Showing 1 - 10 of 1,081
Persistent link: https://www.econbiz.de/10014134907
Classical regression analysis uses partial coefficients to measure the influences of some variables (regressors) on another variable (regressand). However, a descriptive point of view shows that these coefficients are very bad measures of influence. Their interpretation as an average change of...
Persistent link: https://www.econbiz.de/10011511033
Explained variance (R^2) is a familiar summary of the fit of a linear regression and has been generalized in various ways to multilevel (hierarchical) models. The multilevel models we consider in this paper are characterized by hierarchical data structures in which individuals are grouped into...
Persistent link: https://www.econbiz.de/10011513072
The least-absolute-deviations (LAD) estimator for a median- regression model does not satisfy the standard conditions for obtaining asymptotic refinements through use of the bootstrap because the LAD objective function is not smooth. This paper overcomes this problem by smoothing the objective...
Persistent link: https://www.econbiz.de/10014106259
In this supplemental article, we introduce some useful results in spectral theory and perturbation theory. Some of the results are well-established. We briefly review them for the purpose of easy reference. We derive a novel bound for the perturbation of eigenprojections, which plays a key role...
Persistent link: https://www.econbiz.de/10012822551
This paper studies a class of exponential family models whose canonical parameters are specified as linear functionals of an unknown infinite-dimensional slope function. The optimal minimax rates of convergence for slope function estimation are established. The estimators that achieve the...
Persistent link: https://www.econbiz.de/10012857026
We introduce tests for finite-sample linear regressions with heteroskedastic errors. The tests are exact, i.e., they have guaranteed type I error probabilities when bounds are known on the range of the dependent variable, without any assumptions about the noise structure. We provide upper bounds...
Persistent link: https://www.econbiz.de/10014197050
For a broad class of linear biased estimators, we establish conditions under which the F statistic based on biased estimators is identical to the F statistic based on least-squares estimator. Several biased estimators in the literature are shown to satisfy these conditions
Persistent link: https://www.econbiz.de/10013103793
We consider inference for predictive regressions with multiple predictors. Extant tests for predictability may perform unsatisfactorily and tend to discover spurious predictability as the number of predictors increases. We propose a battery of new instrumental-variables based tests which involve...
Persistent link: https://www.econbiz.de/10013300441
We consider fully modified least squares estimation for systems of cointegrating polynomial regressions, i. e., systems of regressions that include deterministic variables, integrated processes and their powers as regressors. The errors are allowed to be correlated across equations, over time...
Persistent link: https://www.econbiz.de/10013479635