Nothing
splitloopboot <-
function(j=NULL,pred.x,pred.y,xresid,yresid,ti,obs,n,m,extended.classical,cbb,joint,period){
if (is.numeric(cbb)==TRUE) {
index <- sample(1:(obs+3),3,replace=FALSE)
xresid2 <- c(xresid,xresid)
yresid2 <- c(yresid,yresid)
k <- obs/cbb
xblocks <- sample(1:(obs+3),k,replace=TRUE)
if (joint==FALSE) yblocks <- sample(1:(obs+3),k,replace=TRUE)
else yblocks <- xblocks
xressamp <- c(t(outer(xblocks,0:(cbb-1),FUN="+")))
yressamp <- c(t(outer(yblocks,0:(cbb-1),FUN="+")))
y<-yresid2[yressamp]+pred.y[-index]
x<-xresid2[xressamp]+pred.x[-index]
}
else {
index <- sample(1:(obs+3),3,replace=FALSE)
if (joint==FALSE) {
y<-sample(yresid,obs,replace=T)+pred.y[-index]
x<-sample(xresid,obs,replace=T)+pred.x[-index]
}
else {
resid.sampler <- sample(1:(obs+3),obs,replace=TRUE)
y<-yresid[resid.sampler]+pred.y[-index]
x<-xresid[resid.sampler]+pred.x[-index]
}
}
Ta.lm<-lm.fit(cbind(rep(1,obs),sin(ti[-index]),cos(ti[-index])),x)
b.x<-sqrt(coef(Ta.lm)[[2]]^2+coef(Ta.lm)[[3]]^2)
phase.angle<- atan2(coef(Ta.lm)[[3]],coef(Ta.lm)[[2]])-pi/2
t2 <- ti[-index] + phase.angle
cx<-coef(Ta.lm)[[1]]
costp <- cos(t2)
Ind <- (t2 < pi) & (t2 > 0)
if (extended.classical==FALSE) maty <- cbind(rep(1,length(t2)),sin(t2)^m,costp^n,Ind*sin(t2)^m)
if (extended.classical==TRUE) {
direc <- sign(costp)
maty <- cbind(rep(1,length(t2)),sin(t2)^m,direc*abs(costp)^n,Ind*sin(t2)^m)
}
yfit <- lm.fit(maty,y)
cy <- as.vector(coef(yfit)[1])
retention.below <- abs(as.vector(coef(yfit)[2]))
retention.above <- abs(as.vector(coef(yfit)[2])+as.vector(coef(yfit)[4]))
b.y <- as.vector(coef(yfit)[3])
if (n==1) beta.split.angle<-atan2(b.y,b.x)*180/pi
else if (n >= 2) beta.split.angle <- 0
else beta.split.angle<-NA
hysteresis.x.above <- 1/sqrt(1+(b.y/retention.above)^(2/m))
hysteresis.x.below <- 1/sqrt(1+(b.y/retention.below)^(2/m))
coercion.above <- hysteresis.x.above*b.x
coercion.below <- hysteresis.x.below*b.x
hysteresis.y.above <- retention.above/b.y
hysteresis.y.below <- retention.below/b.y
area <- (0.5/(beta((m+3)/2,(m+3)/2)*(m+2))+1/beta((m+1)/2,(m+1)/2)-1/beta((m+3)/2,(m-1)/2))/(2^m)*pi*abs((retention.above+retention.below)*b.x)/2
lag.above<-abs(atan2(retention.above,b.y))*period/(pi*2)
lag.below<-abs(atan2(retention.below,b.y))*period/(pi*2)
z <- c("n"=n, "m"=m,"b.x"=b.x,"b.y"=b.y,"phase.angle"=as.vector(phase.angle),"cx"=cx,"cy"=cy,"retention.above"=retention.above,
"retention.below"=retention.below, "coercion.above"=coercion.above,"coercion.below"=coercion.below,"area"=area, "lag.above"=lag.above,"lag.below"=lag.below,"beta.split.angle"=beta.split.angle,
"hysteresis.x.above"=hysteresis.x.above,"hysteresis.x.below"=hysteresis.x.below, "hysteresis.y.above"=hysteresis.y.above,"hysteresis.y.below"=hysteresis.y.below)
z
}
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