Stochastic processes, finance and control :: a festschrift in honor of Robert J. Elliott /
This book consists of a series of new, peer-reviewed papers in stochastic processes, analysis, filtering and control, with particular emphasis on mathematical finance, actuarial science and engineering. Paper contributors include colleagues, collaborators and former students of Robert Elliott, many...
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Weitere Verfasser: | , |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Singapore :
World Scientific Publishing Company,
2012.
|
Schriftenreihe: | Advances in statistics, probability and actuarial science ;
v. 1. |
Schlagworte: | |
Online-Zugang: | Volltext |
Zusammenfassung: | This book consists of a series of new, peer-reviewed papers in stochastic processes, analysis, filtering and control, with particular emphasis on mathematical finance, actuarial science and engineering. Paper contributors include colleagues, collaborators and former students of Robert Elliott, many of whom are world-leading experts and have made fundamental and significant contributions to these areas. This book provides new important insights and results by eminent researchers in the considered areas, which will be of interest to researchers and practitioners. |
Beschreibung: | 8. Counterparty risk and the impact of collateralization in CDS contracts T.R. Bielecki, I. Cialenco and I. Iyigunler. |
Beschreibung: | 1 online resource (xv, 588 pages) : illustrations (some color), portrait. |
Bibliographie: | Includes bibliographical references. |
ISBN: | 9789814383318 9814383317 9789814383301 9814383309 9781299243262 1299243266 |
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245 | 0 | 0 | |a Stochastic processes, finance and control : |b a festschrift in honor of Robert J. Elliott / |c editors, Samuel N. Cohen [and others]. |
260 | |a Singapore : |b World Scientific Publishing Company, |c 2012. | ||
300 | |a 1 online resource (xv, 588 pages) : |b illustrations (some color), portrait. | ||
336 | |a text |b txt |2 rdacontent | ||
337 | |a computer |b c |2 rdamedia | ||
338 | |a online resource |b cr |2 rdacarrier | ||
490 | 1 | |a Advances in Statistics, Probability and Actuarial Science ; |v v. 1 | |
504 | |a Includes bibliographical references. | ||
588 | 0 | |a Online resource; title from pdf information screen (Ebsco, viewed June 28, 2013). | |
505 | 0 | |a Preface; Contents; Stochastic Analysis; 1. On the connection between discrete and continuous Wick calculus with an application to the fractional Black- Scholes model C. Bender and P. Parczewski; 1.1 Introduction; 1.2 Continuous and discrete Wick calculus; 1.2.1. Wiener integrals and Wick exponentials; 1.2.2. Wick product; 1.2.3. Wick powers and Wick-analytic functions; 1.3. Application to the fractional Black-Scholes model; 1.3.1. The fractional Black-Scholes model; 1.3.2. A discrete version of the fractional Black-Scholes market; 1.3.3. Weak convergence to the fractional Black-Scholes model. | |
505 | 8 | |a 1.4. Simulating the discrete version of the fractional Black- Scholes model1.4.1. Discussion of the algorithm; 1.4.2. Numerical results; References; 2. Malliavin differentiability of a class of Feller-diffusions with relevance in Finance C.-O. Ewald, Y. Xiao, Y. Zou and T.K. Siu; 2.1. Introduction; 2.2. Preliminaries on Malliavin calculus; 2.3. Malliavin differentiability of -diffusions; 2.4. Conclusions; Acknowledgments; References; 3. A stochastic integral for adapted and instantly independent stochastic processes H.-H. Kuo, A. Sae-Tang and B. Szozda; 3.1. Introduction. | |
