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 ...

Chen, J. and Wu, C. (2002) Estimation of Distribution Function and Quantiles Using the Model-Calibrated Pseudo Empirical Likelihood Method. Statistica Sinica, 12, 1223-1239. - References - Scientific ...

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].

Nonparametric regression quantiles obtained by inverting a kernel estimator of the conditional distribution of the response are long established in statistics. Attention has been, however, restricted ...

This paper introduces a novel Poisson-unit-Weibull (PUW) distribution, which is defined on a unit domain and characterized by three parameters. The PUW distribution is capable of accommodating diverse ...