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stat.ME2025
Interpolated Quantile Estimation: A Unified Framework Bridging Quantiles and the Mean
Saïd Maanan, Azzouz Dermoune, Ahmed El Ghini
This paper develops and analyzes three families of estimators that continuously interpolate between classical quantiles and the sample mean. The construction begins with a smoothed…
stat.ME2025
Smoothed Quantile Estimation via Interpolation to the Mean
Saïd Maanan, Azzouz Dermoune, Ahmed El Ghini
This paper introduces a unified family of smoothed quantile estimators that continuously interpolate between classical empirical quantiles and the sample mean. The estimators q(z,…