Authors: Poniatowski, Wladyslaw
Weißbach, Rafael
Title: Strong consistency for delta sequence ratios
Language (ISO): en
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. 62G05,62G20, 62N02, 60G57, 60G50
Subject Headings: Empirical process
Hazard rate
Kernel smoothing
Issue Date: 2009-01-13T07:57:09Z
Appears in Collections:Sonderforschungsbereich (SFB) 475

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