Last Updated :2025/12/05

Cramér-Rao bound

Noun
Japanese Meaning
クラメル・ラオの下限 / 統計学・推定理論において、不偏推定量(未知のパラメータを推定する際のバイアスのない推定値)が持つ分散の下限値 / 不偏推定量の分散に対する理論上の最低限の値を示す境界
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パラメータの不偏推定量を設計する際には、その分散を不偏推定量の分散に対する下限と比較して、理論的最適にどれだけ近いかを判断すべきだ。

plural

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(estimation theory, statistics) A lower bound on the variance of unbiased estimators of a deterministic (fixed, though unknown) parameter.

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Cramér-Rao bound

When designing an unbiased estimator for a parameter, you should compare its variance to the Cramér-Rao bound to determine how close it is to the theoretical optimum.

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When designing an unbiased estimator for a parameter, you should compare its variance to the Cramér-Rao bound to determine how close it is to the theoretical optimum.

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