505 | 8 | |a 3.2. Martingales and near-martingales3.3. Near-martingales and the new integral; 3.4. Instantly independent processes and Ito isometry; 3.5. Ito integral and the new integral; 3.6. Further results; References; 4. Independence of some multiple Poisson stochastic integrals with variable-sign kernels N. Privault; 4.1. Introduction; 4.2. Necessary condition for independence; 4.3. Variable-sign kernels; 4.4. Conditional expectations; References; Differential and Stochastic Games; 5. Strategies for differential games W.H. Fleming and D. Hernandez-Hernandez; 5.1. Introduction. | |
505 | 8 | |a 5.2. Differential game formulation5.3. Elliott-Kalton strategies; 5.4. Saddle point property; 5.5. Time discretizations; 5.6. Approximately Markov strategies; 5.7. Progressively measurable strategies; 5.8. Max-plus stochastic control; 5.9. Stochastic differential games; References; 6. BSDE approach to non-zero-sum stochastic differential games of control and stopping I. Karatzas and Q. Li; 6.1. Introduction; 6.1.1. Bibliographic notes; 6.1.2. This paper; 6.2. The games of control and stopping; 6.2.1. The duality between Game and BSDE; 6.2.2. Controls observing volatility. | |
505 | 8 | |a 6.2.3. Rewards terminated by both players6.3. A multi-dimensional reflected BSDE with Lipschitz growth; 6.4. Markovian system with linear growth rate; References; Mathematical Finance; 7. On optimal dividend strategies in insurance with a random time horizon H. Albrecher and S. Thonhauser; 7.1. Introduction and model; 7.2. Exponential time horizon; 7.2.1. Explicit solution in case of exponential claims; 7.3. Erlang time horizon; 7.3.1. State-dependent barrier strategies; 7.3.2. Illustrations; 7.4. Conclusion and outlook; Acknowledgement; References. | |
500 | |a 8. Counterparty risk and the impact of collateralization in CDS contracts T.R. Bielecki, I. Cialenco and I. Iyigunler. | ||
520 | |a This book consists of a series of new, peer-reviewed papers in stochastic processes, analysis, filtering and control, with particular emphasis on mathematical finance, actuarial science and engineering. Paper contributors include colleagues, collaborators and former students of Robert Elliott, many of whom are world-leading experts and have made fundamental and significant contributions to these areas. This book provides new important insights and results by eminent researchers in the considered areas, which will be of interest to researchers and practitioners. | ||
650 | 0 | |a Portfolio management. |0 http://id.loc.gov/authorities/subjects/sh85105080 | |
650 | 0 | |a Stochastic processes. |0 http://id.loc.gov/authorities/subjects/sh85128181 | |
650 | 0 | |a Actuarial science. |0 http://id.loc.gov/authorities/subjects/sh2008005723 | |
650 | 6 | |a Gestion de portefeuille. | |
650 | 6 | |a Processus stochastiques. | |
650 | 6 | |a Actuariat. | |
650 | 7 | |a MATHEMATICS |x Probability & Statistics |x Stochastic Processes. |2 bisacsh | |
650 | 7 | |a Actuarial science |2 fast | |
650 | 7 | |a Portfolio management |2 fast | |
650 | 7 | |a Stochastic processes |2 fast | |
700 | 1 | |a Cohen, Samuel N. | |
700 | 1 | |a Elliott, Robert J. |q (Robert James), |d 1940- |1 https://id.oclc.org/worldcat/entity/E39PBJmTqCdMRPmWc9grKMrcyd |0 http://id.loc.gov/authorities/names/n50008874 | |
776 | 0 | 8 | |i Print version: |a Cohen, Samuel N. |t Stochastic Processes, Finance and Control : A Festschrift in Honor of Robert J Elliott. |d Singapore : World Scientific Publishing Company, ©2012 |z 9789814383301 |
830 | 0 | |a Advances in statistics, probability and actuarial science ; |v v. 1. |0 http://id.loc.gov/authorities/names/no2014123024 | |
