High-Dimensional Tail Index Regression

Yuya Sasaki; Jing Tao; Yulong Wang

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arXiv · 2403.01318

High-Dimensional Tail Index Regression

Yuya Sasaki·Jing Tao·Yulong Wang

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Abstract

Motivated by the empirical observation of power-law distributions in the credits (e.g., ``likes'') of viral posts in social media, we introduce a high-dimensional tail index regression model and propose methods for estimation and inference of its parameters. First, we propose a regularized estimator, establish its consistency, and derive its convergence rate. Second, we debias the regularized estimator to facilitate inference and prove its asymptotic normality. Simulation studies corroborate our theoretical findings. We apply these methods to the text analysis of viral posts on X (formerly Twitter).

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Yuya Sasaki, Jing Tao, Yulong Wang. 2024-03-02. High-Dimensional Tail Index Regression. https://arxiv.org/abs/2403.01318

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