Fits a Generalized Pareto Distribution to extreme tail events using the Peaks Over Threshold (POT) method. GPD is specifically designed to model the tail of a distribution and estimate extreme quantiles beyond observed data. Critical for estimating tail VaR, stress losses, and operational risk capital under Basel III.
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Loss or return data for tail analysis
100[-0.01, -0.05, -0.03, -0.08]Threshold value for defining extreme events (auto-selected if not provided)
-0.04
Quantile level for threshold selection if threshold not provided
0.95
Fitting method for GPD parameters
mle, pwm "mle"