smoothtail: Smooth Estimation of GPD Shape Parameter
Given independent and identically distributed observations
X(1), ..., X(n) from a Generalized Pareto distribution with
shape parameter gamma in [-1,0], this package offers several
estimates to compute estimates of gamma. The estimates are
based on the principle of replacing the order statistics by
quantiles of a distribution function based on a log–concave
density function. This procedure is justified by the fact that
the GPD density is log–concave for gamma in [-1,0].
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