Resumen Para variables aleatorias con una densidad de Legesgue unimodal, la regla de 3sigma se prueba mediante cálculo elemental. Surge como un caso especial de la desigualdad de Vysochanskiĭ-Petunin, que a su vez se basa en la desigualdad de Gauss.

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Cite This Study

Friedrich Pukelsheim (Sun,) estudió esta cuestión.

synapsesocial.com/papers/69d7d830ec32c73b01ae2f81 https://doi.org/https://doi.org/10.1080/00031305.1994.10476030

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Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1An extremal problem in mathematical statistics1953 · 5 citations
2A new generalization of Tchebycheff’s statistical inequality1922 · 28 citations
3ON FURTHER INEQUALITIES WITH POSSIBLE APPLICATION TO PROBLEMS IN THE THEORY OF PROBABILITY1923 · 16 citations
4Theory of Probability and Mathematical Statistics2026 · 226 citations
5Note on Professor Narumi's Paper1923 · 2 citations