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This tag is too general; please provide a more specific tag. For questions about the properties of specific estimators, use [estimators] tag instead.

8 votes
3 answers
110 views

Name of mean- or median-like values?

Consider the data points $x_i \in \mathbb R$ for $i=1,\ldots,n$ as well as following definition: $$\hat x_c := \underset{{r\in \mathbb R}}{\operatorname{argmin}}\sum_i \vert r - x_i \vert^c $$ This de …
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1 vote

Name of mean- or median-like values?

This is only a partial answer for $c \in (0,1]$: A Fréchet mean has the form $$\Psi(x) = \operatorname{argmin}_r \sum_i d(r, x_i)$$ where $(M,d)$ is a metric space and $x \in M^k$ and $d$ is a metric. …
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