PredStempCens {StempCens} | R Documentation |
This function performs spatio-temporal prediction in a set of new S spatial locations for fixed time points.
PredStempCens(Est.StempCens, locPre, timePre, xPre)
Est.StempCens |
an object of class |
locPre |
a matrix of coordinates for which the spatial prediction is performed. |
timePre |
the time point between 1 and n for which the spatial prediction is performed. |
xPre |
a matrix of covariates for which the spatial prediction is performed. |
The function returns an object of class Pred.StempCens
which is a list given by:
predValues |
predicted values. |
VarPred |
predicted covariance matrix. |
Katherine A. L. Valeriano, Victor H. Lachos and Larissa A. Matos
# Initial parameter values beta <- c(-1,1.50); phi <- 5; rho <- 0.6; tau2 <- 0.80; sigma2 <- 2 # Simulating data n1 <- 7 # Number of spatial locations n2 <- 5 # Number of temporal index set.seed(400) x.coord <- round(runif(n1,0,10),9) # X coordinate y.coord <- round(runif(n1,0,10),9) # Y coordinate coordenadas <- cbind(x.coord,y.coord) # Cartesian coordinates without repetitions coord2 <- cbind(rep(x.coord,each=n2),rep(y.coord,each=n2)) # Cartesian coordinates with repetitions time <- as.matrix(seq(1,n2,1)) # Time index without repetitions time2 <- as.matrix(rep(time,n1)) # Time index with repetitions x1 <- rexp(n1*n2,2) x2 <- rnorm(n1*n2,2,1) x <- cbind(x1,x2) media <- x%*%beta # Covariance matrix H <- as.matrix(dist(coordenadas)) # Spatial distances Mt <- as.matrix(dist(time)) # Temporal distances Cov <- CovarianceM(phi,rho,tau2,sigma2,distSpa=H,disTemp=Mt,kappa=0,type.S="gaussian") # Data require(mvtnorm) y <- as.vector(rmvnorm(1,mean=as.vector(media),sigma=Cov)) data <- as.data.frame(cbind(coord2,time2,y,x)) names(data) <- c("x.coord","y.coord","time","yObs","x1","x2") # Splitting the dataset local.est <- coordenadas[c(1,2,4,5,6),] data.est <- data[data$x.coord%in%local.est[,1]&data$y.coord%in%local.est[,2],] data.valid <- data[data$x.coord%in%coordenadas[c(3,7),1]&data$y.coord%in%coordenadas[c(3,7),2],] # Censored perc <- 0.2 y <- data.est$yObs aa=sort(y); bb=aa[1:(perc*nrow(data.est))]; cutof<-bb[perc*nrow(data.est)] cc=matrix(1,nrow(data.est),1)*(y<=cutof) y[cc==1] <- cutof data.est <- cbind(data.est[,-c(4,5,6)],y,cc,data.est[,c(5,6)]) names(data.est) <- c("x.coord","y.coord","time","yObs","censored","x1","x2") # Estimation y <- data.est$yObs x <- cbind(data.est$x1,data.est$x2) cc <- data.est$censored time2 <- as.data.frame(data.est$time) coord2 <- data.est[,1:2] est_teste <- EstStempCens(y, x, cc, time2, coord2, inits.phi=3.5, inits.rho=0.5, inits.tau2=1, type.Data="balanced", cens.type="left", method="nlminb", kappa=0, type.S="gaussian", IMatrix=TRUE, lower.lim=c(0.01,-0.99,0.01), upper.lim=c(30,0.99,10), M=20, perc=0.25, MaxIter=50, pc=0.2, error = 10^-6) class(est_teste) # Prediction locPre <- data.valid[,1:2] timePre <- as.data.frame(data.valid$time) xPre <- cbind(data.valid$x1,data.valid$x2) pre_teste <- PredStempCens(est_teste, locPre, timePre, xPre) library(ggplot2) Model <- rep(c("y Observed","y Predicted"),each=10) xcoord1 <- rep(seq(1:5),4) ycoord1 <- c(data.valid$yObs,pre_teste$predValues) data2 <- data.frame(Model,xcoord1,ycoord1) # Station 1 fig1 <- ggplot(data=data2[c(1:5,11:15),], aes(x=xcoord1, y=ycoord1)) + geom_line(aes(color=Model),show.legend=FALSE) + labs(x="",y="",title="Station 1") # Station 2 fig2 <- ggplot(data=data2[c(6:10,16:20),], aes(x=xcoord1, y=ycoord1)) + geom_line(aes(color=Model),show.legend=TRUE) + theme(legend.position="bottom") + labs(x="",y="",title="Station 2") library(gridExtra) grid.arrange(fig1,fig2)