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Unifies various statistical inequalities using Horvath's classical inequality in inner product spaces, suggesting broader applications.
This paper shows how a classical inequality in inner product spaces for any orthogonal projection by Horvath [1, Infinite Dimensional Analysis, Quantum Probability and Related Topics 21 (2018), 1850016] can serve as a unified tool to derive recent statistical inequalities from Scarlatti [3, Statistical Papers 65 (2024), 5931-5940] and Lupu and Tanase [2, Statistics and Probability Letters (2026) 234 110695].
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Mokhtarpour et al. (2026) studied this question.
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