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 ...

For example, adaptations of the unit Burr-XII distribution for quantile regression modelling have demonstrated enhanced flexibility in accommodating varying data dispersions and asymmetric shapes [2].

DRIES F. BENOIT, DIRK VAN DEN POEL, BINARY QUANTILE REGRESSION: A BAYESIAN APPROACH BASED ON THE ASYMMETRIC LAPLACE DISTRIBUTION, Journal of Applied Econometrics, Vol. 27, No. 7 (November-December ...