Nothing
if (interactive()) par.default <- par(ask=TRUE)
#----- Test Logistic Distribution -----
Pi <- matrix(c(0.8, 0.2,
0.3, 0.7),
byrow=TRUE, nrow=2)
pm <- list(location=c(8, -2), scale=c(1, 0.5))
x <- dthmm(NULL, Pi, c(0,1), "logis", pm=pm)
x <- simulate(x, nsim=1000)
hist(x$x, main="", xlab=expression(x))
box()
# use above parameter values as initial values
y <- BaumWelch(x)
# check parameter estimates
print(summary(y))
print(sum(y$delta))
print(y$Pi %*% rep(1, ncol(y$Pi)))
#---------------------------------------------
# Fixed Scale Parameter
Pi <- matrix(c(0.8, 0.2,
0.3, 0.7),
byrow=TRUE, nrow=2)
n <- 1000
pm <- list(location=c(8, -2))
pn <- list(scale=rep(1, n))
x <- dthmm(NULL, Pi, c(0,1), "logis", pm=pm, pn=pn)
x <- simulate(x, nsim=n)
hist(x$x, main="", xlab=expression(x))
box()
# use above parameter values as initial values
y <- BaumWelch(x)
# check parameter estimates
print(summary(y))
print(sum(y$delta))
print(y$Pi %*% rep(1, ncol(y$Pi)))
z <- residuals(y)
qqnorm(z, main="Logistic HMM: Q-Q Plot of Pseudo Residuals")
abline(a=0, b=1, lty=3)
abline(h=seq(-2, 2, 1), lty=3)
abline(v=seq(-2, 2, 1), lty=3)
#---------------------------------------------
# Fixed Location Parameter
Pi <- matrix(c(0.8, 0.2,
0.3, 0.7),
byrow=TRUE, nrow=2)
n <- 1000
pm <- list(scale=c(0.5, 2))
pn <- list(location=c(rep(5, n/2), rep(1, n/2)))
x <- dthmm(NULL, Pi, c(0,1), "logis", pm=pm, pn=pn)
x <- simulate(x, nsim=n)
hist(x$x, main="", xlab=expression(x))
box()
# use above parameter values as initial values
y <- BaumWelch(x)
# check parameter estimates
print(summary(y))
print(sum(y$delta))
print(y$Pi %*% rep(1, ncol(y$Pi)))
z <- residuals(y)
qqnorm(z, main="Logistic HMM: Q-Q Plot of Pseudo Residuals")
abline(a=0, b=1, lty=3)
abline(h=seq(-2, 2, 1), lty=3)
abline(v=seq(-2, 2, 1), lty=3)
if (interactive()) par(par.default)
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