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- Steins_example abstract "Stein's example (or phenomenon or paradox), in decision theory and estimation theory, is the phenomenon 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. It is named after Charles Stein of Stanford University, who discovered the phenomenon in 1955.An intuitive explanation is that optimizing for the mean-squared error of a combined estimator is not the same as optimizing for the errors of separate estimators of the individual parameters. In practical terms, if the combined error is in fact of interest, then a combined estimator should be used, even if the underlying parameters are independent; this occurs in channel estimation in telecommunications, for instance (different factors affect overall channel performance). On the other hand, if one is instead interested in estimating an individual parameter, then using a combined estimator does not help and is in fact worse.".
- Steins_example wikiPageExternalLink 1200501656.
- Steins_example wikiPageExternalLink Article1977.pdf.
- Steins_example wikiPageID "1887212".
- Steins_example wikiPageLength "8733".
- Steins_example wikiPageOutDegree "27".
- Steins_example wikiPageRevisionID "666909197".
- Steins_example wikiPageWikiLink Admissible_decision_rule.
- Steins_example wikiPageWikiLink BLUE.
- Steins_example wikiPageWikiLink Category:Decision_theory.
- Steins_example wikiPageWikiLink Category:Mathematical_examples.
- Steins_example wikiPageWikiLink Category:Statistical_paradoxes.
- Steins_example wikiPageWikiLink Channel_estimation.
- Steins_example wikiPageWikiLink Channel_state_information.
- Steins_example wikiPageWikiLink Charles_M._Stein.
- Steins_example wikiPageWikiLink Charles_Stein_(statistician).
- Steins_example wikiPageWikiLink Decision_theory.
- Steins_example wikiPageWikiLink Dominating_decision_rule.
- Steins_example wikiPageWikiLink Equivariant_estimation.
- Steins_example wikiPageWikiLink Estimation_theory.
- Steins_example wikiPageWikiLink Estimator.
- Steins_example wikiPageWikiLink Gauss–Markov_theorem.
- Steins_example wikiPageWikiLink Independence_(probability_theory).
- Steins_example wikiPageWikiLink Invariant_estimator.
- Steins_example wikiPageWikiLink James–Stein_estimator.
- Steins_example wikiPageWikiLink Least_squares.
- Steins_example wikiPageWikiLink Loss_function.
- Steins_example wikiPageWikiLink Maximum_likelihood.
- Steins_example wikiPageWikiLink Maximum_likelihood_estimation.
- Steins_example wikiPageWikiLink Mean_squared_error.
- Steins_example wikiPageWikiLink Normal_distribution.
- Steins_example wikiPageWikiLink Proof_of_Steins_example.
- Steins_example wikiPageWikiLink Random_variable.
- Steins_example wikiPageWikiLink Risk_function.
- Steins_example wikiPageWikiLink Scientific_American.
- Steins_example wikiPageWikiLink Stanford_University.
- Steins_example wikiPageWikiLink Statistical_independence.
- Steins_example wikiPageWikiLink Strict.
- Steins_example wikiPageWikiLinkText "Stein's example".
- Steins_example wikiPageWikiLinkText "Stein's famous example".
- Steins_example wikiPageWikiLinkText "Stein's paradox".
- Steins_example wikiPageWikiLinkText "main article".
- Steins_example hasPhotoCollection Steins_example.
- Steins_example wikiPageUsesTemplate Template:Citation.
- Steins_example wikiPageUsesTemplate Template:Cite_conference.
- Steins_example wikiPageUsesTemplate Template:Reflist.
- Steins_example subject Category:Decision_theory.
- Steins_example subject Category:Mathematical_examples.
- Steins_example subject Category:Statistical_paradoxes.
- Steins_example hypernym Phenomenon.
- Steins_example type Disease.
- Steins_example comment "Stein's example (or phenomenon or paradox), in decision theory and estimation theory, is the phenomenon 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.".
- Steins_example label "Stein's example".
- Steins_example sameAs Paradosso_di_Stein.
- Steins_example sameAs m.063v66.
- Steins_example sameAs Q3895097.
- Steins_example sameAs Q3895097.
- Steins_example wasDerivedFrom Steins_exampleoldid=666909197.
- Steins_example isPrimaryTopicOf Steins_example.