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Unconditional GPD MLEs and their train-validation likelihoods

Usage

unconditional_train_valid_GPD_loss(Y_train, interm_lvl, Y_valid)

Arguments

Y_train

Vector of "training" observations on which to estimate the MLEs.

interm_lvl

Probability level at which the empirical quantile should be used as the threshold.

Y_valid

Vector of "validation" observations, on which to estimate the out of training sample GPD loss.

Value

Named list containing:

  • scaleGPD scale MLE inferred from the train set,

  • shapeGPD shape MLE inferred from the train set,

  • train_lossthe negative log-likelihoods of the MLEs over the training samples,

  • valid_lossthe negative log-likelihoods of the MLEs over the validation samples.