Normal limits, nonnormal limits, and the bootstrap for quantiles of dependent data

Generalized Covering Groups and Direct Limits

Noncentral Limit Theorem and the Bootstrap for Quantiles of Dependent Data

We will show under minimal conditions on di erentiability and dependence that the central limit theorem for quantiles holds and that the block bootstrap is weakly consistent. Under slightly stronger conditions, the bootstrap is strongly consistent. Without the di erentiability condition, quantiles might have a non-normal asymptotic distribution and the bootstrap might fail. 1. Limit Behaviour o...

Limits in modified categories of interest

‎We firstly prove the completeness of the category of crossed modules in a modified category of interest‎. ‎Afterwards‎, ‎we define pullback crossed modules and pullback cat objects that are both obtained by pullback diagrams with extra structures on certain arrows‎. ‎These constructions unify many corresponding results for the cases of groups‎, ‎commutative algebras and can also be adapted to ...

Accurate confidence limits for quantiles under random censoring.

In survival analysis, estimates of median survival times in homogeneous samples are often based on the Kaplan-Meier estimator of the survivor function. Confidence intervals for quantiles, such as median survival, are typically constructed via large sample theory or the bootstrap. The former has suspect accuracy for small sample sizes under moderate censoring and the latter is computationally in...

New normal limits for the paediatric electrocardiogram.

AIMS Previous studies that determined the normal limits for the paediatric ECG had their imperfections: ECGs were recorded at a relatively low sampling rate, ECG measurements were conducted manually, or normal limits were presented for only a limited set of parameters. The aim of this study was to establish an up-to-date and complete set of clinically relevant normal limits for the paediatric E...