Klaus Schürger

TL;DR: In this article, it was shown that moments of negative order and positive non-integral order of a nonnegative random variable X can be expressed by the Laplace transform of X.

TL;DR: The authors generalizes and refines the Fundamental Theorem of Asset Pricing of Dalang, Morton, and Willinger in the following two respects: (a) the result is extended to a model with general portfolio constraints, and (b) versions of the no-arbitrage criterion based on the bang-bang principle in control theory are developed.

TL;DR: These results provide a theoretical basis for analyses of roundoff errors in numerical algorithms which use floating-point arithmetic, and for detection of fraud in numerical data via using goodness-of-fit of the least significant digits to uniform, complementing recent tests for leading significant digits based on Benford's law.

TL;DR: In this article, the authors define an indicator function for the set of all subsets of a d-dimensional Euclidean space, where the indicator function is defined by a set of neighbors.