Kernel Estimation of Cumulative Distribution Function of a Random Variable with Bounded Support

• Authors: Baszczyńska Aleksandra
• Languages of publication: EN

Abstracts

EN

In the paper methods of reducing the so-called boundary effects, which appear in the estimation of certain functional characteristics of a random variable with bounded support, are discussed. The methods of the cumulative distribution function estimation, in particular the kernel method, as well as the phenomenon of increased bias estimation in boundary region are presented. Using simulation methods, the properties of the modified kernel estimator of the distribution function are investigated and an attempt to compare the classical and the modified estimators is made.

Keywords

EN

boundary effects; cumulative distribution function; kernel method; bounded support

• Publisher: Główny Urząd Statystyczny
• Journal: Statistics in Transition new series
• Year: 2016
• Volume: 17
• Issue: 3
• Pages: 541-556

Contributors

author

Baszczyńska Aleksandra

• University of Łódź

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