#´chaine de markov a temps discrete
#'@export
#'@param z numeric vector representing the steps
#´@param mu numeric vector the initial distribution
#´@param p transition matrix
#´@param n numeric number representing number of steps
Simr<-function(z,mu,P,n)
{
y<-c(rep(0,n+1))
t<-c(0:n)
y[1]<-rdist(z,mu)
for(i in 1:n){
y[i+1]<-rdist(z,P[y[i],])
}
plot(t,y,type = "b",main = "graphe des états pour tous temps de 0 à n" ,pch=5,xlim=c(0,n),ylim=c(0,length(mu)+1),xlab = "temps" ,ylab = "états",col="green")
par(mfrow = c(2,1))
return(y)
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