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mev (version 2.1)

shape.vries: de Vries shape estimator

Description

Given a sample of exceedances, compute the moment estimator of the positive shape parameter using the ratio of log ratio of exceedance and it's square.

Usage

shape.vries(xdat, k)

Value

a data frame with the number of order statistics k and the shape parameter estimate shape, or a single numeric value if k is a scalar.

Arguments

xdat

vector of positive observations of length \(n\)

k

number of largest order statistics

References

de Haan, L. and Peng, L. (1998). Comparison of tail index estimators, Statistica Neerlandica 52, 60-70.

de Haan, L. and Peng, L. (1998). Comparison of tail index estimators. Statistica Neerlandica, 52: 60-70. tools:::Rd_expr_doi("10.1111/1467-9574.00068")