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New stabilized higher-order estimator proposed for statistical theory

This paper introduces a new stabilized higher-order estimator for statistical functionals, aiming to improve upon existing methods that suffer from numerical instability or require complex density estimation. The proposed approach bypasses sample splitting and density estimation, offering more stable finite-sample performance while maintaining similar statistical guarantees. The work builds upon previous research in higher-order influence functions, which provide a unified framework for constructing rate-optimal point estimates. AI

IMPACT This research could lead to more stable and efficient statistical modeling techniques, potentially impacting AI development in areas requiring complex data analysis.

RANK_REASON The cluster contains an academic paper published on arXiv detailing a new statistical theory and estimator.

Read on arXiv stat.ML →

AI-generated summary · Google Gemini · from 3 sources. How we write summaries →

New stabilized higher-order estimator proposed for statistical theory

COVERAGE [3]

  1. arXiv stat.ML TIER_1 English(EN) · Na Liu, Chang Li, Yujia Gu, Lin Liu ·

    Stabilized Higher-Order Influence Functions: Statistical Theory of a Class of Bilinear Forms

    arXiv:2607.04743v1 Announce Type: cross Abstract: Higher-order influence functions, introduced in a series of articles (Robins et al., 2008, 2009a; van der Vaart, 2014; Robins et al., 2016, 2023; Liu et al., 2017), are a unified framework for constructing rate-optimal point estim…

  2. arXiv stat.ML TIER_1 English(EN) · Lin Liu ·

    Stabilized Higher-Order Influence Functions: Statistical Theory of a Class of Bilinear Forms

    Higher-order influence functions, introduced in a series of articles (Robins et al., 2008, 2009a; van der Vaart, 2014; Robins et al., 2016, 2023; Liu et al., 2017), are a unified framework for constructing rate-optimal point estimates of a class of statistical functionals, under …

  3. arXiv stat.ML TIER_1 English(EN) · Lin Liu ·

    Stabilized Higher-Order Influence Functions: Statistical Theory of a Class of Bilinear Forms

    Higher-order influence functions, introduced in a series of articles (Robins et al., 2008, 2009a; van der Vaart, 2014; Robins et al., 2016, 2023; Liu et al., 2017), are a unified framework for constructing rate-optimal point estimates of a class of statistical functionals under v…