create_lambda = function(sample_cov,
low_tri_size,
n,
alpha = 0.05) {
k = 1:low_tri_size
two_largest_prod = prod( -sort( -diag(sample_cov), partial = 2)[1:2])
fraction_seq = qt(1 - alpha * k / (2 * low_tri_size), n - 2) /
sqrt(n - 2 + qt(1 - alpha * k / (2 * low_tri_size), n - 2) ^2)
two_largest_prod * fraction_seq
}
prepare_lambda = function(lambda, low_tri_size) {
lambda = sort(lambda, decreasing = T)
if(length(lambda) < low_tri_size){
message("The lambda length is less than ncol(data) * (ncol(data)-1)/2.
Zeros will be added.")
lambda = c(lambda, rep(0, low_tri_size - length(lambda)))
}
else if(length(lambda) > low_tri_size) {
message("The lambda length is greater than ncol(data) * (ncol(data)-1)/2.
Lambda will be cut to the proper length.")
lambda = lambda[1:low_tri_size]
}
lambda
}
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