Bhatia-Davis inequality

Proper noun

(mathematics) An upper bound on the variance of any bounded probability distribution on the real line.

Japanese Meaning

数学において、実数上の有界な確率分布の分散に対する上限を示す不等式

What is this buttons?

In our probability seminar, we used the Bhatia-Davis inequality to show that measurements bounded between 0 and 1 cannot have variance exceeding a certain value determined by their mean.

Google Translation / DeepL Translation

確率論のゼミでは、実数直線上の任意の有界確率分布の分散に対する上界を用いて、0から1の範囲にある測定値の分散が平均によって決まるある値を超え得ないことを示した。

Details

Sense（1）

(mathematics) An upper bound on the variance of any bounded probability distribution on the real line.

the Bhatia-Davis inequality

（ canonical ）

Details

Bhatia-Davis inequality

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