivier Teste. (2020) Shape-based outlier detection in multivariate functional data. Knowledge-Based Systems 198, pages 105960.
Crossref
Crossref
Francesca Ieva & Anna Maria Paganoni. (2017) Component-wise outlier detection methods for robustifying multivariate functional samples. Statistical Papers 61:2, pages 595-614.
Crossref
Crossref
Zonghui Yao, Wenlin Dai & Marc G. Genton. (2020) Trajectory functional boxplots. Stat 9:1.
Crossref
Crossref
Olusola Samuel Makinde. (2016) Classification rules based on distribution functions of functional depth. Statistical Papers 60:3, pages 629-640.
Crossref
Crossref
Stanislav Nagy & Frédéric Ferraty. (2019) Data depth for measurable noisy random functions. Journal of Multivariate Analysis 170, pages 95-114.
Crossref
Crossref
Wenlin Dai & Marc G. Genton. (2019) Directional outlyingness for multivariate functional data. Computational Statistics & Data Analysis 131, pages 50-65.
Crossref
Crossref
Stanislav Nagy, Carsten Schütt & Elisabeth M. Werner. (2019) Halfspace depth and floating body. Statistics Surveys 13:none.
Crossref
Crossref
Davy Paindaveine & Germain Van Bever. (2018) Halfspace depths for scatter, concentration and shape matrices. The Annals of Statistics 46:6B.
Crossref
Crossref
Jason Cleveland, Weilong Zhao & Wei Wu. (2018) Robust template estimation for functional data with phase variability using band depth. Computational Statistics & Data Analysis 125, pages 10-26.
Crossref
Crossref
Beatriz Sinova, Gil González-Rodríguez & Stefan Van Aelst. (2018) M-estimators of location for functional data. Bernoulli 24:3.
Crossref
Crossref
Ignacio Cascos & Ilya Molchanov. 2018. The Mathematics of the Uncertain. The Mathematics of the Uncertain
67
78
.
David Muelas, Jorge E. López de Vergara, José R. Berrendero, Javier Ramos & Javier Aracil. (2016) Facing Network Management Challenges with Functional Data Analysis: Techniques & Opportunities. Mobile Networks and Applications 22:6, pages 1124-1136.
Crossref
Crossref
Zhuhua Lin & Yingchun Zhou. (2017) Ranking of functional data in application to worldwide PM
$$_{10}$$
10
data analysis. Environmental and Ecological Statistics 24:4, pages 469-484.
Crossref
Crossref
Irène Gijbels & Stanislav Nagy. (2017) On a General Definition of Depth for Functional Data. Statistical Science 32:4.
Crossref
Crossref
Mia Hubert, Peter Rousseeuw & Pieter Segaert. (2016) Multivariate and functional classification using depth and distance. Advances in Data Analysis and Classification 11:3, pages 445-466.
Crossref
Crossref
J. A. Cuesta-Albertos, M. Febrero-Bande & M. Oviedo de la Fuente. (2016) The $$\hbox {DD}^G$$ DD G -classifier in the functional setting. TEST 26:1, pages 119-142.
Crossref
Crossref
Anna Maria PaganoniLaura M. Sangalli. (2017) Functional regression models: Some directions of future research. Statistical Modelling 17:1-2, pages 94-99.
Crossref
Crossref
Mauro Masiol, Stefania Squizzato, Gianni Formenton, Roy M. Harrison & Claudio Agostinelli. (2017) Air quality across a European hotspot: Spatial gradients, seasonality, diurnal cycles and trends in the Veneto region, NE Italy. Science of The Total Environment 576, pages 210-224.
Crossref
Crossref
Robert Serfling & Uditha Wijesuriya. (2017) Depth-based nonparametric description of functional data, with emphasis on use of spatial depth. Computational Statistics & Data Analysis 105, pages 24-45.
Crossref
Crossref
. 2017. Introduction to Robust Estimation and Hypothesis Testing. Introduction to Robust Estimation and Hypothesis Testing
741
777
.
