Abstract Consider the regression problem with a response variable Y and with a d -dimensional feature vector X . For the regression function m(x)  = E{ Y|X  =  x }, this paper investigates methods for estimating the density of the residual Y  −  m(X) from independent and identically...

In the common nonparametric regression model the problem of testing for the parametric form of the conditional variance is considered. A stochastic process based on the difference between the empirical processes obtained from the standardized nonparametric residuals under the null hypothesis (of...

Consider the regression problem with a response variable Y and with a d-dimensional feature vector X. For the regression function m(x)=E{Y|X=x}, this paper investigates methods for estimating the density of the residual Y−m(X) from independent and identically distributed data. For...

The empirical likelihood ratio (ELR) test for the problem of testing for normality in a linear regression modell is derived in this paper. The sampling properties of the ELR test and four other commonly used tests are provided and analyzed using Monte Carlo simulation. The ELR test has good...