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On the M-Estimator under Third Moment Condition

On the M-Estimator under Third Moment Condition

Estimating the expected value of a random variable by data-driven methods is one of the most fundamental problems in statistics. In this study, we present an extension of Olivier Catoniā€™s classical M-estimators of the empirical mean, which focus on the heavy-tailed data by imposing more precise inequalities on exponential moments ā€¦