Pietra ratio (Pietra index), also known as Robin Hood index, Schutz coefficient (RicciSchutz index) or half the relative mean deviation, is a good measure of statistical heterogeneity in the context of positive-valued data sets. In this thesis, two novel methods namely “adjusted jackknife empirical likelihood” and “extended jackknife empirical likelihood” are developed from the jackknife empiri...

The article Bootstrap Method for Assessing Statistical Accuracy, written by Bradley Efron and Robert Tibshirani, was originally published Online First without Open Access.

BACKGROUND Cost-effectiveness analyses (CEAs) that use patient-specific data from a randomized controlled trial (RCT) are popular, yet such CEAs are criticized because they neglect to incorporate evidence external to the trial. A popular method for quantifying uncertainty in a RCT-based CEA is the bootstrap. The objective of the present study was to further expand the bootstrap method of RCT-ba...

This paper assesses the finite sample refinements of the block bootstrap and the Non-Parametric Bootstrap for conditional moment models. The study recononsiders inference in the generalized method of moments estimation of the consumption asset pricing model of Singleton (1986). These dependent bootstrap resampling schemes are proposed as an alternative to the asymptotic approximation in small s...

We propose a new resampling procedure, the dependent wild bootstrap, for stationary time series. As a natural extension of the traditional wild bootstrap to time series setting, the dependent wild bootstrap offers a viable alternative to the existing block-based bootstrap methods, whose properties have been extensively studied over the last two decades. Unlike all of the block-based bootstrap m...

We have recently developed a distance metric for efficiently estimating the number of substitutions per site between unaligned genome sequences. These substitution rates are called "anchor distances" and can be used for phylogeny reconstruction. Most phylogenies come with bootstrap support values, which are computed by resampling with replacement columns of homologous residues from the original...

Cross-validation and bootstrap, or resampling methods in general, are examined for applying them to optimizing the number of units of competitive associative nets called CAN2. There are a number of resampling methods available, but the performance depends on the neural network to be applied and functions to be learned. So, we apply several resampling methods to the CAN2 which has been shown eff...