Given a random sample of n exceedances, the estimator
returns an estimator of the shape parameter or extreme
value index using a kernel of order 3, based on
k largest exceedances of xdat. Note that the method does not allow for ties.
Usage
shape.osz(xdat, k, ...)
Arguments
xdat
vector of observations of length \(n\)
k
number of largest order statistics \(3 \leq k < n\).
...
additional arguments for backward compatibility
Details
The calculations are based on the recursions provided in Lemma 4.3 of Oorschot et al.
References
Oorschot, J, J. Segers and C. Zhou (2023), Tail inference using extreme U-statistics, Electronic Journal of Statistics 17(1): 1113-1159. tools:::Rd_expr_doi("10.1214/23-EJS2129")