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  2. Point estimation - Wikipedia

    en.wikipedia.org/wiki/Point_estimation

    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 ...

  3. Estimation statistics - Wikipedia

    en.wikipedia.org/wiki/Estimation_statistics

    The primary aim of estimation methods is to report an effect size (a point estimate) along with its confidence interval, the latter of which is related to the precision of the estimate. [6] The confidence interval summarizes a range of likely values of the underlying population effect. Proponents of estimation see reporting a P value as an ...

  4. Estimator - Wikipedia

    en.wikipedia.org/wiki/Estimator

    When the word "estimator" is used without a qualifier, it usually refers to point estimation. The estimate in this case is a single point in the parameter space. There also exists another type of estimator: interval estimators, where the estimates are subsets of the parameter space. The problem of density estimation arises in two applications.

  5. Interval estimation - Wikipedia

    en.wikipedia.org/wiki/Interval_estimation

    In statistics, interval 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, which gives a single value. [1] The most prevalent forms of interval estimation are confidence intervals (a frequentist method) and credible intervals (a Bayesian method). [2]

  6. Prediction interval - Wikipedia

    en.wikipedia.org/wiki/Prediction_interval

    If one makes the parametric assumption that the underlying distribution is a normal distribution, and has a sample set {X 1, ..., X n}, then confidence intervals and credible intervals may be used to estimate the population mean μ and population standard deviation σ of the underlying population, while prediction intervals may be used to estimate the value of the next sample variable, X n+1.

  7. Plot (graphics) - Wikipedia

    en.wikipedia.org/wiki/Plot_(graphics)

    point estimates and confidence intervals; least squares regression; These and similar techniques are all valuable and are mainstream in terms of classical analysis. There are also many statistical tools generally referred to as graphical techniques. These include: [1] scatter plots; spectrum plots; histograms; probability plots; residual plots ...

  8. Confidence and prediction bands - Wikipedia

    en.wikipedia.org/wiki/Confidence_and_prediction...

    Confidence bands can be constructed around estimates of the empirical distribution function.Simple theory allows the construction of point-wise confidence intervals, but it is also possible to construct a simultaneous confidence band for the cumulative distribution function as a whole by inverting the Kolmogorov-Smirnov test, or by using non-parametric likelihood methods.

  9. Estimating equations - Wikipedia

    en.wikipedia.org/wiki/Estimating_equations

    The basis of the method is to have, or to find, a set of simultaneous equations involving both the sample data and the unknown model parameters which are to be solved in order to define the estimates of the parameters. [1] Various components of the equations are defined in terms of the set of observed data on which the estimates are to be based.