# Deriving Lehmer and H"older means as maximum weighted likelihood estimates for the multivariate exponential family

arXiv: https://arxiv.org/abs/2405.00964 · HTML: https://mlsanity.com/paper/2405.00964/

## Key facts

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- First posted on arXiv 2 May 2024.

## Abstract (arXiv)

The links between the mean families of Lehmer and H"older and the weighted maximum likelihood estimator have recently been established in the case of a regular univariate exponential family. In this article, we will extend the outcomes obtained to the multivariate case. This extension provides a probabilistic interpretation of these families of means and could therefore broaden their uses in various applications.