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This edited volume proposes a review of the Long-Term Care insurance; this issue is addressed both from a global point of view, (through a presentation of the risk of dependence associated with the aging of the population) and an actuarial point of view, (with the presentation of existing insurance products and actuarial techniques for pricing and reserving). It proposes a cross-view of American and European experiences for this risk. It is the first book to be dedicated solely to long-term care insurance and aims to provide a valuable reference for all actuaries facing this issue. It is intended for both professionals and academics.
Long-Term Care. --- Distribution (Probability theory. --- Actuarial Sciences. --- Probability Theory and Stochastic Processes. --- Distribution functions --- Frequency distribution --- Characteristic functions --- Probabilities --- Actuarial science. --- Probabilities. --- Probability --- Statistical inference --- Combinations --- Mathematics --- Chance --- Least squares --- Mathematical statistics --- Risk --- Statistics --- Insurance
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The series is designed to bring together those mathematicians who are seriously interested in getting new challenging stimuli from economic theories with those economists who are seeking effective mathematical tools for their research. A lot of economic problems can be formulated as constrained optimizations and equilibration of their solutions. Various mathematical theories have been supplying economists with indispensable machineries for these problems arising in economic theory. Conversely, mathematicians have been stimulated by various mathematical difficulties raised by economic theories.
Mathematics. --- Game theory. --- Probabilities. --- Game Theory, Economics, Social and Behav. Sciences. --- Probability Theory and Stochastic Processes. --- Economics, Mathematical. --- Economics --- Mathematical economics --- Mathematics --- Econometrics --- Methodology --- Distribution (Probability theory. --- Distribution functions --- Frequency distribution --- Characteristic functions --- Probabilities --- Math --- Science --- Probability --- Statistical inference --- Combinations --- Chance --- Least squares --- Mathematical statistics --- Risk --- Games, Theory of --- Theory of games --- Mathematical models
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The series is designed to bring together those mathematicians who are seriously interested in getting new challenging stimuli from economic theories with those economists who are seeking effective mathematical tools for their research. A lot of economic problems can be formulated as constrained optimizations and equilibration of their solutions. Various mathematical theories have been supplying economists with indispensable machineries for these problems arising in economic theory. Conversely, mathematicians have been stimulated by various mathematical difficulties raised by economic theories.
Mathematics. --- Game theory. --- Probabilities. --- Game Theory, Economics, Social and Behav. Sciences. --- Probability Theory and Stochastic Processes. --- Probability --- Statistical inference --- Combinations --- Mathematics --- Chance --- Least squares --- Mathematical statistics --- Risk --- Games, Theory of --- Theory of games --- Mathematical models --- Math --- Science --- Economics, Mathematical. --- Economics --- Mathematical economics --- Econometrics --- Methodology --- Distribution (Probability theory. --- Distribution functions --- Frequency distribution --- Characteristic functions --- Probabilities
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This book focuses on metaheuristic methods and its applications to real-world problems in Engineering. The first part describes some key metaheuristic methods, such as Bat Algorithms, Particle Swarm Optimization, Differential Evolution, and Particle Collision Algorithms. Improved versions of these methods and strategies for parameter tuning are also presented, both of which are essential for the practical use of these important computational tools. The second part then applies metaheuristics to problems, mainly in Civil, Mechanical, Chemical, Electrical, and Nuclear Engineering. Other methods, such as the Flower Pollination Algorithm, Symbiotic Organisms Search, Cross-Entropy Algorithm, Artificial Bee Colonies, Population-Based Incremental Learning, Cuckoo Search, and Genetic Algorithms, are also presented. The book is rounded out by recently developed strategies, or hybrid improved versions of existing methods, such as the Lightning Optimization Algorithm, Differential Evolution with Particle Collisions, and Ant Colony Optimization with Dispersion – state-of-the-art approaches for the application of computational intelligence to engineering problems. The wide variety of methods and applications, as well as the original results to problems of practical engineering interest, represent the primary differentiation and distinctive quality of this book. Furthermore, it gathers contributions by authors from seven countries – some of which are the original proponents of the methods presented – and 21 research centers around the globe.