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contents | Preface; Contents; Stochastic Analysis; 1. On the connection between discrete and continuous Wick calculus with an application to the fractional Black- Scholes model C. Bender and P. Parczewski; 1.1 Introduction; 1.2 Continuous and discrete Wick calculus; 1.2.1. Wiener integrals and Wick exponentials; 1.2.2. Wick product; 1.2.3. Wick powers and Wick-analytic functions; 1.3. Application to the fractional Black-Scholes model; 1.3.1. The fractional Black-Scholes model; 1.3.2. A discrete version of the fractional Black-Scholes market; 1.3.3. Weak convergence to the fractional Black-Scholes model. 1.4. Simulating the discrete version of the fractional Black- Scholes model1.4.1. Discussion of the algorithm; 1.4.2. Numerical results; References; 2. Malliavin differentiability of a class of Feller-diffusions with relevance in Finance C.-O. Ewald, Y. Xiao, Y. Zou and T.K. Siu; 2.1. Introduction; 2.2. Preliminaries on Malliavin calculus; 2.3. Malliavin differentiability of -diffusions; 2.4. Conclusions; Acknowledgments; References; 3. A stochastic integral for adapted and instantly independent stochastic processes H.-H. Kuo, A. Sae-Tang and B. Szozda; 3.1. Introduction. 3.2. Martingales and near-martingales3.3. Near-martingales and the new integral; 3.4. Instantly independent processes and Ito isometry; 3.5. Ito integral and the new integral; 3.6. Further results; References; 4. Independence of some multiple Poisson stochastic integrals with variable-sign kernels N. Privault; 4.1. Introduction; 4.2. Necessary condition for independence; 4.3. Variable-sign kernels; 4.4. Conditional expectations; References; Differential and Stochastic Games; 5. Strategies for differential games W.H. Fleming and D. Hernandez-Hernandez; 5.1. Introduction. 5.2. Differential game formulation5.3. Elliott-Kalton strategies; 5.4. Saddle point property; 5.5. Time discretizations; 5.6. Approximately Markov strategies; 5.7. Progressively measurable strategies; 5.8. Max-plus stochastic control; 5.9. Stochastic differential games; References; 6. BSDE approach to non-zero-sum stochastic differential games of control and stopping I. Karatzas and Q. Li; 6.1. Introduction; 6.1.1. Bibliographic notes; 6.1.2. This paper; 6.2. The games of control and stopping; 6.2.1. The duality between Game and BSDE; 6.2.2. Controls observing volatility. 6.2.3. Rewards terminated by both players6.3. A multi-dimensional reflected BSDE with Lipschitz growth; 6.4. Markovian system with linear growth rate; References; Mathematical Finance; 7. On optimal dividend strategies in insurance with a random time horizon H. Albrecher and S. Thonhauser; 7.1. Introduction and model; 7.2. Exponential time horizon; 7.2.1. Explicit solution in case of exponential claims; 7.3. Erlang time horizon; 7.3.1. State-dependent barrier strategies; 7.3.2. Illustrations; 7.4. Conclusion and outlook; Acknowledgement; References. |
ctrlnum | (OCoLC)830162000 |
dewey-full | 519.23 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 519 - Probabilities and applied mathematics |
dewey-raw | 519.23 |
dewey-search | 519.23 |
dewey-sort | 3519.23 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
format | Electronic eBook |
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id | ZDB-4-EBU-ocn830162000 |
illustrated | Illustrated |
indexdate | 2024-11-26T14:49:09Z |
institution | BVB |
isbn | 9789814383318 9814383317 9789814383301 9814383309 9781299243262 1299243266 |
language | English |
oclc_num | 830162000 |
open_access_boolean | |
owner | MAIN DE-863 DE-BY-FWS |
owner_facet | MAIN DE-863 DE-BY-FWS |
physical | 1 online resource (xv, 588 pages) : illustrations (some color), portrait. |
psigel | ZDB-4-EBU |
publishDate | 2012 |
publishDateSearch | 2012 |
publishDateSort | 2012 |
publisher | World Scientific Publishing Company, |
record_format | marc |
series | Advances in statistics, probability and actuarial science ; |
series2 | Advances in Statistics, Probability and Actuarial Science ; |
