biased 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

• Bias of an estimator — In statistics, the difference between an estimator s expected value and the true value of the parameter being estimated is called the bias. An estimator or decision rule having nonzero bias is said to be biased.Although the term bias sounds… …   Wikipedia

• Consistent estimator — {T1, T2, T3, …} is a sequence of estimators for parameter θ0, the true value of which is 4. This sequence is consistent: the estimators are getting more and more concentrated near the true value θ0; at the same time, these estimators are biased.… …   Wikipedia

• Watterson estimator — In population genetics, the Watterson estimator is a method for estimating the population mutation rate, heta = 4N emu, where N e is the effective population size and mu is the per generation mutation rate of the population of interest… …   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

• M-estimator — In statistics, M estimators are a broad class of statistics which are obtained as the solution to the problem of minimizing certain functions of the data. The process of obtaining an M estimator is called M estimation.Some authors define M… …   Wikipedia

• Importance sampling — In statistics, importance sampling is a general technique for estimating the properties of a particular distribution, while only having samples generated from a different distribution rather than the distribution of interest. Depending on the… …   Wikipedia

• Cramér–Rao bound — In estimation theory and statistics, the Cramér–Rao bound (CRB) or Cramér–Rao lower bound (CRLB), named in honor of Harald Cramér and Calyampudi Radhakrishna Rao who were among the first to derive it,[1][2][3] expresses a lower bound on the… …   Wikipedia

• Mean squared error — In statistics, the mean squared error (MSE) of an estimator is one of many ways to quantify the difference between values implied by a kernel density estimator and the true values of the quantity being estimated. MSE is a risk function,… …   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

• German tank problem — During World War II, production of German tanks such as the Panther was accurately estimated by Allied intelligence using statistical methods. In the statistical theory of estimation, estimating the maximum of a uniform distribution is a common… …   Wikipedia