Bootstrap percolation, a model of irreversible activation on graphs, has emerged as a pivotal area within graph theory and statistical mechanics. In this process, nodes (or vertices) on a network are ...

A general formula for computing the breakdown point (in robustness) for the tth bootstrap quantile of a statistic T n is obtained. The answer depends on t and the breakdown point of T n. Since the ...

We propose a new method, based on sample splitting, for constructing bootstrap confidence bounds for a parameter appearing in the regular smooth function model. It has been demonstrated in the ...

String theory, conceptualized more than 50 years ago as a framework to explain the formation of matter, remains elusive as a “provable” phenomenon. But a team of physicists has now taken a significant ...