Functional boxplots

Journal of Computational and Graphical Statistics

Volumn 20, Issue 2, 2011, Pages 316-334

  Sun, Ying ^a   Genton, Marc G ^a  

^a TEXAS A AND M UNIVERSITY   (United States)

Author keywords

Depth; Functional data; Growth data; Precipitation data; Space time data; Visualization

Indexed keywords

EID: 80051614399     PISSN: 10618600     EISSN: None     Source Type: Journal    
DOI: 10.1198/jcgs.2011.09224     Document Type: Article

References (25)

1. Cuevas, A., Febrero, M., and Fraiman, R. (2006), "On the Use of the Bootstrap for Estimating Functions With Functional Data," Computational Statistics and Data Analysis, 51 (2), 1063-1074. [317]
2. Cuevas, A., Febrero, M., and Fraiman, R. (2007), "Robust Estimation and Classification for Functional Data via Projection-Based Depth Notions," Computational Statistics, 22, 481-496. [317]
3. Dioses, T., Dávalos, R., and Zuzunaga, J. (2002), "El Niño 1982-1983 and 1997-1998: Effects on Peruvian Jack Mackerel and Peruvian Chub Mackerel," Investigaciones Marinas, 30 (1), 185-187. [320]
4. Dryden, I. L., and Mardia, K. V. (1998), Statistical Shape Analysis. Wiley Series in Probability and Statistics: Probability and Statistics, Chichester: Wiley. [316]
5. Febrero, M., Galeano, P., and González-Manteiga, W. (2007), "Functional Analysis of NOx Levels: Location and Scale Estimation and Outlier Detection," Computational Statistics, 22 (3), 411-427. [317]
6. Febrero, M., Galeano, P., and González-Manteiga, W. (2008), "Outlier Detection in Functional Data by Depth Measures, With Application to Identify Abnormal NOx Levels," Environmetrics, 19 (4), 331-345. [317]
7. Ferraty, F., and Vieu, P. (2006), Nonparametric Functional Data Analysis: Theory and Practice, New York: Springer. [316]
8. Fitzenberger, B., Koenker, R., and Machado, J. A. F. (2002), Economic Applications of Quantile Regression, New York: Springer Verlag. [316]
9. Fletcher, P., Lu, C., Pizer, S., and Joshi, S. (2004), "Principal Geodesic Analysis for the Study of Nonlinear Statistics of Shape," IEEE Transactions on Medical Imaging, 23 (8), 995-1005. [316]
10. Fraiman, R., and Meloche, J. (1999), "Multivariate L-Estimation," Test, 8, 255-317. [317]
11. Fraiman, R., and Muniz, C. (2001), "Trimmed Means for Functional Data," Test, 10 (2), 419-440. [317,323]
12. Hyndman, R. J., and Shang, H. L. (2010), "Rainbow Plots, Bagplots, and Boxplots for Functional Data," Journal of Computational and Graphical Statistics, 19, 29-45. [317,320,322,325-327,332]
13. Liu, R. (1990), "On a Notion of Data Depth Based on Random Simplices," The Annals of Statistics, 18, 405-414. [317]
14. Liu, R. Y., Parelius, J. M., and Singh, K. (1999), "Multivariate Analysis by Data Depth: Descriptive Statistics, Graphics and Inference," The Annals of Statistics, 27, 783-858. [319]
15. López-Pintado, S., and Romo, J. (2009), "On the Concept of Depth for Functional Data," Journal of the American Statistical Association, 104, 718-734. [317,318,323]
16. Mahalanobis, P. C. (1936), "On the Generalized Distance in Statistics," Proceedings of National Academy of Science of India, 12, 49-55. [317]
17. Oja, H. (1983), "Descriptive Statistics for Multivariate Distributions," Statistics & Probability Letters, 1, 327-332. [317]
18. R Development Core Team (2010), R: A Language and Environment for Statistical Computing, Vienna, Austria: R Foundation for Statistical Computing. ISBN 3-900051-07-0, available at http://www.R-project.org. [321]
19. Ramsay, J. O., and Silverman, B. W. (2005), Functional Data Analysis (2nd ed.), New York: Springer Verlag. [316,328]
20. Rousseeuw, P., Ruts, I., and Tukey, J. W. (1999), "The Bagplot: A Bivariate Boxplot," The American Statistician, 53 (4), 382-387. [317]
21. Singh, K. (1991), "A Notion of Majority Depth," unpublished manuscript, Rutgers University. [317]
22. Tukey, J. W. (1970), Exploratory Data Analysis (Limited Preliminary Edition), Vol. 1, Reading, MA: Addison-Wesley, Chapter 5. [317]
23. Tukey, J. W. (1975), "Mathematics and the Picturing of Data," in Proceedings of the International Congress ofMathematicians, August 21-29, 1974, Vol. 2, ed. R. D. James, Vancouver: Canadian Mathematical Society, pp. 523-531. [317]
24. Tukey, J. W. (1977), Exploratory Data Analysis, Reading, MA: Addison-Wesley. [317]
25. 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. [317]