The author investigates the Cramer –Lundberg model, collecting the most interesting theorems and methods, which estimate probability of default for a company of insurance business. These offer different kinds of approximate values for probability of default on the base of normal and diffusion approach and some special asymptotic.

Risk analysis is crucial in stochastic supply chain models. Over the past few years, the pace has quickened for research attempting to explore risk analysis issues in supply chain management problems, while the majority of recent papers focus on conceptual framework or computational numerical analysis. Pioneered by Nobel laureate Markowitz in the 1950s, the mean-risk (MR) formulation became a fundamental theory for risk management in finance. Despite the significance and popularity of MR-related approaches in finance, their applications in studying multi-echelon supply chain management problems have only been seriously explored in recent years. While the MR approach has already been shown to be useful in conducting risk analysis in stochastic supply chain models, there is no comprehensive reference source that provides the state-of-the-art findings on this important model for supply chain management. Thus it is significant to have a book that reviews and extends the MR related works for supply chain risk analysis. This book is organized into five chapters. Chapter 1 introduces the topic, offers a timely review of various related areas, and explains why the MR approach is important for conducting supply chain risk analysis. Chapter 2 examines the single period inventory model with the mean-variance and mean-semi-deviation approaches. Extensive discussions on the efficient frontiers are also reported. Chapter 3 explores the infinite horizon multi-period inventory model with a mean-variance approach. Chapter 4 investigates the supply chain coordination problem with a versatile target sales rebate contract and a risk averse retailer possessing the mean-variance optimization objective. Chapter 5 concludes the book and discusses various promising future research directions and extensions. Every chapter can be taken as a self-contained article, and the notation within each chapter is consistently employed.

"Stochastic Calculus for Finance: A Practical Guide" offers an insightful exploration into the mathematical intricacies underpinning modern financial markets. Designed to demystify complex concepts, this comprehensive text bridges rigorous theory with application, crafting a resource that is as invaluable to students embarking on a financial career as it is to seasoned professionals seeking to enrich their analytical toolkit. Through an elegant synthesis of probability theory, stochastic processes, and advanced calculus, readers are introduced to the foundational frameworks that drive market analysis, derivative pricing, and portfolio optimization. This guide stands out by making sophisticated mathematical models accessible, without sacrificing depth or precision. By delving into topics such as Brownian motion, stochastic differential equations, and applications of machine learning, the book equips readers with the tools needed to navigate and innovate in the financial landscape. It elucidates the power of stochastic calculus in shaping strategies and solutions to real-world financial challenges, fostering a nuanced understanding of risk management and asset allocation. With its blend of theoretical insight and practical application, this book promises to be an essential companion for those dedicated to mastering the art and science of finance.

Effective control of pathogens continues to be of great importance to the food industry. The first edition of Foodborne pathogens quickly established itself as an essential guide for all those involved in the management of microbiological hazards at any stage in the food production chain. This major edition strengthens that reputation, with extensively revised and expanded coverage, including more than ten new chapters.Part one focuses on risk assessment and management in the food chain. Opening chapters review the important topics of pathogen detection, microbial modelling and the risk assessment procedure. Four new chapters on pathogen control in primary production follow, reflecting the increased interest in safety management early in the food chain. The fundamental issues of hygienic design and sanitation are also covered in more depth in two extra chapters. Contributions on safe process design and operation, HACCP and good food handling practice complete the section.Parts two and three then review the management of key bacterial and non-bacterial foodborne pathogens. A new article on preservation principles and technologies provides the context for following chapters, which discuss pathogen characteristics, detection methods and control procedures, maintaining a practical focus. There is expanded coverage of non-bacterial agents, with dedicated chapters on gastroenteritis viruses, hepatitis viruses and emerging viruses and foodborne helminth infections among others.The second edition of Foodborne pathogens: hazards, risk analysis and control is an essential and authoritative guide to successful pathogen control in the food industry. - Strengthens the highly successful first edition of Foodborne pathogens with extensively revised and expanded coverage - Discusses risk assessment and management in the food chain. New chapters address pathogen control, hygiene design and HACCP - Addresses preservation principles and technologies focussing on pathogen characteristics, detection methods and control procedures