Computational intelligence. --- Artificial intelligence --- Engineering applications. --- Engineering. --- Distribution (Probability theory. --- Computational Intelligence. --- Discrete Optimization. --- Continuous Optimization. --- Probability Theory and Stochastic Processes. --- Distribution functions --- Frequency distribution --- Characteristic functions --- Probabilities --- Construction --- Industrial arts --- Technology --- Mathematical optimization. --- Probabilities. --- Probability --- Statistical inference --- Combinations --- Mathematics --- Chance --- Least squares --- Mathematical statistics --- Risk --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Intelligence, Computational --- Soft computing
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This book provides an overview of the risk components of CoCo bonds. CoCos are hybrid financial instruments that convert into equity or suffer a write-down of the face value upon the appearance of a trigger event. The loss-absorption mechanism is automatically enforced either via the breaching of a particular accounting ratio, typically in terms of the Common Equity Tier 1 (CET1) ratio, or via a regulatory trigger. CoCos are non-standardised instruments with different loss-absorption and trigger mechanisms. They might also contain additional features such as the cancellation of coupon payments. Different pricing models are discussed in detail. These models use market data such as share prices, CDS levels and implied volatility in order to calculate the theoretical price of a CoCo bond and its sensitivities, providing the investor with insides to hedge from adverse changes in the market conditions. The audience are professionals as well as academics who want to learn how to risk manage CoCo bonds using cutting edge techniques as well as all the risk involved in CoCo bonds.
Convertible bonds. --- Bonds, Convertible --- Convertibles (Bonds) --- Liquid yield option notes --- Bonds --- Convertible securities --- Finance. --- Financial engineering. --- Statistics. --- Finance—Mathematics. --- Distribution (Probability theory. --- Risk management. --- Quantitative Finance. --- Financial Engineering. --- Statistics for Business, Management, Economics, Finance, Insurance. --- Financial Mathematics. --- Probability Theory and Stochastic Processes. --- Risk Management. --- Insurance --- Management --- Distribution functions --- Frequency distribution --- Characteristic functions --- Probabilities --- Statistical analysis --- Statistical data --- Statistical methods --- Statistical science --- Mathematics --- Econometrics --- Computational finance --- Engineering, Financial --- Finance --- Funding --- Funds --- Economics --- Currency question --- Economics, Mathematical . --- Statistics . --- Probabilities. --- Probability --- Statistical inference --- Combinations --- Chance --- Least squares --- Mathematical statistics --- Risk --- Mathematical economics --- Methodology
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This book combines a model reduction technique with an efficient parametrization scheme for the purpose of solving a class of complex and computationally expensive simulation-based problems involving finite element models. These problems, which have a wide range of important applications in several engineering fields, include reliability analysis, structural dynamic simulation, sensitivity analysis, reliability-based design optimization, Bayesian model validation, uncertainty quantification and propagation, etc. The solution of this type of problems requires a large number of dynamic re-analyses. To cope with this difficulty, a model reduction technique known as substructure coupling for dynamic analysis is considered. While the use of reduced order models alleviates part of the computational effort, their repetitive generation during the simulation processes can be computational expensive due to the substantial computational overhead that arises at the substructure level. In this regard, an efficient finite element model parametrization scheme is considered. When the division of the structural model is guided by such a parametrization scheme, the generation of a small number of reduced order models is sufficient to run the large number of dynamic re-analyses. Thus, a drastic reduction in computational effort is achieved without compromising the accuracy of the results. The capabilities of the developed procedures are demonstrated in a number of simulation-based problems involving uncertainty.
