MIC.splines.basis: Splines basis functions

Description

Creation splines basis for M_splines, I_splines and C_splines

Usage

MIC.splines.basis(x, df = NULL, knots = NULL, boundary.knots = NULL, 
type = "Ms", degree = 3, delta = 0.01, eq.alloc = F)

Arguments

values of covariate

number of splines needed which is equal to knots+degree

knots

number of knots needed which does not include the number of knots at the beginning

boundary.knots

the values of boundary knots, which are usually the minimum and maximum of covariate

type

types of splines basis needed, which can be Ms Is or Cs

degree

degree of the splines function

delta

the length of the spans to split the range of covariate

eq.alloc

indicators of whether the knots are equally allocated

Value

list(mat=mat,x=x, df=df, knots=knots,boundary.knots=boundary.knots, type=type,degree=degree,delta=delta)

mat

it is a matrix of splines basis

the input of covariate

the input of number of splines needed

knots

the input of number of knots needed not including the boundary

boundary.knots

the values of boundary knots

type

type of splines function which can be MS IS or Cs

degree

degree of the splines functions

delta

the length of the spans to split the range of covariate

References

Hong. Y., Y. Duan, W. Q. Meeker, D. L. Stanley, and X. Gu (2014), Statistical Methods for Degradation Data with Dynamic Covariates Information and an Application to Outdoor Weathering Data, Technometrics, DOI: 10.1080/00401706.2014.915891.

Examples

Run this code

# NOT RUN {
MIC.splines.basis(x=runif(20), df = NULL, knots = 3, boundary.knots = NULL, 
    type = "Ms", degree = 4, delta = 0.01, eq.alloc = FALSE) 
# }