Explicit F\"ollmer-Schweizer decomposition and discrete-time hedging in exponential L\'evy models

In a financial market driven by an exponential L\'evy process, an explicit representation is shown for the F\"ollmer-Schweizer decomposition of European type options, implying a closed-form expression of the corresponding local risk-minimizing strategies. Using a jump-adjusted approximation scheme, the error caused by discretising the local risk-minimizing strategies is investigated in dependence of properties of the L\'evy measure, the regularity of the pay-off function and the chosen random discretisation times. The rate of this error as the number of expected discretisation times increases is measured in weighted BMO spaces, implying also $L_p$-estimates. Moreover, the effect of a change of measure satisfying a reverse H\"older inequality is addressed.Comment: 28 page

Using Bayesian Statistics in Operational Testing

This research explored the applicability of Bayesian methods to the problem of determining the reliability of a series system, a parallel system, and a bridge system. The time to failure of each component in each system is assumed to be exponentially distributed. A basic exponential case and a basic binomial case are also evaluated. In general, using simulated data and real data when possible, the Bayesian methods produced confidence intervals that were much tighter than the classical inference methods, thus allowing a decision maker to have higher confidence in making a decision. System level data and aggregated component level data produced a much tighter confidence interval than component level data aggregated to system

On outage probability and throughput performance of cognitive radio inspired NOMA relay system

To improve the throughput and the outage probability of the Cognitive Radio (CR) inspired system, a novel Non-Orthogonal Multiple Access (NOMA) can be deployed to adapt multiple services in 5G wireless communication. In this scheme, after the reception of the superposition coded symbol with a predefined power allocation factors from the primary source, the relay decodes and forwards with a new superposition coded symbol (i.e. allocating another power factors) to the destination. By employing twin antenna design at the relay, the bandwidth efficiency in such scheme will be improved. Assuming Rayleigh fading channels, the closed-form expressions in terms of throughput and the outage performance are derived. Through numerical results, they showed that the outage performance of the proposed scheme using a Single Antenna (SA) scheme at the relay is better than a Twin Antenna (TA) scheme because SA scheme is not affected by its own antenna interference

Intellectual Property and Tabletop Games

There is a rich body of literature regarding intellectual property’s (“IP”) “negative spaces”—fields where creation and innovation thrive without significant formal protection from IP law. Scholars have written about innovation in diverse fields despite weak or nonexistent IP rights, such as fashion design, fine cuisine, stand-up comedy, magic tricks, tattoos, and sports plays. Instead, these fields rely on social norms, first- mover advantage, and other (non-IP) legal regimes to promote innovation in the absence of IP protection. As a comparison to these studies, this Article comprehensively analyzes the role of IP law in facilitating innovation in tabletop gaming, including board games, card games, and pen-and-paper role-playing games. Over the past several decades, the tabletop gaming industry has seen a proliferation of innovation, but there is surprisingly little in the academic literature about IP and tabletop games. IP rights, including patents, copyrights, and trademarks, each protect certain aspects of games, while at the same time being constrained by doctrinal limitations that leave considerable flexibility for others to develop their own games and adapt or improve upon existing ones. There are also numerous examples of user-based innovation in tabletop gaming. This Article concludes by contending that IP rights, as well as their limitations, play a significant role in facilitating the robust innovation presently occurring in the tabletop gaming field

USING PRACTICAL CONTENT EXERCISES IN TEACHING 'MOMENTUM' - PHYSICS 10 TO DEVELOP STUDENTS' ABILITY TO APPLY KNOWLEDGE AND SKILLS

This study investigates the impact of integrating practical exercises into the teaching of "Momentum" in Physics 10, aiming to enhance students' ability to apply theoretical knowledge and skills. Recognizing the gap between theoretical physics education and its application, this research employs a comprehensive methodology, combining theoretical research, expert surveys, pedagogical experimentation, and statistical analysis to explore the efficacy of practical exercises. The pedagogical experiments, conducted in a controlled classroom setting, involved practical tasks that required students to apply concepts of momentum to solve real-world problems. The findings reveal a significant improvement in students' understanding and application of physics principles, particularly momentum, highlighting the value of experiential learning in physics education. Students demonstrated enhanced problem-solving abilities, deeper conceptual understanding, and increased engagement and interest in physics. Moreover, the study underscores the importance of practical exercises in bridging the gap between theoretical knowledge and real-world application, suggesting that such an approach not only facilitates a better grasp of scientific principles but also prepares students to tackle practical challenges effectively. The research advocates for the broader implementation of practical exercises in the physics curriculum, emphasizing their potential to transform traditional educational methodologies into more engaging and impactful learning experiences. Overall, this study contributes to the pedagogical discourse by affirming the critical role of practical exercises in developing competent and versatile learners capable of applying their knowledge and skills in diverse contexts, thus enhancing the quality of physics education and fostering a generation of problem-solvers equipped to navigate the complexities of the modern world