Simulation methods. --- Simulation techniques --- System simulation --- Operations research --- Systems engineering --- Models and modelmaking --- Mechanics. --- Mechanics, Applied. --- Computer science. --- Distribution (Probability theory. --- Solid Mechanics. --- Computational Science and Engineering. --- Probability Theory and Stochastic Processes. --- Distribution functions --- Frequency distribution --- Characteristic functions --- Probabilities --- Informatics --- Science --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Computer mathematics. --- Probabilities. --- Probability --- Statistical inference --- Combinations --- Mathematics --- Chance --- Least squares --- Mathematical statistics --- Risk --- Computer mathematics --- Electronic data processing --- Solids. --- Probability Theory. --- Data processing. --- Solid state physics --- Transparent solids
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This book presents applications of semi-Markov processes in finance, insurance and reliability, using real-life problems as examples. After a presentation of the main probabilistic tools necessary for understanding of the book, the authors show how to apply semi-Markov processes in finance, starting from the axiomatic definition and continuing eventually to the most advanced financial tools, particularly in insurance and in risk-and-ruin theories. Also considered are reliability problems that interact with credit risk theory in finance. The unique approach of this book is to solve finance and insurance problems with semi-Markov models in a complete way and furthermore present real-life applications of semi-Markov processes. Audience This book is intended for applied mathematicians, statisticians, financial intermediaries, actuaries, engineers, operations researchers.
Financial risk --- Risk (Insurance) --- Risk --- Markov processes. --- Mathematical models. --- Analysis, Markov --- Chains, Markov --- Markoff processes --- Markov analysis --- Markov chains --- Markov models --- Models, Markov --- Processes, Markov --- Stochastic processes --- Business risk (Finance) --- Money risk (Finance) --- Markov processes --- 02.01.ZZD --- Mathematical models --- Verzekeringswezen ; Algemeen ; Meerdere landen --- Distribution (Probability theory. --- Finance. --- Business. --- Macroeconomics. --- Numerical analysis. --- Probability Theory and Stochastic Processes. --- Quantitative Finance. --- Business and Management, general. --- Finance, general. --- Macroeconomics/Monetary Economics//Financial Economics. --- Numerical Analysis. --- Mathematical analysis --- Economics --- Trade --- Management --- Commerce --- Industrial management --- Funding --- Funds --- Currency question --- Distribution functions --- Frequency distribution --- Characteristic functions --- Probabilities --- Probabilities. --- Economics, Mathematical . --- Management science. --- Quantitative business analysis --- Problem solving --- Operations research --- Statistical decision --- Mathematical economics --- Econometrics --- Mathematics --- Probability --- Statistical inference --- Combinations --- Chance --- Least squares --- Mathematical statistics --- Methodology
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This book comprises nine selected works on numerical and computational methods for solving multiobjective optimization, game theory, and machine learning problems. It provides extended versions of selected papers from various fields of science such as computer science, mathematics and engineering that were presented at EVOLVE 2013 held in July 2013 at Leiden University in the Netherlands. The internationally peer-reviewed papers include original work on important topics in both theory and applications, such as the role of diversity in optimization, statistical approaches to combinatorial optimization, computational game theory, and cell mapping techniques for numerical landscape exploration. Applications focus on aspects including robustness, handling multiple objectives, and complex search spaces in engineering design and computational biology.
Engineering. --- Computer science --- Artificial intelligence. --- Computer mathematics. --- Probabilities. --- Computational intelligence. --- Computational Intelligence. --- Artificial Intelligence (incl. Robotics). --- Probability Theory and Stochastic Processes. --- Mathematics of Computing. --- Computational Mathematics and Numerical Analysis. --- Mathematics. --- Intelligence, Computational --- Artificial intelligence --- Soft computing --- Probability --- Statistical inference --- Combinations --- Mathematics --- Chance --- Least squares --- Mathematical statistics --- Risk --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- AI (Artificial intelligence) --- Artificial thinking --- Electronic brains --- Intellectronics --- Intelligence, Artificial --- Intelligent machines --- Machine intelligence --- Thinking, Artificial --- Bionics --- Cognitive science --- Digital computer simulation --- Logic machines --- Machine theory --- Self-organizing systems --- Simulation methods --- Fifth generation computers --- Neural computers --- Construction --- Industrial arts --- Technology --- Distribution (Probability theory. --- Computer science. --- Artificial Intelligence. --- Informatics --- Science --- Distribution functions --- Frequency distribution --- Characteristic functions --- Probabilities --- Evolutionary computation --- Computer science—Mathematics.
