Higher-order accuracy of multiscale-double bootstrap for testing regions

Testing Regions with Nonsmooth Boundaries via Multiscale Bootstrap

Multiscale Analysis for Higher-order Tensors

The widespread use of multisensor technology and the emergence of big datasets have created the need to develop tools to reduce, approximate, and classify large and multimodal data such as higher-order tensors. While early approaches focused on matrix and vector based methods to represent these higher-order data, more recently it has been shown that tensor decomposition methods are better equip...

Approximately unbiased tests of regions using multistep-multiscale bootstrap resampling

1 Summary Approximately unbiased tests based on the bootstrap probabilities are considered for the exponential family of distributions with unknown expectation parameter vector, where the null hypothesis is represented as an arbitrary-shaped region with smooth boundaries. This problem is discussed previously in Efron and Tibshirani (1998), and a corrected p-value with second-order asymptotic ac...

Higher order mutation testing

This paper introduces a new paradigm for Mutation Testing, which we call Higher Order Mutation Testing (HOM Testing). Traditional Mutation Testing considers only first order mutants, created by the injection of a single fault. Often these first order mutants denote trivial faults that are easily killed. Higher order mutants are created by the insertion of two or more faults. The paper introduce...

Testing Higher Order Functions

Automatic testing of first order functions works fine. Testing higher order functions automatically is more troublesome, it is harder to generate the functions needed as argument automatically, and these generated functions cannot be shown when a counterexample is found. Nevertheless, higher order functions can contain errors and hence need to be tested. In this paper we present effective and e...