library(astsa)
mod01 = arima.sim(200, model = list(ma = c(0.5)))
par(mfrow=c(1,1), mar=c(3,3,1,2)+.5, mgp=c(1.6,.6,0), pch=19)
plot(mod01, main=expression(paste("Modelo MA(1), ",phi[1],"= 0.5" )),xlab="", ylab=" ", type="b")
grid()

acf2(mod01)

##      [,1]  [,2]  [,3]  [,4]  [,5] [,6] [,7] [,8]  [,9] [,10] [,11] [,12] [,13]
## ACF   0.4  0.02 -0.04 -0.03 -0.01    0 0.07 0.07  0.02 -0.01 -0.02 -0.05 -0.05
## PACF  0.4 -0.17  0.02 -0.02  0.00    0 0.08 0.01 -0.01  0.00 -0.01 -0.04 -0.01
##      [,14] [,15] [,16] [,17] [,18] [,19] [,20] [,21] [,22] [,23] [,24] [,25]
## ACF   0.01  0.08  0.04 -0.18 -0.14 -0.11 -0.17 -0.15 -0.03  0.15  0.20  0.10
## PACF  0.04  0.05 -0.02 -0.21  0.04 -0.10 -0.13 -0.06  0.04  0.14  0.12  0.01
mod02 = arima.sim(200, model = list(ma = c(1.5)))
par(mfrow=c(1,1), mar=c(3,3,1,2)+.5, mgp=c(1.6,.6,0), pch=19)
plot(mod02, main=expression(paste("Modelo MA(1), ",phi[1],"= 1.5" )), xlab="", ylab=" ", type="b")
grid()

acf2(mod02)

##      [,1]  [,2] [,3]  [,4] [,5] [,6] [,7] [,8]  [,9] [,10] [,11] [,12] [,13]
## ACF  0.47  0.00 0.04  0.08 0.08 0.12 0.12 0.06 -0.01 -0.04  0.00  0.06  0.07
## PACF 0.47 -0.28 0.23 -0.07 0.10 0.07 0.03 0.02 -0.06 -0.01  0.01  0.04  0.01
##      [,14] [,15] [,16] [,17] [,18] [,19] [,20] [,21] [,22] [,23] [,24] [,25]
## ACF   0.09  0.07  0.00 -0.07 -0.04 -0.01  0.02  0.01  0.02  0.02  0.16  0.18
## PACF  0.08 -0.01 -0.02 -0.08  0.03 -0.06  0.05 -0.04  0.06  0.01  0.25 -0.04
mod03 = arima.sim(200, model = list(ma = c(0.5,1.5)))
par(mfrow=c(1,1), mar=c(3,3,1,2)+.5, mgp=c(1.6,.6,0), pch=19)
plot(mod03, main=expression(paste("Modelo MA(2), ",phi[1],"= 0.5, ", phi[2],"= 1.5" )), xlab="", ylab=" ", type="b")
grid()

acf2(mod03)

##      [,1] [,2]  [,3]  [,4] [,5] [,6]  [,7] [,8] [,9] [,10] [,11] [,12] [,13]
## ACF  0.34 0.49  0.06  0.07 0.09 0.13  0.13 0.17 0.10  0.14  0.02  0.11 -0.07
## PACF 0.34 0.43 -0.25 -0.14 0.28 0.15 -0.15 0.06 0.12  0.01 -0.14  0.11 -0.09
##      [,14] [,15] [,16] [,17] [,18] [,19] [,20] [,21] [,22] [,23] [,24] [,25]
## ACF   0.14 -0.01  0.16  0.09  0.09  0.01 -0.02 -0.13 -0.08 -0.08  0.02  0.07
## PACF  0.11  0.03  0.00  0.04  0.00 -0.13 -0.03 -0.07 -0.06  0.07  0.06  0.05
mod04 = arima.sim(200, model = list(ma = c(-0.5,1.5)))
par(mfrow=c(1,1), mar=c(3,3,1,2)+.5, mgp=c(1.6,.6,0), pch=19)
plot(mod04, main=expression(paste("Modelo MA(2), ",phi[1],"= -0.5, ", phi[2],"= 1.5" )), xlab="", ylab=" ", type="b")
grid()

acf2(mod04)

##       [,1] [,2]  [,3] [,4]  [,5]  [,6]  [,7]  [,8] [,9] [,10] [,11] [,12] [,13]
## ACF  -0.56 0.42 -0.11 0.05 -0.09  0.07 -0.02 -0.05 0.12 -0.16  0.15 -0.13  0.02
## PACF -0.56 0.15  0.27 0.05 -0.21 -0.09  0.13  0.00 0.05 -0.12  0.00  0.03 -0.09
##      [,14] [,15] [,16] [,17] [,18] [,19] [,20] [,21] [,22] [,23] [,24] [,25]
## ACF   0.00 -0.09  0.05 -0.08  0.06 -0.14  0.17 -0.18  0.22 -0.13  0.17 -0.08
## PACF -0.01 -0.09 -0.01 -0.03  0.01 -0.11  0.05  0.02  0.14  0.05  0.10  0.00
mod05 = arima.sim(200, model = list(ma = c(-0.5,-1.5)))
par(mfrow=c(1,1), mar=c(3,3,1,2)+.5, mgp=c(1.6,.6,0), pch=19)
plot(mod05, main=expression(paste("Modelo MA(2), ",phi[1],"= -0.5, ", phi[2],"= -1.5" )), xlab="", ylab=" ", type="b")
grid()

acf2(mod05)

##      [,1]  [,2]  [,3]  [,4]  [,5]  [,6] [,7]  [,8]  [,9] [,10] [,11] [,12]
## ACF   0.1 -0.47 -0.05  0.07 -0.05 -0.11 0.01  0.12  0.01 -0.16  0.02  0.18
## PACF  0.1 -0.49  0.09 -0.22 -0.02 -0.22 0.01 -0.04 -0.02 -0.18  0.07  0.00
##      [,13] [,14] [,15] [,16] [,17] [,18] [,19] [,20] [,21] [,22] [,23] [,24]
## ACF   0.00 -0.17 -0.01  0.04  0.05  0.00 -0.09  0.12  0.09 -0.15 -0.06  0.09
## PACF  0.02 -0.12  0.04 -0.16  0.16 -0.15  0.03  0.06  0.03 -0.06  0.05 -0.06
##      [,25]
## ACF   0.01
## PACF  0.04