Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/36615 
Year of Publication: 
2008
Series/Report no.: 
Technical Report No. 2008,20
Publisher: 
Technische Universität Dortmund, Sonderforschungsbereich 475 - Komplexitätsreduktion in Multivariaten Datenstrukturen, Dortmund
Abstract: 
Almost sure convergence for ratios of delta functions establishes global and local strong consistency for a variety of estimates and data generations. For instance, the empirical probability function from independent identically distributed random vectors, the empirical distribution for univariate independent identically distributed observations, and the kernel hazard rate estimate for right-censored and left-truncated data are covered. The convergence rates derive from the Bennett-Hoeffding inequality.
Subjects: 
kernel smoothing
hazard rate
left-truncation
right-censoring
empirical process
Document Type: 
Working Paper

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