spelling | Stochastic processes, finance and control : a festschrift in honor of Robert J. Elliott / editors, Samuel N. Cohen [and others]. Singapore : World Scientific Publishing Company, 2012. 1 online resource (xv, 588 pages) : illustrations (some color), portrait. text txt rdacontent computer c rdamedia online resource cr rdacarrier Advances in Statistics, Probability and Actuarial Science ; v. 1 Includes bibliographical references. Online resource; title from pdf information screen (Ebsco, viewed June 28, 2013). Preface; Contents; Stochastic Analysis; 1. On the connection between discrete and continuous Wick calculus with an application to the fractional Black- Scholes model C. Bender and P. Parczewski; 1.1 Introduction; 1.2 Continuous and discrete Wick calculus; 1.2.1. Wiener integrals and Wick exponentials; 1.2.2. Wick product; 1.2.3. Wick powers and Wick-analytic functions; 1.3. Application to the fractional Black-Scholes model; 1.3.1. The fractional Black-Scholes model; 1.3.2. A discrete version of the fractional Black-Scholes market; 1.3.3. Weak convergence to the fractional Black-Scholes model. 1.4. Simulating the discrete version of the fractional Black- Scholes model1.4.1. Discussion of the algorithm; 1.4.2. Numerical results; References; 2. Malliavin differentiability of a class of Feller-diffusions with relevance in Finance C.-O. Ewald, Y. Xiao, Y. Zou and T.K. Siu; 2.1. Introduction; 2.2. Preliminaries on Malliavin calculus; 2.3. Malliavin differentiability of -diffusions; 2.4. Conclusions; Acknowledgments; References; 3. A stochastic integral for adapted and instantly independent stochastic processes H.-H. Kuo, A. Sae-Tang and B. Szozda; 3.1. Introduction. 3.2. Martingales and near-martingales3.3. Near-martingales and the new integral; 3.4. Instantly independent processes and Ito isometry; 3.5. Ito integral and the new integral; 3.6. Further results; References; 4. Independence of some multiple Poisson stochastic integrals with variable-sign kernels N. Privault; 4.1. Introduction; 4.2. Necessary condition for independence; 4.3. Variable-sign kernels; 4.4. Conditional expectations; References; Differential and Stochastic Games; 5. Strategies for differential games W.H. Fleming and D. Hernandez-Hernandez; 5.1. Introduction. 5.2. Differential game formulation5.3. Elliott-Kalton strategies; 5.4. Saddle point property; 5.5. Time discretizations; 5.6. Approximately Markov strategies; 5.7. Progressively measurable strategies; 5.8. Max-plus stochastic control; 5.9. Stochastic differential games; References; 6. BSDE approach to non-zero-sum stochastic differential games of control and stopping I. Karatzas and Q. Li; 6.1. Introduction; 6.1.1. Bibliographic notes; 6.1.2. This paper; 6.2. The games of control and stopping; 6.2.1. The duality between Game and BSDE; 6.2.2. Controls observing volatility. 6.2.3. Rewards terminated by both players6.3. A multi-dimensional reflected BSDE with Lipschitz growth; 6.4. Markovian system with linear growth rate; References; Mathematical Finance; 7. On optimal dividend strategies in insurance with a random time horizon H. Albrecher and S. Thonhauser; 7.1. Introduction and model; 7.2. Exponential time horizon; 7.2.1. Explicit solution in case of exponential claims; 7.3. Erlang time horizon; 7.3.1. State-dependent barrier strategies; 7.3.2. Illustrations; 7.4. Conclusion and outlook; Acknowledgement; References. 