Journal of Multivariate Analysis
Depth estimators and tests based on the likelihood principle with application to regression
Journal of Multivariate Analysis
Calculation of simplicial depth estimators for polynomial regression with applications
Computational Statistics & Data Analysis
Distribution-free tests for polynomial regression based on simplicial depth
Journal of Multivariate Analysis
Tests for multiple regression based on simplicial depth
Journal of Multivariate Analysis
| Hi-index | 0.00 |
Global depth, tangent depth and simplicial depths for classical and orthogonal regression are compared in examples, and properties that are useful for calculations are derived. The robustness of the maximum simplicial depth estimates is shown in examples. Algorithms for the calculation of depths for orthogonal regression are proposed, and tests for multiple regression are transferred to orthogonal regression. These tests are distribution free in the case of bivariate observations. For a particular test problem, the powers of tests that are based on simplicial depth and tangent depth are compared by simulations.