Questions tagged [m-estimation]

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Empirical median is a M-estimator

I am trying to show that the median is a M-estimator, and the definition is $t$ is an M-estimator if there exist a function $\psi$ such that $$ t=\arg\min_s\mathbb{E}(\psi(s,X))\qquad(1)$$ so for empirical median it is known that $\psi(s,X)=|X-s|$…
Don P.
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