GeDS-class: GeDS Class

Description

A fitted GeDS object returned by the function NGeDS or GGeDS, inheriting the methods for class "GeDS". Methods for functions coef, knots, print, predict, plot, and lines are available.

Arguments

Slots

Type: Character string indicating the type of regression performed. This can be "LM - Univ"/"LM - Biv" or "GLM - Univ"/"GLM - Biv", respectively corresponding to Normal univariate/bivariate GeDS (implemented by NGeDS), and to generalized (GNM-GLM) univariate/bivariate GeDS (implemented by GGeDS).

Linear.Knots

vector containing the locations of the knots of the second order GeD spline fit produced at stage A.

Quadratic.Knots

vector containing the locations of the knots of the third order GeD spline fit produced in stage B.

Cubic.knots

Vector containing the locations of the knots of the fourth order GeD spline fit produced in stage B.

Dev.Linear

deviance of the second order GeD spline fit, produced in stage A.

Dev.Quadratic

deviance of the third order GeD spline fit, produced in stage B.

Dev.Cubic

deviance of the fourth order GeD spline fit, produced in stage B.

RSS

vector containing the deviances of the second order spline fits computed at each stage A's GeDS iteration.

Linear

list containing the results from running SplineReg function to fit the second order spline fit of stage A.

Quadratic

list containing the results from running SplineReg function used to fit the third order spline fit in stage B.

Cubic

list containing the results from a SplineReg function used to fit the fourth order spline fit in stage B.

Stored

Matrix containing the knot locations estimated at each iteration of stage A.

Args

list containing the input arguments passed on the Fitters functions.

Call

call to the Fitters functions.

Nintknots

the final number of internal knots of the second order GeD spline fit produced in stage A.

iters

number of iterations performed during stage A of the GeDS fitting procedure.

Guesses

initial values for the coefficients used at each iteration of stage A in order to estimate the spline coefficients. Since the initial values are used only in the IRLS procedure, this slot is empty if the object is not created by GGeDS or GenUnivariateFitter functions.

Coefficients

matrix containing the fitted coefficients of the GeD spline regression component and the parametric component at each iteration of stage A.

iterIrls

vector containing the numbers of IRLS iterations for all iterations of stage A cumulatively. Since the IRLS procedure is used only in GGeDS or GenUnivariateFitter, this slot is empty if the object is not created by one of these functions.

stopinfo

list of values providing information related to the stopping rule of stage A of GeDS. The sub-slots of stopinfo are phis, phis_star, oldintc and oldslp. The sub-slot phis is a vector containing the values of the ratios of deviances (or the difference of deviances if the LR stopping rule was chosen). The sub-slots phis_star, oldintc and oldslp are non-empty slots if the SR stopping rule was chosen. These respectively contain the values at each iteration of stage A of \(\hat{\phi}_{\kappa}\), \(\hat{\gamma}_0\) and \(\hat{\gamma}_1\). See Dimitrova et al. (2023) for further details on these parameters.

Formula

the model formula.

extcall

call to the NGeDS or GGeDS functions.

terms

terms object containing information on the model frame.

References

Dimitrova, D. S., Kaishev, V. K., Lattuada, A. and Verrall, R. J. (2023). Geometrically designed variable knot splines in generalized (non-)linear models. Applied Mathematics and Computation, 436.
DOI: tools:::Rd_expr_doi("10.1016/j.amc.2022.127493")