# Fitted values of GEL and GMM

### Description

Method to extract the fitted values of the model estimated by `gel`

or `gmm`

.

### Usage

1 2 3 4 |

### Arguments

`object` |
An object of class |

`...` |
Other arguments when |

### Value

It returns a matrix of the estimated mean *\hat{y}* in `g=y~x`

as it is done by `fitted.lm`

.

### Examples

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 | ```
# GEL can deal with endogeneity problems
n = 200
phi<-c(.2,.7)
thet <- 0.2
sd <- .2
set.seed(123)
x <- matrix(arima.sim(n = n, list(order = c(2,0,1), ar = phi, ma = thet, sd = sd)), ncol = 1)
y <- x[7:n]
ym1 <- x[6:(n-1)]
ym2 <- x[5:(n-2)]
H <- cbind(x[4:(n-3)], x[3:(n-4)], x[2:(n-5)], x[1:(n-6)])
g <- y ~ ym1 + ym2
x <- H
res <- gel(g, x, c(0,.3,.6))
plot(y, main = "Fitted ARMA with GEL")
lines(fitted(res), col = 2)
# GMM is like GLS for linear models without endogeneity problems
set.seed(345)
n = 200
phi<-c(.2,.7)
thet <- 0
sd <- .2
x <- matrix(arima.sim(n = n, list(order = c(2,0,1), ar = phi, ma = thet, sd = sd)), ncol = 1)
y <- 10 + 5*rnorm(n) + x
res <- gmm(y ~ x, x)
plot(x, y, main = "Fitted model with GMM")
lines(x, fitted(res), col = 2)
legend("topright", c("Y","Yhat"), col = 1:2, lty = c(1,1))
``` |