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Data:
67 72 74 62 56 66 65 59 61 69 74 69 66 68 58 64 66 57 68 62 59 73 61 61 57 58 57 67 81 79 76 78 74 67 84 85 79 82 87 90 87 93 92 82 80 79 77 72 65 73 76 77 76 76 76 75 78 73 80 77 83 84 85 81 84 83 83 88 92 92 89 82 73 81 91 80 81 82 84 87 85 74 81 82 86 85 82 86 88 86 83 81 81 81 82 86 85 87 89 90 90 92 86 86 82 80 79 77 79 76 78 78 77 72 75 79 81 86 88 97 94 96 94 91 92 93 93 87 84 80 78 75 73 81 76 77 71 71 78 67 76 68 82 64 71 81 69 63 70 77 75 76 68
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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