find.c: Work Function for 'smoothSurvReg'

In smoothSurv: Survival Regression with Smoothed Error Distribution

Work Function for 'smoothSurvReg'

Description

Find mixture proportions that approximate given distribution by a G-spline mixture.

Usage

find.c(knots, sdspline, dist = "dnorm")

Arguments

knots	A vector of G-spline knots mu.
sdspline	Standard deviation sigma0 of the basis G-spline.
dist	A character string specifying the function used to compute a density of the distribution you want to approximate.

Details

The function finds the G-spline coefficients that approximates a density given by dist in such sense that the value of the G-spline is exactly equal to the value of that density in knots.

Value

Either the vector of G-spline 'c' coefficients or NULL if there are problems to find them.

Author(s)

Arnošt Komárek [e-mail]

Examples

knots <- seq(-4, 4, 0.5)
sd0 <- 0.3
ccoef <- find.c(knots, sd0, dist = "dstlogis")

### We plot the approximation together with the truth
###
grid <- seq(-4, 4, 0.05)
truth <- dstlogis(grid)

### Following lines compute the values of the approximation
grid.big <- matrix(grid, nrow = length(grid), ncol = length(knots))
knots.big <- matrix(knots, nrow = length(grid), ncol = length(knots), byrow = TRUE)
normals <- dnorm(grid.big, mean = knots.big, sd = sd0)
approx <- normals %*% ccoef

### Plot it
plot(grid, approx, type = "l", xlab = "y", ylab = "f(y)", bty = "n")
lines(grid, truth, lty = 2)
legend(-4, 0.35, c("approx", "truth"), lty = 1:2, bty = "n")

smoothSurv documentation built on Oct. 11, 2022, 1:05 a.m.