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Estimation in conditionally herteroscedastic time series models par Straumann,, Daniel. Publication : [S.l.] Springer 2004 . 250 p. , In his seminal 1982 paper, Robert F. Engle described a time series model with a time-varying volatility. Engle showed that this model, which he called ARCH (autoregressive conditionally heteroscedastic), is well-suited for the description of economic and financial price. Nowadays ARCH has been replaced by more general and more sophisticated models, such as GARCH (generalized autoregressive heteroscedastic). This monograph concentrates on mathematical statistical problems associated with fitting conditionally heteroscedastic time series models to data. This includes the classical statistical issues of consistency and limiting distribution of estimators. Particular attention is addressed to (quasi) maximum likelihood estimation and misspecified models, along to phenomena due to heavy-tailed innovations. The used methods are based on techniques applied to the analysis of stochastic recurrence equations. Proofs and arguments are given wherever possible in full mathematical rigour. Moreover, the theory is illustrated by examples and simulation studies. 24 cm. Date : 2004 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Heavy-tail phenomena : probabilistic and statistical modeling / par Resnick, Sidney I. Publication : [S.l.] : Springer, 2006 . 406 p. ; , This comprehensive text  gives an interesting  and useful blend  of the mathematical, probabilistic and statistical tools used in heavy-tail analysis.  Heavy tails are characteristic of many  phenomena where the probability of a single huge value impacts heavily.  Record-breaking insurance losses,  financial-log returns, files sizes stored on a server, transmission rates of files are all examples of  heavy-tailed phenomena. Key features: * Unique  text devoted to heavy-tails * Emphasizes both probability modeling and statistical methods for fitting models.   Most  treatments focus on one or the other but not both * Presents broad applicability  of heavy-tails to the fields of data networks, finance (e.g., value-at- risk), insurance, and hydrology * Clear, efficient and coherent exposition, balancing  theory and actual data to show the applicability and limitations of certain methods * Examines in detail the mathematical properties of the methodologies as well as their implementation in  Splus or R statistical languages * Exposition driven by numerous examples and exercises Prerequisites for the reader include a prior course in stochastic processes and probability, some statistical background, some familiarity with time series analysis, and ability to use (or at least to learn) a statistics package such as R or Splus. This work will serve second-year graduate students and researchers in the areas of applied mathematics, statistics, operations research, electrical engineering, and economics. 24 cm. Date : 2006 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Introduction to mathematical finance : discrete time models / par Pliska, S.R. Publication : [S.l.] : Blackwell Publishers, 1997 . 262 p. ; , Relié. 24 cm. Date : 1997 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Juridiques, Economiques et de Gestion (1),

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Mathematical methods in risk theory / par Bþhlmann,, Hans. Publication : [S.l.] : Springer, 1996 . 210 pages ; , From the reviews: "The huge literature in risk theory has been carefully selected and supplemented by personal contributions of the author, many of which appear here for the first time. The result is a systematic and very readable book, which takes into account the most recent developments of the field. It will be of great interest to the actuary as well as to the statistician who wants to become familiar with the subject." Math. Reviews Vol. 43 "It is a book of fundamental importance for all interested in the application or teaching of the subject and a significant addition to the literature." Journal of the Royal Statistical Society (England) 1971 " This latest addition to the literature of risk theory is a masterful work.." Transactions, Soc of Actuaries meetings 65. 24 cm. Date : 1996 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Juridiques, Economiques et de Gestion (1),

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Optimisation et contrôle stochastique appliqués à la finance / par Pham, Huyên. Publication : Berlin ; | New York : Springer, 2007 . 1 online resource (xv, 186 pages). Date : 2007 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Theory of random sets / par Molchanov,, Ilya. Publication : [berne.] : Springer, 2005 . 504 p. , This is the first systematic exposition of random sets theory since Matheron (1975), with full proofs, exhaustive bibliographies and literature notes Interdisciplinary connections and applications of random sets are emphasized throughout the book An extensive bibliography in the book is available on the Web at http://liinwww.ira.uka.de/bibliography/math/random.closed.sets.html, and is accompanied by a search engine. 24 cm. Date : 2005 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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An introduction to heavy-tailed and subexponential distributions / par Foss, Serguei. Publication : New York, NY : Springer, 2013 . 1 online resource. Date : 2013 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Quantile-Based Reliability Analysis par Nair, N. Unnikrishnan. Publication : . XX, 397 p. 20 illus., 3 illus. in color. Disponibilité :  http://dx.doi.org/10.1007/978-0-8176-8361-0,

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Value-Oriented Risk Management of Insurance Companies par Kriele, Marcus. Publication : . XII, 378 p. 48 illus. Disponibilité :  http://dx.doi.org/10.1007/978-1-4471-6305-3,

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R for Business Analytics par Ohri, A. Publication : . XVIII, 312 p. 206 illus., 160 illus. in color. Disponibilité :  http://dx.doi.org/10.1007/978-1-4614-4343-8,

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The Gini Methodology A Primer on a Statistical Methodology / par Yitzhaki, Shlomo. Publication : . XVI, 548 p. Disponibilité :  http://dx.doi.org/10.1007/978-1-4614-4720-7,

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Mathematical Statistics for Economics and Business par Mittelhammer, Ron C. Publication : . XXIX, 755 p. Disponibilité :  http://dx.doi.org/10.1007/978-1-4614-5022-1,

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Statistics for Business and Financial Economics par Lee, Cheng-Few. Publication : . XLVIII, 1206 p. 313 illus., 189 illus. in color. Disponibilité :  http://dx.doi.org/10.1007/978-1-4614-5897-5,

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Weather Derivatives Modeling and Pricing Weather-Related Risk / par Alexandridis K., Antonis. Publication : . XVI, 300 p. Disponibilité :  http://dx.doi.org/10.1007/978-1-4614-6071-8,

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An Introduction to Heavy-Tailed and Subexponential Distributions par Foss, Sergey. Publication : . XI, 157 p. Disponibilité :  http://dx.doi.org/10.1007/978-1-4614-7101-1,

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Business Statistics for Competitive Advantage with Excel 2013 Basics, Model Building, Simulation and Cases / par Fraser, Cynthia. Publication : . XIV, 449 p. 406 illus. in color. Disponibilité :  http://dx.doi.org/10.1007/978-1-4614-7381-7,

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