Gauss3 {NISTnls} | R Documentation |
The Gauss3
data frame has 250 rows and 2 columns giving generated
data of Gaussian peaks with a decaying exponential background.
y |
A numeric vector of generated responses. |
x |
A numeric vector of generated inputs. |
This data frame contains the following columns:
The data are two strongly-blended Gaussians on a decaying exponential baseline plus normally distributed zero-mean noise with variance = 6.25.
Rust, B., NIST (1996).
library(NISTnls) data(Gauss3) plot(y ~ x, data = Gauss3) fm1 <- nls(y ~ b1*exp( -b2*x ) + b3*exp( -(x-b4)**2 / b5**2 ) + b6*exp( -(x-b7)**2 / b8**2 ), data = Gauss3, trace = TRUE, start = c(b1 = 94.9, b2 = 0.009, b3 = 90.1, b4 = 113, b5 = 20, b6 = 73.8, b7 = 140, b8 = 20)) fm2 <- nls(y ~ b1*exp( -b2*x ) + b3*exp( -(x-b4)**2 / b5**2 ) + b6*exp( -(x-b7)**2 / b8**2 ), data = Gauss3, trace = TRUE, start = c(b1 = 96, b2 = 0.0096, b3 = 80, b4 = 110, b5 = 25, b6 = 74, b7 = 139, b8 = 25)) fm3 <- nls(y ~ cbind(exp(-b2*x), exp(-(x-b4)**2/b5**2), exp(-(x-b7)**2/b8**2)), data = Gauss3, trace = TRUE, start = c(b2 = 0.009, b4 = 113, b5 = 20, b7 = 140, b8 = 20), algorithm = "plinear") fm4 <- nls(y ~ cbind(exp(-b2*x), exp(-(x-b4)**2/b5**2), exp(-(x-b7)**2/b8**2)), data = Gauss3, trace = TRUE, start = c(b2 = 0.0096, b4 = 110, b5 = 25, b7 = 139, b8 = 25), algorithm = "plinear")