Chebyshev's inequality

Summary

Chebyshev's inequality is a concentration inequality^[1]. It draws 564 Wikipedia views per month (concentration_inequality category, ranking #1 of 3).^[2]

Key Facts

• Chebyshev's inequality is credited with the discovery of Pafnuty Chebyshev^[3].
• Chebyshev's inequality's instance of is recorded as concentration inequality^[4].
• Chebyshev's inequality's instance of is recorded as theorem^[5].
• Pafnuty Chebyshev is named after Chebyshev's inequality^[6].
• Irénée-Jules Bienaymé is named after Chebyshev's inequality^[7].
• Chebyshev's inequality's Commons category is recorded as Chebyshev's inequality^[8].
• Chebyshev's inequality's said to be the same as is recorded as Chebyshev-Bienayme inequality^[9].
• Chebyshev's inequality's Freebase ID is recorded as /m/014jzr^[10].
• Chebyshev's inequality's National Library of Latvia ID is recorded as 000327250^[11].
• Chebyshev's inequality's Encyclopædia Britannica Online ID is recorded as topic/Chebyshevs-inequality^[12].
• Chebyshev's inequality's different from is recorded as Chebyshev-Bienayme inequality^[13].
• Chebyshev's inequality's defining formula is recorded as \Pr(|X-\operatorname{E}[X]| \geq a) \leq \frac{\operatorname{Var}[X]}{a^2}^[14].
• Chebyshev's inequality's studied by is recorded as probability theory^[15].
• Chebyshev's inequality's MathWorld ID is recorded as ChebyshevInequality^[16].
• Chebyshev's inequality's Great Russian Encyclopedia Online ID is recorded as 4681045^[17].
• Chebyshev's inequality's Brockhaus Enzyklopädie online ID is recorded as tschebyschew-ungleichung-arithmetik^[18].
• Chebyshev's inequality's maintained by WikiProject is recorded as WikiProject Mathematics^[19].
• Chebyshev's inequality's Microsoft Academic ID is recorded as 71564387^[20].
• Chebyshev's inequality's Lex ID is recorded as Tjebysjovs_ulighed^[21].
• Chebyshev's inequality's Treccani's Enciclopedia della Matematica ID is recorded as disuguaglianza-di-bienayme-cebysev^[22].
• Chebyshev's inequality's OpenAlex ID is recorded as C71564387^[23].
• Chebyshev's inequality's ScienceDirect topic ID is recorded as mathematics/chebyshev-inequality^[24].
• Chebyshev's inequality's ScienceDirect topic ID is recorded as engineering/chebyshev-inequality^[25].
• Chebyshev's inequality's Great Russian Encyclopedia portal ID is recorded as neravenstvo-chebyshiova-b1f0d6^[26].

Body

Works and Contributions

Chebyshev's inequality is credited with the discovery of Pafnuty Chebyshev^[3].

Why It Matters

Chebyshev's inequality draws 564 Wikipedia views per month (concentration_inequality category, ranking #1 of 3).^[2] It has Wikipedia articles in 23 language editions, a strong signal of global cultural recognition.^[27] It is known by 4 alternative names across languages and contexts.^[28]