legendre_polynomial {plde}

legendre_polynomial

Description

legendre_polynomial gives the Legendre polynomial design matrix over the input node points.

Usage

legendre_polynomial(x, sm)

Arguments

x

input node points

sm

List of plde fit

Author(s)

JungJun Lee, Jae-Hwan Jhong, Young-Rae Cho, SungHwan Kim, Ja-yong Koo

References

JungJun Lee, Jae-Hwan Jhong, Young-Rae Cho, SungHwan Kim and Ja-Yong Koo. "Penalized Log-density Estimation Using Legendre Polynomials." Submitted to Communications in Statistics - Simulation and Computation (2017), in revision.

Examples

# clean up
rm(list = ls())
library(plde)
x = seq(-1, 1, length = 200)
L = legendre_polynomial(x, list(dimension = 10))
# Legendre polynomial basis for dimension 1 to 10
matplot(x, L, type = "l")