A quantile estimation for massive data with generalized Pareto distribution

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Summary

The parameter estimation method has a smaller Mean square error (MSE) than other common methods when the shape parameter of GPD is at least 0.5 and shows the best performance in terms of root MSE (RMSE) and absolute relative bias (ARB) for heavy-tailed distributions.

Type
article
Published
2012-01-01
Cited by
38
References
23

Keywords

Quantile, Generalized Pareto distribution, Mathematics, Statistics, Mean squared error

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