Earthquakes represent a major risk to buildings, bridges and other civil infrastructure systems, causing catastrophic loss to modern society. Handbook of seismic risk analysis and management of civil infrastructure systems reviews the state of the art in the seismic risk analysis and management of civil infrastructure systems.Part one reviews research in the quantification of uncertainties in ground motion and seismic hazard assessment. Part twi discusses methodologies in seismic risk analysis and management, whilst parts three and four cover the application of seismic risk assessment to buildings, bridges, pipelines and other civil infrastructure systems. Part five also discusses methods for quantifying dependency between different infrastructure systems. The final part of the book considers ways of assessing financial and other losses from earthquake damage as well as setting insurance rates.Handbook of seismic risk analysis and management of civil infrastructure systems is an invaluable guide for professionals requiring understanding of the impact of earthquakes on buildings and lifelines, and the seismic risk assessment and management of buildings, bridges and transportation. It also provides a comprehensive overview of seismic risk analysis for researchers and engineers within these fields. - This important handbook reviews the wealth of recent research in the area of seismic hazard analysis in modern earthquake design code provisions and practices - Examines research into the analysis of ground motion and seismic hazard assessment, seismic risk hazard methodologies - Addresses the assessment of seismic risks to buildings, bridges, water supply systems and other aspects of civil infrastructure

The author presents two concepts to handle the classic linear mixed-integer two-stage stochastic optimization problem. She describes mean-risk modeling and stochastic programming with first order dominance constraints. Both approaches are applied to optimize the operation of a dispersed generation system.

Since the pioneering work of Black, Scholes, and Merton in the field of financial mathematics, research has led to the rapid development of a substantial body of knowledge, with plenty of applications to the common functioning of the world’s financial institutions. Mathematics, as the language of science, has always played a role in the development of knowledge and technology. Presently, the high-tech character of modern business has increased the need for advanced methods, which rely to a large extent on mathematical techniques. It has become essential for the financial analyst to possess a high degree of proficiency in these mathematical techniques.

This book collects the papers presented at the 6th International Conference on Risk Analysis and Crisis Response (RACR-2017) held in Ostrava/Prague, Czech Republic, on June 5-9, 2017, organized by VSB-Technical University of Ostrava, Czech Republic. The overall theme of the sixth international conference on risk analysis and crisis response is Risk Analysis and Management – Trends, Challenges and Emerging Issues, highlighting science and technology to improve risk analysis capabilities and to optimize crisis response strategy. This book contains primarily research articles of risk issues. Underlying topics include natural hazards and major (chemical) accidents prevention, disaster risk reduction and society resilience, information and communication technologies safety and cybersecurity, modern trends in crisis management, energy and resources security, critical infrastructure, nanotechnology safety and others. All topics include aspects of multidisciplinarity and complexity of safety in education and research. The book should be valuable to professors, engineers, officials, businessmen and graduate students in risk analysis and risk management. About the book series Communications in Cybernetics, Systems Science and Engineering - Proceedings (CCSSEP) is a cross-disciplinary book series devoted to theoretical and applied research contributions, that cater to a rapidly growing worldwide interest in a cybernetic and systemic methodology with an ever-increasing capacity to deal with new challenges in a way that traditional science cannot. The series aims to become a comprehensive reference work on and guide to developments within the field and strategies required for better implementation of advances, with a view to environmental protection and sustainable social and economic development. The CCSSE series targets all working in theoretical and applied fields of cybernetics, systems science and engineering, e.g. academics, researchers and consultants, computer and information scientists, development and systems engineers, mathematicians, management cyberneticists and systemists, medical scientists, and intelligent and manufacturing engineers in industry, as well as leading decision- and policy-makers. Series editor: Jeffrey ‘Yi-Lin’ Forrest

Emilia Graß develops a solution method which can provide fast and near-optimal solutions to realistic large-scale two-stage stochastic problems in disaster management. The author proposes a specialized interior-point method to accelerate the standard L-shaped algorithm. She shows that the newly developed solution method solves two realistic large-scale case studies for the hurricane prone Gulf and Atlantic coast faster than the standard L-shaped method and a commercial solver. The accelerated solution method enables relief organizations to employ appropriate preparation measures even in the case of short-term disaster warnings. About the Author Emilia Graß holds a PhD from the Hamburg University of Technology, Germany. She is currently working as guest researcher on the project cyber security in healthcare at the Centre for Health Policy, Imperial College London, UK. Her scientific focus is on stochastic programming, solution methods, disaster management and healthcare.