Chapman-Robbins bound

noun

A lower bound on the variance of estimators of a deterministic parameter; a generalization of the Cramér-Rao bound, it is both tighter and more widely applicable, but usually harder to compute.

Meanings

nounChapman-Robbins bound (plural Chapman-Robbins bounds)

plural Chapman-Robbins bounds

  1. mathematicsA lower bound on the variance of estimators of a deterministic parameter; a generalization of the Cramér-Rao bound, it is both tighter and more widely applicable, but usually harder to compute.

    Synonyms: Hammersley-Chapman-Robbins bound

Synonyms & antonyms

nounA lower bound on the variance of estimators of a deterministic parameter; a generalization of the Cramér-Rao bound, it is both tighter and more widely applicable, but usually harder to compute.

Origin

Named after Douglas Chapman and Herbert Robbins, who discovered it in 1951, independently of the original (1950) discovery by John Hammersley.

Full word history & related roots →
Cite this entry
APA

Chapman-Robbins bound. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Chapman-Robbins%20bound

MLA

“Chapman-Robbins bound.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Chapman-Robbins%20bound. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “Chapman-Robbins bound,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Chapman-Robbins%20bound.

Source: Chapman-Robbins bound on Wiktionary, CC BY-SA 4.0.