pchisqsum_ssvd <-
function(x,M,n=100,p=10,q=0, method=c("saddlepoint","integration"),remainder="warn"){
method<-match.arg(method)
Q<-srfht(M,n+p,q=q)
B<-t(Q)%*%M%*%Q
ee<-eigen(B,symmetric=TRUE,only.values=TRUE)$values[1:n]
tr<-sum(diag(M))
tr2<-sum(M^2)
tr.small<-tr-sum(ee)
tr2.small<-tr2-sum(ee^2)
scale<-tr2.small/tr.small
nu<-(tr.small^2)/tr2.small
pchisqsum(x, c(rep(1,n),ceiling(nu)), c(ee, scale), method=method,lower.tail=FALSE,remainder=remainder)
}
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