PMF.of.Lhat <- function(list.of.probabilities,bag) {
fourier.transform <- 1
for (i in 1:length(bag$weights)) {
fourier.transform <- fourier.transform*
(apply(list.of.probabilities[[i]]*bag$fourier.coefs[[i]],2,sum))^bag$samplesizes[i]
}
probs <- Re(fft(fourier.transform,inverse=T)/bag$support.length)
probs[1:bag$support.length]
}
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