We propose a new functional response quantile regression model, and develop a data-driven estimation procedure to estimate the quantile regression processes based on a local linear approximation. Theoretically, we obtain the global uniform Bahadur representation of the estimator with respect to the time...
Without loss of generality, a functional autoregressive quantile regression model of order one is constructed to predict future values of a functional response variable from past realizations. However, this model is ill-posed because the functional response and predictor variables are in infinite-...
A new method has been proposed to test the effect of a functional covariate on a scalar response, and also to test the lack-of-fit of a functional linear model. This method can be applied to lack-of-fit testing of many other functional regression models, such as for instance, the partia...
Fig. 2. QQ plots of the quantile residuals and simulated envelopes: (a) normal model and (b) Student t model. 6. Conclusion In this paper, we developed inferential methods in a regression model for replicated data. Assuming a multivariate Student t distribution for the measurement errors, we...
In the present paper, we consider thek-Nearest Neighbors (k-NN) method in the single index regression model in the case of a functional predictor and a scalar response. The main result of this work is the establishment of the almost complete convergence rates for the quasi-associated data. ...
Evidence from quantile regression model. J Clean Prod 174:447–461 Article CAS Google Scholar Yang H, Chen W, Liang Z (2017a) Impact of land use on PM2. 5 pollution in a representative city of middle China. Int J Environ Res Public Health 14(5):462 Article Google Scholar Yang Q,...
8a to d). This supports our argument that the global patterns of rarity we uncover are not simply a response to traits influenced by local features. In conjunction with a trait correlation analysis (Supplementary Fig. 9a and b), this shows that no single trait was unduly influential on the...
In all panels, bold lines indicate overall model predictions and shaded ribbons designate 95% credible intervals on these model predictions. Extended Data Fig. 4 Range in species mean values of each trait by summer temperature. Black dashed lines represent quantile regression estimates for 1% and ...
The structural equation model (SEM), which defines causal relationships and mutually interconnected equations among variables (Grace2006), was used to disentangle the direct and indirect effects between predictors and response variables by the R packagelavaan(Rosseel2012). Our models were constructed to...
Functional linear regression (FLR) with scalar response (scalar-on-function linear regression) is one of the most basic regression models among all functional regressions, which has been extensively studied in the literature (Cardot et al., 1999, Cai and Hall, 2006, Hall and Horowitz, 2007, ...