Translation of Bienayme-Chebyshev inequality in English

Bienayme-Chebyshev inequality Translation

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Bienayme-Chebyshev inequality in English
In probability theory, Chebyshev's inequality (also spelled as Tchebysheff's inequality, ) guarantees that in any probability distribution, "nearly all" values are close to the mean — the precise statement being that no more than 1/k2 of the distribution's values can be more than k standard deviations away from the mean (or equivalently, at least 1-1/k2 of the distribution's values are within k standard deviations of the mean). The rule is often called Chebyshev's theorem, about the range of standard deviations around the mean, in statistics. The inequality has great utility because it can be applied to completely arbitrary distributions (unknown except for mean and variance). For example, it can be used to prove the weak law of large numbers.

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Copyright: © This article uses material from Wikipedia® and is licensed under the GNU Free Documentation License and under the Creative Commons Attribution-ShareAlike License Dictionary source: Wikipedia English - The Free Encyclopedia
More: English to English translation of Bienayme-Chebyshev inequality
Bienayme-Chebyshev inequality in Persian
نابرابري بي‌اَن‌اِمه-چبيشف

Dictionary source: English Persian Maths Dictionary (MRM)
More: English to Persian translation of Bienayme-Chebyshev inequality