Stein's example

proper noun

The observation that, when three or more parameters are estimated simultaneously, there exist combined estimators more accurate on average (that is, having lower expected mean squared error) than any method that handles the parameters separately.

Meanings

proper noun
  1. decision theory; estimation theory; decision theory; estimation theoryThe observation that, when three or more parameters are estimated simultaneously, there exist combined estimators more accurate on average (that is, having lower expected mean squared error) than any method that handles the parameters separately.

    Synonyms: Stein's paradox, Stein's phenomenon

Synonyms & antonyms

proper nounThe observation that, when three or more parameters are estimated simultaneously, there exist combined estimators more accurate on average (that is, having lower expected mean squared error) than any method that handles the parameters separately.

Origin

Named after Charles Stein of Stanford University, who discovered the phenomenon in 1955.

Full word history & related roots →
Cite this entry
APA

Stein's example. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/Stein's%20example

MLA

“Stein's example.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Stein's%20example. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “Stein's example,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/Stein's%20example.

Source: Stein's example on Wiktionary, CC BY-SA 4.0.