Extreme Events in Finance : A Handbook of Extreme Value Theory and its Applications
Francois. Longin
Bok Engelsk 2016 · Electronic books.
| Annen tittel | |
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| Utgitt | Newark : : Wiley, , 2016.
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| Omfang | 1 online resource (638 p.)
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| Opplysninger | Description based upon print version of record.. - Cover; Title Page; Copyright; Contents; About the Editor; About the Contributors; Chapter 1 Introduction; 1.1 Extremes; 1.2 History; 1.3 Extreme value theory; 1.4 Statistical estimation of extremes; 1.5 Applications in finance; 1.6 Practitioners' points of view; 1.7 A broader view on modeling extremes; 1.8 Final words; 1.9 Thank you note; References; Chapter 2 Extremes Under Dependence-Historical Development and Parallels with Central Limit Theory; 2.1 Introduction; 2.2 Classical (I.I.D.) central limit and extreme value theories; 2.3 Exceedances of levels, kth largest values. - 2.4 CLT and EVT for stationary sequences, bernstein's blocks and strong mixing2.5 Weak distributional mixing for EVT, D(un), extremal index; 2.6 Point process of level exceedances; 2.7 Continuous parameter extremes; References; Chapter 3 The Extreme Value Problem in Finance: Comparing the Pragmatic Program with the Mandelbrot Program; 3.1 The extreme value puzzle in financial modeling; 3.2 The sato classification and the two programs; 3.3 Mandelbrot's program: A fractal approach; 3.4 The Pragmatic Program: A data-driven approach; 3.5 Conclusion; Acknowledgments; References. - 7.7 Applications to ruin theory and financial time series7.8 An application to the CAC40; 7.9 Conclusion; References; Chapter 8 Lévy Processes and Extreme Value Theory; 8.1 Introduction; 8.2 Extreme value theory; 8.3 Infinite divisibility and Lévy processes; 8.4 Heavy-tailed Lévy processes; 8.5 Semi-heavy-tailed Lévy processes; 8.6 Lévy processes and extreme values; 8.7 Conclusion; References; Chapter 9 Statistics of Extremes: Challenges and Opportunities; 9.1 Introduction; 9.2 Statistics of bivariate extremes; 9.3 Models based on families of tilted measures; 9.4 Miscellanea; References. - Chapter 10 Measures of Financial Risk. - Chapter 4 Extreme Value Theory: An Introductory Overview4.1 Introduction; 4.2 Univariate case; 4.3 Multivariate case: Some highlights; Further reading; Acknowledgments; References; Chapter 5 Estimation of the Extreme Value Index; 5.1 Introduction; 5.2 The main limit theorem behind extreme value theory; 5.3 Characterizations of the max-domains of attraction and extreme value index estimators; 5.4 Consistency and asymptotic normality of the estimators; 5.5 Second-order reduced-bias estimation; 5.6 Case study; 5.7 Other topics and comments; References. - Chapter 6 Bootstrap Methods in Statistics of Extremes6.1 Introduction; 6.2 A few details on EVT; 6.3 The bootstrap methodology in statistics of univariate extremes; 6.4 Applications to simulated data; 6.5 Concluding remarks; Acknowledgments; References; Chapter 7 Extreme Values Statistics for Markov Chains with Applications to Finance and Insurance; 7.1 Introduction; 7.2 On the (pseudo) regenerative approach for markovian data; 7.3 Preliminary results; 7.4 Regeneration-based statistical methods for extremal events; 7.5 The extremal index; 7.6 The regeneration-based hill estimator
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| ISBN | 978-1118650196
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