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International financial management --- Financial risk management. --- Probabilities. --- Finances --- Probabilités --- Gestion du risque --- AA / International- internationaal --- 305.91 --- 305.975 --- 306.3 --- 305.6 --- 333.109 --- Financial risk management --- Probabilities --- 332.015192 --- Probability --- Statistical inference --- Combinations --- Mathematics --- Chance --- Least squares --- Mathematical statistics --- Risk --- Risk management --- Econometrie van de financiële activa. Portfolio allocation en management. CAPM. Bubbles. --- Monte Carlo methods. Experimenten en resultaten. --- Vergissing, waarschijnlijkheid (toegepaste statistiek). --- Risicotheorie, speltheorie. Risicokapitaal. Beslissingsmodellen. --- Veiligheid. Bankovervallen. Bankrisico's. --- Probabilités --- Risicotheorie, speltheorie. Risicokapitaal. Beslissingsmodellen --- Econometrie van de financiële activa. Portfolio allocation en management. CAPM. Bubbles --- Monte Carlo methods. Experimenten en resultaten --- Vergissing, waarschijnlijkheid (toegepaste statistiek) --- Veiligheid. Bankovervallen. Bankrisico's
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This groundbreaking book extends traditional approaches of risk measurement and portfolio optimization by combining distributional models with risk or performance measures into one framework. Throughout these pages, the expert authors explain the fundamentals of probability metrics, outline new approaches to portfolio optimization, and discuss a variety of essential risk measures. Using numerous examples, they illustrate a range of applications to optimal portfolio choice and risk theory, as well as applications to the area of computational finance that may be useful to financial engineers.
Stochastic processes. --- Mathematical optimization. --- Risk assessment --- Portfolio management --- Mathematical models. --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Random processes --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Probabilities --- Stochastic processes --- Mathematical optimization --- Mathematical models --- E-books --- Investment management
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This book covers the method of metric distances and its application in probability theory and other fields. The method is fundamental in the study of limit theorems and generally in assessing the quality of approximations to a given probabilistic model. The method of metric distances is developed to study stability problems and reduces to the selection of an ideal or the most appropriate metric for the problem under consideration and a comparison of probability metrics. After describing the basic structure of probability metrics and providing an analysis of the topologies in the space of probability measures generated by different types of probability metrics, the authors study stability problems by providing a characterization of the ideal metrics for a given problem and investigating the main relationships between different types of probability metrics. The presentation is provided in a general form, although specific cases are considered as they arise in the process of finding supplementary bounds or in applications to important special cases. Svetlozar T. Rachev is the Frey Family Foundation Chair of Quantitative Finance, Department of Applied Mathematics and Statistics, SUNY-Stony Brook and Chief Scientist of Finanlytica, USA. Lev B. Klebanov is a Professor in the Department of Probability and Mathematical Statistics, Charles University, Prague, Czech Republic. Stoyan V. Stoyanov is a Professor at EDHEC Business School and Head of Research, EDHEC-Risk Institute—Asia (Singapore). Frank J. Fabozzi is a Professor at EDHEC Business School. (USA) .
Statistical science --- Mathematics --- Operational research. Game theory --- Mathematical statistics --- Probability theory --- Computer science --- waarschijnlijkheidstheorie --- stochastische analyse --- informatica --- statistiek --- wiskunde --- kansrekening --- statistisch onderzoek
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