References
- Baggerly , K. A. and Scott , D. W. 1999 . Discussion of ‘Multivariate Analysis by Data Depth: Descriptive Statistics, Graphics and Inference’ by Liu, Parelius and Singh . Annals of Statistics , 27 : 843 – 845 .
- Bartoszyński , R. , Pearl , D. K. and Lawrence , J. 1997 . A Multidimensional Goodness-of-Fit Test Based on Interpoint Distances . Journal of the American Statistical Association , 92 : 577 – 586 .
- Cuevas , A. and Fraiman , R. 2009 . On Depth Measures and Dual Statistics. A Methodology for Dealing with General Data . Journal of Multivariate Analysis , 100 : 753 – 766 .
- Fraiman , R. and Meloche , J. 1999 . Multivariate L-estimation’ (with discussion) . Test , 8 : 255 – 317 .
- Hall , P. and Tajvidi , N. 2002 . Permutation Tests for Equality of Distributions in High-dimensional Settings . Biometrika , 89 : 359 – 374 .
- Liu , R. Y. 1990 . On a Notion of Data Depth Based on Random Simplices . Annals of Statistics , 18 : 405 – 414 .
- Liu , R. Y. 1992 . “ Data Depth and Multivariate Rank Tests ” . In L1-Statistical Analysis and Related Methods , Edited by: Dodge , Y. 279 – 294 . Amsterdam : North Holland .
- Liu , R. Y. and Singh , K. 1997 . Notions of Limiting P Values Based on Data Depth and Bootstrap . Journal of the American Statistical Association , 92 : 266 – 277 .
- Liu , R. Y. , Parelius , J. M. and Singh , K. 1999 . Multivariate Analysis by Data Depth: Descriptive Statistics, Graphics and Inference’ (with discussion) . Annals of Statistics , 27 : 783 – 858 .
- López-Pintado , S. and Jornsten , R. 2007 . Functional Analysis via Extensions of the Band Depth . IMS Lecture Series , 54 : 103 – 120 . (ed. R. Liu et al.)
- López-Pintado , S. and Romo , J. 2007 . Depth-based Inference for Functional Data . Computational Statistics and Data Analysis , 51 : 4957 – 4968 .
- Maa , J.-F. , Pearl , D. K. and Bartoszyński , R. 1996 . Reducing Multidimensional Two-sample Data to One-dimensional Interpoint Distances . Annals of Statistics , 24 : 1069 – 1074 .
- Rosenbaum , P. R. 2005 . An Exact Distribution-free Test Comparing Two Multivariate Distributions Based on Adjacency . Journal of the Royal Statistical Society Series B , 67 : 515 – 530 .
- Schilling , M. F. 1986 . Multivariate Two-sample Tests Based on Nearest Neighbors . Journal of the American Statistical Association , 81 : 799 – 806 .
- Vardi , Y. and Zhang , C.-H. 2000 . The Multivariate L1-median and Associated Data Depth . Proceedings of the National Academy of Sciences of the United States of America , 97 : 1423 – 1426 .
- Yeh , A. B. 1996 . Bootstrap Percentile Confidence Bands Based on the Concept of Curve Depth . Communications in Statistics – Simulation and Computation , 25 : 905 – 922 .
- Yeh , A. B. and Singh , K. 1997 . Balanced Confidence Regions Based on Tukey's Depth and the Bootstrap . Journal of the Royal Statistical Society Series B , 59 : 639 – 652 .
- Zuo , Y. and Serfling , R. J. 2000 . General Notions of Statistical Depth Function . Annals of Statistics , 28 : 461 – 482 .