Chebyshev's Sum Inequality/Also known as
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Chebyshev's Sum Inequality: Also known as
Chebyshev's Sum Inequality is also known as Chebyshev's Inequality.
However, some sources use this name to mean the Bienaymé-Chebyshev Inequality, which is a completely different result.
Hence, to avoid confusion, the name Chebyshev's Inequality is not used on $\mathsf{Pr} \infty \mathsf{fWiki}$.
Sources
- 1964: Milton Abramowitz and Irene A. Stegun: Handbook of Mathematical Functions ... (previous) ... (next): $3$: Elementary Analytic Methods: $3.2$ Inequalities: Chebyshev's Inequality: $3.2.7$
- 1968: Murray R. Spiegel: Mathematical Handbook of Formulas and Tables ... (previous) ... (next): $\S 36$: Inequalities: Chebyshev's Inequality
- 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics ... (previous) ... (next): Chebyshev's inequality: 2.