In this work we revisit the "holomorphic modular bootstrap", i.e. classification of rational conformal field theories via an analysis differential equations satisfied by their characters. By making use representation theory ${\rm PSL}(2,\mathbb{Z}_n)$, describe a method to classify allowed central charges and weights $(c,h_i)$ for with any number characters $d$. This allows us avoid various bot...

Bootstrap principle is briefly reviewed. Hall’s (1989) antithetic variates method for bootstrap is discussed and extended to more than two antithetic resampling processes. We illustrate the theory with a simulation study. The numerical results show that increasing the number of antithetic resampling processes produces significant smaller variances of the bootstrap estimator over the paired case.

We compare three methods of constructing confidence intervals for sample autocorrelations of squared returns modeled by models from the GARCH family. We compare the residual bootstrap, block bootstrap and subsampling methods. The residual bootstrap based on the standard GARCH(1,1) model is seen to perform best.

We develop an Algebraic Multigrid setup scheme based on the Bootstrap framework for multi-scale scientific computation. Our approach uses a weighted least squares definition of interpolation, based on a set of test vectors that are computed by a Bootstrap setup cycle and then improved by a multigrid eigensolver and a local residual-based adaptive relaxation process. To emphasize the robustness,...

We introduce bootstrapping as a generic method for improving channel equalization in TDMA cellular systems where the channels remain approximately constant over a transmitted burst. Bootstrapping implies that the detection is repeated, using an equalizer tuned with detected symbols. The procedure can be iterated to achieve even better performance. The initial equalizer is assumed to be tuned us...

Edgeworth expansions are derived for a class of weighted bootstrap methods for the Kaplan-Meier and Nelson-Aalen estimates using the methods contained in the monograph by Barbe and Bertail (1995). Von Mises representations up to the third order are established for the weighted bootstrap versions of these estimators. It is shown that there exists weights which out-perform Efron's bootstrap metho...