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Data:
4 5 7 5 6 5 3 7 7 11 13 13 9 7 6 3 5 1 5 2 9 4 4 10 8 6 7 0 7 4 5 11 2 4 5 12 10 6 6 8 3 10 2 5 4 3 8 5 7 1 7 4 8 7 10 2 6 6 11 8 8 6 11 15 9 5 10 4 9 3 7 7 9 15 11 10 6 5 6 6 14 11 1 9 13 10 11 7 6 4 6 8 6 7 12 20 10 14 11 13 7 9 8 7 9 10 12 13 11 11 14 10 9 12 8 13 14 15 14 14 15 14 21 10 8 12 13 6 12 12
Seasonal Period
12
12
1
2
3
4
6
12
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R Code
par1 <- as.numeric(par1) n <- length(x) sx <- sort(x) load(file='createtable') a<-table.start() a<-table.row.start(a) a<-table.element(a,'Variance Reduction Matrix',6,TRUE) a<-table.row.end(a) for (bigd in 0:2) { for (smalld in 0:3) { mylabel <- 'V(Y[t],d=' mylabel <- paste(mylabel,as.character(smalld),sep='') mylabel <- paste(mylabel,',D=',sep='') mylabel <- paste(mylabel,as.character(bigd),sep='') mylabel <- paste(mylabel,')',sep='') a<-table.row.start(a) a<-table.element(a,mylabel,header=TRUE) myx <- x if (smalld > 0) myx <- diff(myx,lag=1,differences=smalld) if (bigd > 0) myx <- diff(myx,lag=par1,differences=bigd) a<-table.element(a,signif(var(myx), digits=6)) a<-table.element(a,'Range',header=TRUE) a<-table.element(a,signif(max(myx)-min(myx), digits=6)) a<-table.element(a,'Trim Var.',header=TRUE) smyx <- sort(myx) sn <- length(smyx) a<-table.element(a,signif(var(smyx[smyx>quantile(smyx,0.05) & smyx<quantile(smyx,0.95)]), digits=6)) a<-table.row.end(a) } } a<-table.end(a) table.save(a,file='mytable.tab') bitmap(file='pic0.png') op <- par(mfrow=c(2,2)) plot(x,type='l',xlab='time',ylab='value',main='d=0, D=0') plot(diff(x,lag=1,differences=1),type='l',xlab='time',ylab='value',main='d=1, D=0') plot(diff(x,lag=par1,differences=1),type='l',xlab='time',ylab='value',main='d=0, D=1') plot(diff(diff(x,lag=1,differences=1),lag=par1,differences=1),type='l',xlab='time',ylab='value',main='d=1, D=1') par(op) dev.off()
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