best estimator

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• Estimator — In statistics, an estimator is a function of the observable sample data that is used to estimate an unknown population parameter (which is called the estimand ); an estimate is the result from the actual application of the function to a… …   Wikipedia

• Invariant estimator — In statistics, the concept of being an invariant estimator is a criterion that can be used to compare the properties of different estimators for the same quantity. It is a way of formalising the idea that an estimator should have certain… …   Wikipedia

• Minimax estimator — In statistical decision theory, where we are faced with the problem of estimating a deterministic parameter (vector) from observations an estimator (estimation rule) is called minimax if its maximal risk is minimal among all estimators of . In a… …   Wikipedia

• James-Stein estimator — The James Stein estimator is a nonlinear estimator which can be shown to dominate, or outperform, the ordinary (least squares) technique. As such, it is the best known example of Stein s phenomenon.An earlier version of the estimator was… …   Wikipedia

• Minimum-variance unbiased estimator — In statistics a uniformly minimum variance unbiased estimator or minimum variance unbiased estimator (UMVUE or MVUE) is an unbiased estimator that has lower variance than any other unbiased estimator for all possible values of the parameter. The… …   Wikipedia

• Linear least squares (mathematics) — This article is about the mathematics that underlie curve fitting using linear least squares. For statistical regression analysis using least squares, see linear regression. For linear regression on a single variable, see simple linear regression …   Wikipedia

• Sufficient statistic — In statistics, a sufficient statistic is a statistic which has the property of sufficiency with respect to a statistical model and its associated unknown parameter, meaning that no other statistic which can be calculated from the same sample… …   Wikipedia

• Normal distribution — This article is about the univariate normal distribution. For normally distributed vectors, see Multivariate normal distribution. Probability density function The red line is the standard normal distribution Cumulative distribution function …   Wikipedia

• Checking whether a coin is fair — In statistics, the question of checking whether a coin is fair is one whose importance lies, firstly, in providing a simple problem on which to illustrate basic ideas of statistical inference and, secondly, in providing a simple problem that can… …   Wikipedia

• Sufficiency (statistics) — In statistics, sufficiency is the property possessed by a statistic, with respect to a parameter, when no other statistic which can be calculated from the same sample provides any additional information as to the value of the parameter cite… …   Wikipedia

• Value at risk — (VaR) is a maximum tolerable loss that could occur with a given probability within a given period of time. VaR is a widely applied concept to measure and manage many types of risk, although it is most commonly used to measure and manage the… …   Wikipedia