L-Estimation of the Enriched Truncated Exponentiated Generalized Family of Distributions

Statistical modeling of claim severity distributions is central to actuarial science and risk management, where parameter estimation must balance efficiency and robustness. Maximum likelihood estimation (MLE) is asymptotically efficient under correct model specification but sensitive to extreme observations and perturbations from the assumed distributional form. Robust L-estimators, including the method of trimmed moments (MTM) and the method of winsorized moments (MWM), provide alternatives bas