In this chapter, a general theory for the construction of confidence intervals or regions is
presented. Much of what is presented is extracted from Politis and Romano (1992c, 1994b) …

A general approach to constructing confidence intervals by subsampling was presented in
Politis and Romano (1994). The crux of the method is recomputing a statistic over …

Politis and Romano have put forth a general subsampling methodology for the construction
of large-sample confidence regions for a general unknown parameter θ associated with the …

In this article, the construction of confidence regions by approximating the sampling
distribution of some statistic is studied. The true sampling distribution is estimated by an …

The subsample values of a statistic t are the values of t for subsets of the whole sample.
Subsample values may be used as indicators of variability of t. For real valued statistics t …

On the uniform asymptotic validity of subsampling and the bootstrap Page 1 The Annals of
Statistics 2012, Vol. 40, No. 6, 2798–2822 DOI: 10.1214/12-AOS1051 © Institute of …

FOR a-measurable character an inference-the calculation, for ex-ample, of fiducial limits-
may be made from a sample S, not onily on the value of the population mean m, but also on …

In this paper we develop rules for determining sample sizes based on the idea of a fixed
precision d at a given level of probability in the posterior distribution of the parameter of …

Bootstrap confidence intervals provide a way of quantifying the uncertainties in the
inferences that can be drawn from a sample of data. The idea is to use a simulation, based …

Work for this mono graph on sampling wi th unequal probabili ties was started when
Muhammad Hanif was a visitor to the then Commonwealth Bureau of Census and Statistics …