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Title:Strong consistency for delta sequence ratios PDF Logo
Authors:Poniatowski, Wladyslaw
Weißbach, Rafael
Issue Date:2008
Series/Report no.:Technical Report // Sonderforschungsbereich 475, Komplexitätsreduktion in Multivariaten Datenstrukturen, Universität Dortmund 2008,20
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
Appears in Collections:Technical Reports, SFB 475: Komplexitätsreduktion in multivariaten Datenstrukturen, TU Dortmund

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