Footnote:
Nach Informationen von SSRN wurde die ursprüngliche Fassung des Dokuments December 14, 2022 erstellt
Description:
Generalizing the Weak Law of Large Numbers for the sample mean, we present necessary and sufficient conditions for convergence in probability of a sample expectile to a limiting sequence or to a constant. Convergence (in probability) of expectile functions to a limiting sequence is uniform whenever it occurs. And, though the mean or another expectile may converge to a constant in special cases where the distribution lacks a finite first moment, it is impossible for any two or more distinct expectiles to converge to constants unless a finite first moment exists. In that case, the Strong Law applies and convergence will be almost sure