arXiv Open Access 2023

A sharper bound of the Hotelling-Solomons inequality

Yuzo Maruyama

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Abstrak

The original Hotelling-Solomons inequality indicates that an upper bound of |mean - median|/(standard deviation) is 1. In this note, we find a new bound depending on the sample size, which is strictly smaller than 1.

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math.ST

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Yuzo Maruyama

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Maruyama, Y. (2023). A sharper bound of the Hotelling-Solomons inequality. https://arxiv.org/abs/2310.10303

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Informasi Jurnal

Tahun Terbit: 2023
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