Chebyshev's inequality

Summary

Chebyshev's inequality is a concentration inequality^[1]. It has Wikipedia articles in 23 language editions, a strong signal of global cultural recognition.^[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 different from is recorded as Chebyshev-Bienayme inequality^[10].
• Chebyshev's inequality's studied by is recorded as probability theory^[11].
• Chebyshev's inequality's maintained by WikiProject is recorded as WikiProject Mathematics^[12].

Body

Definition and Type

Recorded instance of include concentration inequality^[4] and theorem^[5].

Origins

Things named after include Pafnuty Chebyshev^[6], a mathematician^[13], 1821–1894^[14], of Russian Empire^[15], awarded the Order of Saint Anna, 1st class^[16], specialised in probability theory^[17] and Irénée-Jules Bienaymé^[7], a statistician^[18], 1796–1878^[19], of France^[20], awarded the Officer of the Legion of Honour^[21], specialised in statistics^[22].

Why It Matters

Chebyshev's inequality has Wikipedia articles in 23 language editions, a strong signal of global cultural recognition.^[2] It is known by 4 alternative names across languages and contexts.^[23]