Rand Wilcox. 2017. Introduction to Robust Estimation and Hypothesis Testing. Introduction to Robust Estimation and Hypothesis Testing
235
318
.
Antonio Balzanella, Elvira Romano & Rosanna Verde. (2016) Modified half-region depth for spatially dependent functional data. Stochastic Environmental Research and Risk Assessment 31:1, pages 87-103.
Crossref
Crossref
Alicia Nieto-Reyes & Heather Battey. 2017. Functional Statistics and Related Fields. Functional Statistics and Related Fields
197
202
.
Stanislav Nagy. 2017. Functional Statistics and Related Fields. Functional Statistics and Related Fields
189
196
.
Sara López‐Pintado & Julia Wrobel. (2017) Robust non‐parametric tests for imaging data based on data depth. Stat 6:1, pages 405-419.
Crossref
Crossref
Christoph P. Kustosz, Christine H. Müller & Martin Wendler. (2016) Simplified simplicial depth for regression and autoregressive growth processes. Journal of Statistical Planning and Inference 173, pages 125-146.
Crossref
Crossref
Sonja Kuhnt & André Rehage. (2016) An angle-based multivariate functional pseudo-depth for shape outlier detection. Journal of Multivariate Analysis 146, pages 325-340.
Crossref
Crossref
Stanislav Nagy, Irène Gijbels & Daniel Hlubinka. (2016) Weak convergence of discretely observed functional data with applications. Journal of Multivariate Analysis 146, pages 46-62.
Crossref
Crossref
Alexander Petersen & Hans-Georg Müller. (2016) Fréchet integration and adaptive metric selection for interpretable covariances of multivariate functional data. Biometrika 103:1, pages 103-120.
Crossref
Crossref
Alicia Nieto-Reyes & Heather Battey. (2016) A Topologically Valid Definition of Depth for Functional Data. Statistical Science 31:1.
Crossref
Crossref
Stanislav Nagy, Irène Gijbels, Marek Omelka & Daniel Hlubinka. (2016) Integrated depth for functional data: statistical properties and consistency. ESAIM: Probability and Statistics 20, pages 95-130.
Crossref
Crossref
Daniel Hlubinka, Irène Gijbels, Marek Omelka & Stanislav Nagy. (2015) Integrated data depth for smooth functions and its application in supervised classification. Computational Statistics 30:4, pages 1011-1031.
Crossref
Crossref
Irène Gijbels & Stanislav Nagy. (2015) Consistency of non-integrated depths for functional data. Journal of Multivariate Analysis 140, pages 259-282.
Crossref
Crossref
Mia Hubert, Peter Rousseeuw & Pieter Segaert. (2015) Rejoinder to ‘multivariate functional outlier detection’. Statistical Methods & Applications 24:2, pages 269-277.
Crossref
Crossref
Sara López-Pintado. (2015) Discussion of Multivariate functional outlier detection by M. Hubert, P. Rousseeuw and P. Segaert. Statistical Methods & Applications 24:2, pages 253-256.
Crossref
Crossref
Yuan Yan & Marc G. Genton. (2015) Discussion of “Multivariate functional outlier detection” by Mia Hubert, Peter Rousseeuw and Pieter Segaert. Statistical Methods & Applications 24:2, pages 245-251.
Crossref
Crossref
Francesca Ieva & Anna Maria Paganoni. (2015) Discussion of “multivariate functional outlier detection” by M. Hubert, P. Rousseeuw and P. Segaert. Statistical Methods & Applications 24:2, pages 217-221.
Crossref
Crossref
Mia Hubert, Peter J. Rousseeuw & Pieter Segaert. (2015) Multivariate functional outlier detection. Statistical Methods & Applications 24:2, pages 177-202.
Crossref
Crossref
David Muelas, Jorge E. Lopez de Vergara & Jose R. Berrendero. (2015) Functional Data Analysis: A step forward in Network Management. Functional Data Analysis: A step forward in Network Management.
Grant B. WellerWilliam F. Eddy. (2015) Multivariate Order Statistics: Theory and Application. Annual Review of Statistics and Its Application 2:1, pages 237-257.
Crossref
Crossref