A Donsker Theorem for Lévy Measures

Given n equidistant realisations of a Lévy process (Lt; t >= 0), a natural estimator for the distribution function N of the Lévy measure is constructed. Under a polynomial decay restriction on the characteristic function, a Donsker-type theorem is proved, that is, a functional central limit theorem for the process in the space of bounded functions away from zero. The limit distribution is a generalised Brownian bridge process with bounded and continuous sample paths whose covariance structure depends on the Fourier-integral operator. The class of Lévy processes covered includes several relevant examples such as compound Poisson, Gamma and self-decomposable processes. Main ideas in the proof include establishing pseudo-locality of the Fourier-integral operator and recent techniques from smoothed empirical processes.uniform central limit theorem, nonlinear inverse problem, smoothed empirical processes, pseudo-differential operators, jump measure

Linguistische Gutachten für Patente

A patent is a special kind of text which has to comply with legal requirements, which is categorized by its strictly binding character, by its high financial potential and by its long-lasting validity. That is reason enough to take a closer look at the linguistic aspects of patents. Therefore doctima GmbH has developed a special offer for its clients to analyse patents as regards linguistic weak points.First, this article deals with the economic and operational aspects of patents. Second, characteristic features of the text of patents are analysed. Finally, doctima’s specific range of products concerning reports on patents is presented and its benefit for companies and patent agents is demonstrated

Redaktionsprozesse steuern durch Styleguides.

For a long time style guides have been one of the central meta-communicative genres in the economic world. But so far they have not been the focus of linguistic analysis. The article offers a short linguistic characterization of style guides. It describes the role style guides play in different units of modern companies. An analysis of typical advantages of style guides for technical writing units is offered. However these advantages are often nullified by obstacles in the implementation process. Some of the most common reasons for the abortion of style guide implementations are shown, i. e. • Too much time passes between the start of the project and the first benefits for the styleguide users. • Authors fear too restrictive frameworks and the loss of creativity in their work. • The most knowledgeable contributors to the style guide usually carry the largest workload and gain the least benefit from the implementation. The article consequently proposes a model, how style guides may be utilized not only as a restricted framework for writing at work but as a process oriented tool for the management of editorial processes

A Donsker Theorem for Lévy Measures

Given n equidistant realisations of a Lévy process (Lt; t >= 0), a natural estimator for the distribution function N of the Lévy measure is constructed. Under a polynomial decay restriction on the characteristic function, a Donsker-type theorem is proved, that is, a functional central limit theorem for the process in the space of bounded functions away from zero. The limit distribution is a generalised Brownian bridge process with bounded and continuous sample paths whose covariance structure depends on the Fourier-integral operator. The class of Lévy processes covered includes several relevant examples such as compound Poisson, Gamma and self-decomposable processes. Main ideas in the proof include establishing pseudo-locality of the Fourier-integral operator and recent techniques from smoothed empirical processes

Initial Assessment of a Fuel Cell—Gas Turbine Hybrid Propulsion Concept

A fuel cell—gas turbine hybrid propulsion concept is introduced and initially assessed. The concept uses the water mass flow produced by a hydrogen fuel cell in order to improve the efficiency and power output of the gas turbine engine through burner steam injection. Therefore, the fuel cell product water is conditioned through a process of condensation, pressurization and re-vaporization. The vaporization uses the waste heat of the gas turbine exhaust. The functional principles of the system concept are introduced and discussed, and appropriate methodology for an initial concept evaluation is formulated. Essential technology fields are surveyed in brief. The impact of burner steam injection on gas turbine efficiency and sizing is parametrically modelled. Simplified parametric models of the fuel cell system and key components of the water treatment process are presented. Fuel cell stack efficiency and specific power levels are methodically derived from latest experimental studies at the laboratory scale. The overall concept is assessed for a liquid hydrogen fueled short-/medium range aircraft application. Block fuel savings of up to 7.1% are found for an optimum design case based on solid oxide fuel cell technology. The optimum design features a gas turbine water-to-air ratio of 6.1% in cruise and 62% reduced high-level NOx emissions

Initial Assessment of a Fuel Cell—Gas Turbine Hybrid Propulsion Concept

A fuel cell—gas turbine hybrid propulsion concept is introduced and initially assessed. The concept uses the water mass flow produced by a hydrogen fuel cell in order to improve the efficiency and power output of the gas turbine engine through burner steam injection. Therefore, the fuel cell product water is conditioned through a process of condensation, pressurization and re-vaporization. The vaporization uses the waste heat of the gas turbine exhaust. The functional principles of the system concept are introduced and discussed, and appropriate methodology for an initial concept evaluation is formulated. Essential technology fields are surveyed in brief. The impact of burner steam injection on gas turbine efficiency and sizing is parametrically modelled. Simplified parametric models of the fuel cell system and key components of the water treatment process are presented. Fuel cell stack efficiency and specific power levels are methodically derived from latest experimental studies at the laboratory scale. The overall concept is assessed for a liquid hydrogen fueled short-/medium range aircraft application. Block fuel savings of up to 7.1% are found for an optimum design case based on solid oxide fuel cell technology. The optimum design features a gas turbine water-to-air ratio of 6.1% in cruise and 62% reduced high-level NOx emissions