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Point estimation information


In statistics, point estimation involves the use of sample data to calculate a single value (known as a point estimate since it identifies a point in some parameter space) which is to serve as a "best guess" or "best estimate" of an unknown population parameter (for example, the population mean). More formally, it is the application of a point estimator to the data to obtain a point estimate.

Point estimation can be contrasted with interval estimation: such interval estimates are typically either confidence intervals, in the case of frequentist inference, or credible intervals, in the case of Bayesian inference. More generally, a point estimator can be contrasted with a set estimator. Examples are given by confidence sets or credible sets. A point estimator can also be contrasted with a distribution estimator. Examples are given by confidence distributions, randomized estimators, and Bayesian posteriors.

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Point estimation

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statistics, point estimation involves the use of sample data to calculate a single value (known as a point estimate since it identifies a point in some parameter...

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Estimation

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Estimation (or estimating) is the process of finding an estimate or approximation, which is a value that is usable for some purpose even if input data...

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Maximum a posteriori estimation

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a point estimate of an unobserved quantity on the basis of empirical data. It is closely related to the method of maximum likelihood (ML) estimation, but...

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Estimation theory

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Estimation theory is a branch of statistics that deals with estimating the values of parameters based on measured empirical data that has a random component...

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Empirical Bayes method

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variety of statistical estimation problems, such as accident rates and clinical trials.[citation needed] We simply seek a point prediction of θ i {\displaystyle...

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Interval estimation

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estimation is the use of sample data to estimate an interval of possible values of a parameter of interest. This is in contrast to point estimation,...

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Median

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as well as the linear time requirement, can be prohibitive, several estimation procedures for the median have been developed. A simple one is the median...

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Standard error

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equation of the correction factor for small samples of n < 20. See unbiased estimation of standard deviation for further discussion. The standard error on the...

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Estimation statistics

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is. Estimation statistics is sometimes referred to as the new statistics. The primary aim of estimation methods is to report an effect size (a point estimate)...

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Density estimation

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In statistics, probability density estimation or simply density estimation is the construction of an estimate, based on observed data, of an unobservable...

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Maximum likelihood estimation

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In statistics, maximum likelihood estimation (MLE) is a method of estimating the parameters of an assumed probability distribution, given some observed...

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Regression analysis

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of the dependent variable, y i {\displaystyle y_{i}} . One method of estimation is ordinary least squares. This method obtains parameter estimates that...

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Parametric statistics

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Point estimation Estimating equations Maximum likelihood Method of moments M-estimator Minimum distance Unbiased estimators Mean-unbiased minimum-variance...

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Bias of an estimator

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population; because an estimator is difficult to compute (as in unbiased estimation of standard deviation); because a biased estimator may be unbiased with...

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Root mean square deviation

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the calculations are performed over the data sample that was used for estimation (and are therefore always in reference to an estimate) and are called...

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Mean squared prediction error

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MSPE out of sample (i.e., not using data that were used in the model estimation process). Since the regression process is tailored to the q in-sample...

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Unbiased estimation of standard deviation

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In statistics and in particular statistical theory, unbiased estimation of a standard deviation is the calculation from a statistical sample of an estimated...

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Statistical significance

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table, or in some other way. Mathematics portal A/B testing, ABX test Estimation statistics Fisher's method for combining independent tests of significance...

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Kernel density estimation

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In statistics, kernel density estimation (KDE) is the application of kernel smoothing for probability density estimation, i.e., a non-parametric method...

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Mean absolute scaled error

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In statistics, the mean absolute scaled error (MASE) is a measure of the accuracy of forecasts. It is the mean absolute error of the forecast values, divided...

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Akaike information criterion

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interval estimation. Point estimation can be done within the AIC paradigm: it is provided by maximum likelihood estimation. Interval estimation can also...

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Mean squared error

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error (MSE) ... Lehmann, E. L.; Casella, George (1998). Theory of Point Estimation (2nd ed.). New York: Springer. ISBN 978-0-387-98502-2. MR 1639875....

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Percentile

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Retrieved 2013-03-25. Schoonjans F, De Bacquer D, Schmid P (2011). "Estimation of population percentiles". Epidemiology. 22 (5): 750–751. doi:10.1097/EDE...

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Robust statistics

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other small departures from model assumptions. In statistics, classical estimation methods rely heavily on assumptions that are often not met in practice...

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Mean integrated squared error

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statistics, the mean integrated squared error (MISE) is used in density estimation. The MISE of an estimate of an unknown probability density is given by...

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Mean absolute error

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simply the average absolute vertical or horizontal distance between each point in a scatter plot and the Y=X line. In other words, MAE is the average absolute...

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Power of a test

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to be less than a given value. Many statistical analyses involve the estimation of several unknown quantities. In simple cases, all but one of these quantities...

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Confidence interval

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particular way of finding a point estimate of the quantity being considered. This is closely related to the method of moments for estimation. A simple example arises...

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Linear regression

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regression or lasso regression. In addition, the Bayesian estimation process produces not a single point estimate for the "best" values of the regression coefficients...

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