Rozkłady wybranych bootstrapowych estymatorów mediany oraz zastosowanie dokładnej metody percentyli do jej przedziałowego szacowania
Distribution of Selected Bootstrap Median Estimators and Application of the Exact Percentile Method for its Interval Estimating

Summary/Abstract: The article presents the results of the use of exact percentiles methods for estimating median. For a sample with an odd number of observations used estimator in the form of the sample median (standard estimator), and for a sample with an even number of observations, used estimator in the form of the sample median and standard estimator. It presents a formula defining the distribution of standard estimator and describes how you can determine the distribution of the estimator in the form of the sample median for sample with an even number of observations. The study was conducted for the selected distributions and selected sample size. It was estimated standard deviation and confidence intervals for selected estimators. The study shows, that the use of exact percentiles method for standard estimators is much simpler than using the classical method with the resampling.

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