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- Consistent_estimator abstract "In statistics, a consistent estimator or asymptotically consistent estimator is an estimator—a rule for computing estimates of a parameter θ0—having the property that as the number of data points used increases indefinitely, the resulting sequence of estimates converges in probability to θ0. This means that the distributions of the estimates become more and more concentrated near the true value of the parameter being estimated, so that the probability of the estimator being arbitrarily close to θ0 converges to one.In practice one constructs an estimator as a function of an available sample of size n, and then imagines being able to keep collecting data and expanding the sample ad infinitum. In this way one would obtain a sequence of estimates indexed by n, and consistency is a property of what occurs as the sample size “grows to infinity”. If the sequence of estimates can be mathematically shown to converge in probability to the true value θ0, it is called a consistent estimator; otherwise the estimator is said to be inconsistent.Consistency as defined here is sometimes referred to as weak consistency. When we replace convergence in probability with almost sure convergence, then the estimator is said to be strongly consistent. Consistency is related to bias in that consistent estimators are convergent and asymptotically unbiased (hence converge to the correct value), though individual estimators in a consistent sequence may be biased, so long as the bias converges to zero; see bias versus consistency.".
- Consistent_estimator thumbnail Consistency_of_estimator.svg?width=300.
- Consistent_estimator wikiPageID "1497569".
- Consistent_estimator wikiPageRevisionID "596721674".
- Consistent_estimator first "M.S.".
- Consistent_estimator hasPhotoCollection Consistent_estimator.
- Consistent_estimator id "C/c025240".
- Consistent_estimator last "Nikulin".
- Consistent_estimator title "Consistent estimator".
- Consistent_estimator subject Category:Asymptotic_statistical_theory.
- Consistent_estimator subject Category:Estimation_theory.
- Consistent_estimator subject Category:Statistical_inference.
- Consistent_estimator subject Category:Statistical_theory.
- Consistent_estimator comment "In statistics, a consistent estimator or asymptotically consistent estimator is an estimator—a rule for computing estimates of a parameter θ0—having the property that as the number of data points used increases indefinitely, the resulting sequence of estimates converges in probability to θ0.".
- Consistent_estimator label "Consistencia (estadística)".
- Consistent_estimator label "Consistent estimator".
- Consistent_estimator label "Consistenza (statistica)".
- Consistent_estimator label "Konsistenz (Statistik)".
- Consistent_estimator label "Состоятельная оценка".
- Consistent_estimator sameAs Konsistenz_(Statistik).
- Consistent_estimator sameAs Consistencia_(estadística).
- Consistent_estimator sameAs Consistenza_(statistica).
- Consistent_estimator sameAs m.0jt60zw.
- Consistent_estimator sameAs Q1782585.
- Consistent_estimator sameAs Q1782585.
- Consistent_estimator wasDerivedFrom Consistent_estimator?oldid=596721674.
- Consistent_estimator depiction Consistency_of_estimator.svg.
- Consistent_estimator isPrimaryTopicOf Consistent_estimator.
