Definition of Estimators. Meaning of Estimators. Synonyms of Estimators

- sample mean is a commonly used estimator of the po****tion mean. There are point and interval estimators. The point estimators yield single-valued results...
- (notably in shrinkage estimators); or because in some cases being unbiased is too strong a condition, and the only unbiased estimators are not useful. Bias...
- estimator (in the class of unbiased estimators) if it reaches the lower bound in the Cramér–Rao inequality above, for all θ ∈ Θ. Efficient estimators...
- )} ****sky's theorem can be used to combine several different estimators, or an estimator with a non-random convergent sequence. If Tn →dα, and Sn →pβ...
- }}} . An estimator θ ^ {\displaystyle {\widehat {\theta }}} is said to be a Bayes estimator if it minimizes the Bayes risk among all estimators. Equivalently...
- be contrasted with a distribution estimator. Examples are given by confidence distributions, randomized estimators, and Bayesian posteriors. “Bias” is...
- {X}},} an estimator (estimation rule) δM{\displaystyle \delta ^{M}\,\!} is called minimax if its maximal risk is minimal among all estimators of θ{\displaystyle...
- estimators proposed by Beale (1962) and Quenouille (1956) and proposed a modified approach (now referred to as Tin's method). These ratio estimators are...
- In statistics, M-estimators are a broad class of extremum estimators for which the objective function is a sample average. Both non-linear least squares...
- dominating estimators were not actually exhibited. It is quite difficult to obtain explicit estimators improving upon the usual estimator without specific...