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http://hdl.handle.net/1942/34363| Title: | Efficiency behaviour of kernel-smoothed kernel distribution function estimators | Authors: | JANSSEN, Paul SWANEPOEL, Jan VERAVERBEKE, Noel |
Issue Date: | 2020 | Publisher: | SOUTH AFRICAN STATISTICAL ASSOC | Source: | South African statistical journal = Suid-Afrikaanse Statistiese Tydskrif, 54 (1) , p. 15 -23 | Abstract: | The asymptotic mean integrated squared error (AMISE) and the kernel efficiency (KE) of kernel distribution function estimators are well studied. In this note we define new non-parametric distribution function estimators by kernel-smoothing an initial kernel distribution function estimator. We show that, under certain conditions, the AMISE and the KE can be improved. A concrete example and a Monte Carlo simulation are worked out for illustration. The asymptotic mean integrated squared error (AMISE) and the kernel efficiency (KE) of kernel distribution function estimators are well studied. In this note we define new non-parametric distribution function estimators by kernel-smoothing an initial kernel distribution function estimator. We show that, under certain conditions, the AMISE and the KE can be improved. A concrete example and a Monte Carlo simulation are worked out for illustration. |
Keywords: | Asymptotic mean integrated squared error;Kernel distribution function estimator;Kernel efficiency | Document URI: | http://hdl.handle.net/1942/34363 | ISSN: | 0038-271X | e-ISSN: | 1996-8450 | DOI: | 10.37920/sasj.2020.54.1.2 | ISI #: | WOS:000522648300002 | Category: | A1 | Type: | Journal Contribution | Validations: | vabb 2023 |
| Appears in Collections: | Research publications |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| SASJ019_034 (1).pdf Restricted Access | Published version | 269.94 kB | Adobe PDF | View/Open Request a copy |
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