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English(EN) Poisson empirical Bayes estimation of sums of random variables via minimum-distance methods

新的统计方法改进了泊松混合模型的估计

研究人员开发了一种新的非参数经验贝叶斯方法,用于估计泊松混合模型中随机变量之和。该方法利用正则化和粗粒化最小距离估计来近似未知的混合分布,并提供大样本保证,确保所得估计量收敛于最优贝叶斯估计量。该方法包括对特定求和类型的有限样本分析,建立了最小最大遗憾界限,并在混合分布的各种假设下推导了所提出程序的上限。 AI

排序理由 详细介绍新统计方法的学术论文。[lever_c_demoted from research: ic=1 ai=0.1]

在 arXiv stat.ML 阅读 →

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新的统计方法改进了泊松混合模型的估计

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详细介绍新统计方法的学术论文。[lever_c_demoted from research: ic=1 ai=0.1]
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报道来源 [1]

  1. arXiv stat.ML TIER_1 English(EN) · Stefano Favaro, Sandra Fortini, Soham Jana ·

    通过最小距离法对随机变量之和进行泊松经验贝叶斯估计

    arXiv:2610.07190v1 Announce Type: cross Abstract: The estimation of sums of functions of observable and unobservable variables is a long-standing problem in statistics, with applications in many domains. We consider this problem in Poisson mixture models, where empirical Bayes pr…