IBsplines

scalar giving lower value of the integration interval.

vector giving the upper values of the integration interval.

vector of knots spanning the desired B-spline basis.

knots

Computation of the integral of a cubic B-spline basis over (t0,x) for a given vector of knots

Computation of a cubic B-spline basis for arbitrary knots. It also provides the 1st and 2nd derivatives, as well as the integral of the basis elements. It is used by the author to fit penalized B-spline models, see e.g. Jullion, A. and Lambert, P. (2006) <doi:10.1016/j.csda.2006.09.027>, Lambert, P. and Eilers, P.H.C. (2009) <doi:10.1016/j.csda.2008.11.022> and, more recently, Lambert, P. (2021) <doi:10.1016/j.csda.2021.107250>. It is inspired by the algorithm developed by de Boor, C. (1977) <doi:10.1137/0714026>.

IBsplines: Computation of the integral of a cubic B-spline basis over (t0,x) for a given vector of knots

Description

Usage

Arguments

Value

Examples