Concentration inequality and the weak law of large numbers for the sum of partly negatively dependent φ-subgaussian random variables

Yuta Tanoue

Statistics & Probability Letters, 2024, vol. 206, issue C

Abstract: We obtained the inequality of the φ-subgaussian standard, concentration inequality for the sum, and weak law of large numbers for partly negatively dependent φ-subgaussian random variables. Furthermore, results for m-acceptable φ-subgaussian random variables were obtained.

Keywords: φ-subgaussian random variable; Acceptable; Concentration inequality; Weak law of large numbers (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1016/j.spl.2023.109979

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