Cramér–Rao bound

Summary

Cramér–Rao bound is an inequation^[1]. It draws 196 Wikipedia views per month (inequation category, ranking #2 of 14).^[2]

Key Facts

• Cramér–Rao bound is credited with the discovery of Harald Cramér^[3].
• Cramér–Rao bound is credited with the discovery of Calyampudi Radhakrishna Rao^[4].
• Cramér–Rao bound's instance of is recorded as inequation^[5].
• Cramér–Rao bound's instance of is recorded as theorem^[6].
• Harald Cramér is named after Cramér–Rao bound^[7].
• Calyampudi Radhakrishna Rao is named after Cramér–Rao bound^[8].
• Maurice René Fréchet is named after Cramér–Rao bound^[9].
• Cramér–Rao bound's Freebase ID is recorded as /m/02s51j^[10].
• Cramér–Rao bound's defining formula is recorded as \operatorname{var}(T) \geq \frac{[\psi'(\theta)]^2}{I(\theta)}^[11].
• Cramér–Rao bound's Great Russian Encyclopedia Online ID is recorded as 3493679^[12].
• Cramér–Rao bound's JSTOR topic ID is recorded as cramer-rao-bounds^[13].
• Cramér–Rao bound's maintained by WikiProject is recorded as WikiProject Mathematics^[14].
• Cramér–Rao bound's Microsoft Academic ID is recorded as 4978587^[15].
• Cramér–Rao bound's in defining formula is recorded as \operatorname{var}^[16].
• Cramér–Rao bound's in defining formula is recorded as I(\theta)^[17].
• Cramér–Rao bound's Scholarpedia article ID is recorded as Cramér-Rao_bound^[18].
• Cramér–Rao bound's OpenAlex ID is recorded as C4978587^[19].
• Cramér–Rao bound's Encyclopedia of China is recorded as 201088^[20].
• Cramér–Rao bound's Encyclopedia of China is recorded as 113889^[21].
• Cramér–Rao bound's Great Russian Encyclopedia portal ID is recorded as neravenstvo-rao-kramera-3dae3b^[22].

Body

Works and Contributions

Credited discoveries include Harald Cramér^[3], a mathematician^[23], 1893–1985^[24], of Sweden^[25], awarded the Fellow of the Institute of Mathematical Statistics^[26], specialised in probability theory^[27] and Calyampudi Radhakrishna Rao^[4], a mathematician^[28], 1920–2023^[29], of British Raj^[30], awarded the Fellow of the Royal Society^[31], specialised in mathematical statistics^[32].

Why It Matters

Cramér–Rao bound draws 196 Wikipedia views per month (inequation category, ranking #2 of 14).^[2] It has Wikipedia articles in 12 language editions, a strong signal of global cultural recognition.^[33] It is known by 32 alternative names across languages and contexts.^[34]