In financial applications of QMC methods, often integrals appear with a singular integrand on the integration boundary. As the variation in the sense of Hardy and Krause is not bounded for such functions, one has to use other theorems than the Koksma-Hlawka inequality to show convergence of QMC methods and estimate the convergence rate. Recently, a lot of research effort has been spent on this ...

Accurate chromosome segregation requires that the two sister kinetochores attach to microtubules from opposite spindle poles. New work reveals how a kinetochore can segregate properly while remaining improperly attached to two spindle poles.

We consider improper colorings (sometimes called generalized, defective or relaxed colorings) in which every color class has a bounded degree. We propose a natural extension of improper colorings: acyclic improper choosability. We prove that subcubic graphs are acyclically (3,1)∗-choosable (i.e. they are acyclically 3-choosable with color classes of maximum degree one). Using a linear time algo...

Multiple imputation has become viewed as a general solution to missing data problems in statistics. However, in order to lead to consistent asymptotically normal estimators, correct variance estimators and valid tests, the imputations must be proper. So far it seems that only Bayesian multiple imputation, i.e. using a Bayesian predictive distribution to generate the imputations, or approximatel...

This study takes the mathematical software Maple as the auxiliary tool to evaluate some type of improper integrals. We can obtain the infinite series form of this type of improper integrals by using three important methods (i.e., differentiation with respect to a parameter, differentiation term by term, and integration term by term). In addition, we propose two improper integrals to do calculat...