References
- Bibby JM, Kent J, and Mardia K (1979). Multivariate Analysis, Academic Press, London
- Box GEP (1949). A general distribution theory for a class of likelihood criteria, Biometrika, 36, 317-346. https://doi.org/10.1093/biomet/36.3-4.317
- Chavan AR and Shirke DT (2016). Nonparametric tests for testing equality of location parameters of two multivariate distributions, Electronic Journal of Applied Statistical Analysis, 9, 417-432.
- Chavan AR and Shirke DT (2019). Simultaneously testing for location and scale parameters of two multivariate distributions, Revista Colombiana de Estadistica, 42, 185-208. https://doi.org/10.15446/rce.v42n2.70815
- Chenouri S (2004). Multivariate robust nonparametric inference based on data depth (PhD thesis), University of Waterloo, Waterloo.
- Chenouri S and Small CG (2012). A nonparametric multivariate multisample test based on data depth, Electronic Journal of Statistics, 6, 760-782. https://doi.org/10.1214/12-EJS692
- Dovoedo YH and Chakraborti S (2015). Power of depth-based nonparametric tests for multivariate locations, Journal of Statistical Computation and Simulation, 85, 1987-2006. https://doi.org/10.1080/00949655.2014.913045
- Fraiman R, Meloche J, Garcia-Escudero LA, et al. (1999). Multivariate L-estimation, Test, 8, 255-317. https://doi.org/10.1007/BF02595872
- Hettmansperger T (1984). Statistical Inference Based on Ranks, Wiley, New York.
- Jolicoeur P and Mosimann JE (1960). Size and shape variation in the painted turtle. A principal component analysis, Growth, 24, 339-354.
- Li J, Ban J, and Santiago LS (2011). Nonparametric tests for homogeneity of species assemblages: a data depth approach, Biometrics, 67, 1481-1488. https://doi.org/10.1111/j.1541-0420.2011.01573.x
- Li J, and Liu RY (2004). New nonparametric tests of multivariate locations and scales using data depth, Statistical Science, 19, 686-696. https://doi.org/10.1214/088342304000000594
- Li J and Liu RY (2016). New Nonparametric tests for comparing multivariate scales using data depth. In Robust Rank-Based and Nonparametric Methods, 209-226, Springer.
- Liu RY (1990). On a notion of data depth based on random simplices, The Annals of Statistics, 18, 405-414. https://doi.org/10.1214/aos/1176347507
- Liu RY, Parelius JM, and Singh K (1999). Multivariate analysis by data depth: descriptive statistics, graphics and inference, (with discussion and a rejoinder by Liu and Singh), The Annals of Statistics, 27, 783-858. https://doi.org/10.1214/aos/1018031260
- Liu RY and Singh K (1993). A quality index based on data depth and multivariate rank tests, Journal of the American Statistical Association, 88, 252-260. https://doi.org/10.2307/2290720
- Liu RY and Singh K (2006). Rank tests for multivariate scale difference based on data depth, DIMACS Series in Discrete Mathematics and Theoretical Computer Science, 72, 17-35. https://doi.org/10.1090/dimacs/072/02
- Mahalanobis PC (1936). On the generalized distance in statistics. In Proceedings of the National Institute of Sciences (India), 2, 49-55.
- Oja H (1983). Descriptive statistics for multivariate distributions, Statistics & Probability Letters, 1, 327-332. https://doi.org/10.1016/0167-7152(83)90054-8
- Pawar SD and Shirke DT (2019). Nonparametric tests for multivariate locations based on data depth, Communications in Statistics-Simulation and Computation, 48, 753-776. https://doi.org/10.1080/03610918.2017.1397165
- R Core Team (2018). R: A Language and Environment for Statistical Computing, R Foundation for Statistical Computing, https://www.R-project.org/.
- Rousson V (2002). On distribution-free tests for the multivariate two-sample location-scale model, Journal of Multivariate Analysis, 80, 43-57. https://doi.org/10.1006/jmva.2000.1981
- Serfling R (2002). A depth function and a scale curve based on spatial quantiles, Statistical Data Analysis Based on the L1-Norm and Related Methods, 25-38, Springer.
- Shirke, DT and Khorate, SD (2017). Power comparison of data depth-based nonparametric tests for testing equality of locations, Journal of Statistical Computation and Simulation, 87, 8, 1489-1497. https://doi.org/10.1080/00949655.2016.1269329
- Singh K (1991). A notion of majority depth (Technical report), Rutgers University.
- Tukey JW (1975). Mathematics and the picturing of data. In Proceedings of the International Congress of Mathematicians, Vancouver, 1975, 2, 523-531.
- Zuo Y and Serfling R (2000). General notions of statistical depth function, Annals of Statistics, 28, 461-482. https://doi.org/10.1214/aos/1016218226