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This book constitutes the proceedings of the 16th International Conference on Information Technologies and Mathematical Modelling, ITMM 2017, held in Kazan, Russia, in September/October 2017. The 31 papers presented in this volume were carefully reviewed and selected from 85 submissions. The conference covers various aspects of mathematical modeling and information technologies, focusing on probabilistic methods and models, queueing theory and communication networks.
Computer science. --- Computer communication systems. --- Computer system failures. --- Mathematical statistics. --- Computer simulation. --- Probabilities. --- Computer Science. --- Probability and Statistics in Computer Science. --- System Performance and Evaluation. --- Probability Theory and Stochastic Processes. --- Computer Communication Networks. --- Simulation and Modeling. --- Probability --- Statistical inference --- Combinations --- Mathematics --- Chance --- Least squares --- Mathematical statistics --- Risk --- Computer modeling --- Computer models --- Modeling, Computer --- Models, Computer --- Simulation, Computer --- Electromechanical analogies --- Mathematical models --- Simulation methods --- Model-integrated computing --- Statistics, Mathematical --- Statistics --- Probabilities --- Sampling (Statistics) --- Computer failures --- Computer malfunctions --- Computer systems --- Failure of computer systems --- System failures (Engineering) --- Fault-tolerant computing --- Communication systems, Computer --- Computer communication systems --- Data networks, Computer --- ECNs (Electronic communication networks) --- Electronic communication networks --- Networks, Computer --- Teleprocessing networks --- Data transmission systems --- Digital communications --- Electronic systems --- Information networks --- Telecommunication --- Cyberinfrastructure --- Electronic data processing --- Network computers --- Informatics --- Science --- Statistical methods --- Failures --- Distributed processing --- Computer system performance. --- Distribution (Probability theory. --- Distribution functions --- Frequency distribution --- Characteristic functions --- Queuing theory --- Models, Mathematical
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This book provides new theories, applications and quantitative methods in demography, population studies and statistics. It presents and applies data analysis, statistics and stochastic modeling techniques focusing on demography, population aging, mortality and health sciences. The book describes diverse stochastic processes as well as Markov and semi-Markov models in demography and population studies, along with chapters on statistical models and methods in biostatistics and epidemiology. As such the book will be a valuable source to demographers, health scientists, statisticians, economists and sociologists.
Social sciences. --- Public health. --- Probabilities. --- Statistics. --- Demography. --- Social Sciences. --- Public Health. --- Statistics for Social Science, Behavorial Science, Education, Public Policy, and Law. --- Probability Theory and Stochastic Processes. --- Historical demography --- Social sciences --- Population --- Vital statistics --- Statistical analysis --- Statistical data --- Statistical methods --- Statistical science --- Mathematics --- Econometrics --- Probability --- Statistical inference --- Combinations --- Chance --- Least squares --- Mathematical statistics --- Risk --- Community health --- Health services --- Hygiene, Public --- Hygiene, Social --- Public health services --- Public hygiene --- Sanitary affairs --- Social hygiene --- Health --- Human services --- Biosecurity --- Health literacy --- Medicine, Preventive --- National health services --- Sanitation --- Behavioral sciences --- Human sciences --- Sciences, Social --- Social science --- Social studies --- Civilization --- Population aging. --- Aging of population --- Aging population --- Aging society --- Demographic aging --- Graying (Demography) --- Greying (Demography) --- Age distribution (Demography) --- Distribution (Probability theory. --- Statistics for Social Sciences, Humanities, Law. --- Distribution functions --- Frequency distribution --- Characteristic functions --- Probabilities --- Statistics .
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