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mev (version 2.1)

shape.rbm: Random block maxima shape estimator of Wager

Description

Computes the shape estimator for varying k up to sample size of maximum kmax largest observations

Usage

shape.rbm(xdat, k = 10:floor(length(xdat)/2), ...)

Value

a list with elements

k

number of exceedances

shape

tail index estimate, strictly positive

risk

empirical Bayes estimate of risk

thresh

threshold given by the smallest order statistic considered in the sample

Arguments

xdat

[vector] sample exceedances

k

[int] vector of integers for which to compute the estimator

...

additional parameters, currently ignored

References

Wager, S. (2014). Subsampling extremes: From block maxima to smooth tail estimation, Journal of Multivariate Analysis, 130, 335-353, tools:::Rd_expr_doi("10.1016/j.jmva.2014.06.010")