RT Journal Article T1 Quantile regression: estimation and lack-of-fit tests A1 Conde Amboage, Mercedes A1 González Manteiga, Wenceslao A1 Sánchez Sellero, César K1 Quantile regression K1 Estimation K1 Lack-of-fit tests K1 Robustness K1 Sparsity AB Although mean regression achieved its greatest diffusion in the twentieth century, it is very surprising to observe that the ideas of quantileregression appeared earlier. While the beginning of the least-squares regression can be dated in the year 1805 by the work of Legendre, in themid-eighteenth century Boscovich already adjusted data on the ellipticityof the Earth using concepts of quantile regression.Quantile regression is employed when the aim of the study is centred on the estimation of the different positions (quantiles). This kind ofregression allows a more detailed description of the behaviour of the response variable, adapts to situations under more general conditions of theerror distribution and enjoys robustness properties. For all that, quantileregression is a very useful statistical technology for a large diversity ofdisciplines. In this paper a review on quantile regression methods will bepresented PB Sociedad de Estadística e Investigación Operativa SN 2387-1725 YR 2018 FD 2018 LK http://hdl.handle.net/10347/18607 UL http://hdl.handle.net/10347/18607 LA eng NO Conde-Amboage, M., González-Manteiga, W. & Sánchez-Sellero, C. (2018). Quantile regression: estimation and lack-of-fit tests. Boletín de Estadística e Investigación Operativa. Vol. 34, no. 2, pp. 97-116 DS Minerva RD 28 abr 2026