TY  - JOUR 
AU  - Hallin, Marc
AU  - del Barrio, Eustasio
AU  - Cuesta-Albertos, Juan
AU  - Matrán, Carlos
PY  - 2021
SN  - 0090-5364
UR  - https://uvadoc.uva.es/handle/10324/82097
AB  - Unlike the real line, the real space Rd , for d ≥ 2, is not canonically ordered. As a consequence, such fundamental univariate concepts as quantile and distribution functions and their empirical counterparts, involving ranks and signs, do not...
LA  - eng
KW  - Estadística
KW  - ancillarity , Basu theorem , cyclical monotonicity , distribution-freeness , Glivenko–Cantelli theorem , multivariate distribution function , Multivariate quantiles , multivariate ranks , multivariate signs
TI  - Distribution and quantile functions, ranks and signs in dimension d: A measure transportation approach
DO  - 10.1214/20-AOS1996
ER  -