On the Asymptotics of Trimmed Best k-Nets

✍ Scribed by J.A. Cuesta-Albertos; L.A. Garcı́a-Escudero; A. Gordaliza

• Publisher: Elsevier Science
• Year: 2002
• Tongue: English
• Weight: 247 KB
• Volume: 82
• Category: Article
• ISSN: 0047-259X
• DOI: 10.1006/jmva.2001.2033

✦ Synopsis

as a robustified L . -based quantization procedure. This paper focuses on the asymptotics of this procedure. Also, some possible applications are briefly sketched to motivate the interest of this technique. Consistency and weak limit law are obtained in the multivariate setting. Consistency holds for absolutely continuous distributions without the (artificial) requirement of a trimming level varying with the sample size as in