Deriving Lehmer and H\"older means as maximum weighted likelihood estimates for the multivariate exponential family
<|reference_start|>Deriving Lehmer and H\"older means as maximum weighted likelihood estimates for the multivariate exponential family: 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.<|reference_end|>
@article{ziou2024deriving,
    title={Deriving Lehmer and H\"older means as maximum weighted likelihood
  estimates for the multivariate exponential family},
    author={Djemel Ziou and Issam Fakir},
    journal={arXiv preprint arXiv:2405.00964},
    year={2024},
    archivePrefix={arXiv},
    eprint={2405.00964},
    primaryClass={math.ST cs.LG stat.TH}
}