Communications in statistics. Theory and methods, 2024-03, Vol.53 (5), p.1800-1809
2024
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- Autor(en) / Beteiligte
- Titel
- Berry-Esseen bound for smooth estimator of distribution function under length-biased data
- Ist Teil von
- Communications in statistics. Theory and methods, 2024-03, Vol.53 (5), p.1800-1809
- Ort / Verlag
- Philadelphia: Taylor & Francis
- Erscheinungsjahr
- 2024
- Quelle
- Taylor & Francis
- Beschreibungen/Notizen
- In this paper, by using a sampling procedure, subjected to length-bias, the distribution function F is estimated by the kernel-type estimator F n s , and also a Berry-Esseen type bound for the smoothed estimator is established in this setting. Further, it is shown that the rate of the normal approximation is O ( n − 1 / 6 ) under some appropriate conditions.
- Sprache
- Englisch
- Identifikatoren
- ISSN: 0361-0926eISSN: 1532-415XDOI: 10.1080/03610926.2022.2112695Titel-ID: cdi_crossref_primary_10_1080_03610926_2022_2112695
- Format
- –
- Schlagworte
- Berry-Esseen theorem, Distribution functions, length biased data, rate of convergence, smoothed estimator