8. Counterparty risk and the impact of collateralization in CDS contracts T.R. Bielecki, I. Cialenco and I. Iyigunler. This book consists of a series of new, peer-reviewed papers in stochastic processes, analysis, filtering and control, with particular emphasis on mathematical finance, actuarial science and engineering. Paper contributors include colleagues, collaborators and former students of Robert Elliott, many of whom are world-leading experts and have made fundamental and significant contributions to these areas. This book provides new important insights and results by eminent researchers in the considered areas, which will be of interest to researchers and practitioners. Portfolio management. http://id.loc.gov/authorities/subjects/sh85105080 Stochastic processes. http://id.loc.gov/authorities/subjects/sh85128181 Actuarial science. http://id.loc.gov/authorities/subjects/sh2008005723 Gestion de portefeuille. Processus stochastiques. Actuariat. MATHEMATICS Probability & Statistics Stochastic Processes. bisacsh Actuarial science fast Portfolio management fast Stochastic processes fast Cohen, Samuel N. Elliott, Robert J. (Robert James), 1940- https://id.oclc.org/worldcat/entity/E39PBJmTqCdMRPmWc9grKMrcyd http://id.loc.gov/authorities/names/n50008874 Print version: Cohen, Samuel N. Stochastic Processes, Finance and Control : A Festschrift in Honor of Robert J Elliott. Singapore : World Scientific Publishing Company, ©2012 9789814383301 Advances in statistics, probability and actuarial science ; v. 1. http://id.loc.gov/authorities/names/no2014123024 FWS01 ZDB-4-EBU FWS_PDA_EBU https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=545463 Volltext |
spellingShingle | Stochastic processes, finance and control : a festschrift in honor of Robert J. Elliott / Advances in statistics, probability and actuarial science ; Preface; Contents; Stochastic Analysis; 1. On the connection between discrete and continuous Wick calculus with an application to the fractional Black- Scholes model C. Bender and P. Parczewski; 1.1 Introduction; 1.2 Continuous and discrete Wick calculus; 1.2.1. Wiener integrals and Wick exponentials; 1.2.2. Wick product; 1.2.3. Wick powers and Wick-analytic functions; 1.3. Application to the fractional Black-Scholes model; 1.3.1. The fractional Black-Scholes model; 1.3.2. A discrete version of the fractional Black-Scholes market; 1.3.3. Weak convergence to the fractional Black-Scholes model. 1.4. Simulating the discrete version of the fractional Black- Scholes model1.4.1. Discussion of the algorithm; 1.4.2. Numerical results; References; 2. Malliavin differentiability of a class of Feller-diffusions with relevance in Finance C.-O. Ewald, Y. Xiao, Y. Zou and T.K. Siu; 2.1. Introduction; 2.2. Preliminaries on Malliavin calculus; 2.3. Malliavin differentiability of -diffusions; 2.4. Conclusions; Acknowledgments; References; 3. A stochastic integral for adapted and instantly independent stochastic processes H.-H. Kuo, A. Sae-Tang and B. Szozda; 3.1. Introduction. 3.2. Martingales and near-martingales3.3. Near-martingales and the new integral; 3.4. Instantly independent processes and Ito isometry; 3.5. Ito integral and the new integral; 3.6. Further results; References; 4. Independence of some multiple Poisson stochastic integrals with variable-sign kernels N. Privault; 4.1. Introduction; 4.2. Necessary condition for independence; 4.3. Variable-sign kernels; 4.4. Conditional expectations; References; Differential and Stochastic Games; 5. Strategies for differential games W.H. Fleming and D. Hernandez-Hernandez; 5.1. Introduction. 5.2. Differential game formulation5.3. Elliott-Kalton strategies; 5.4. Saddle point property; 5.5. Time discretizations; 5.6. Approximately Markov strategies; 5.7. Progressively measurable strategies; 5.8. Max-plus stochastic control; 5.9. Stochastic differential games; References; 6. BSDE approach to non-zero-sum stochastic differential games of control and stopping I. Karatzas and Q. Li; 6.1. Introduction; 6.1.1. Bibliographic notes; 6.1.2. This paper; 6.2. The games of control and stopping; 6.2.1. The duality between Game and BSDE; 6.2.2. Controls observing volatility. 6.2.3. Rewards terminated by both players6.3. A multi-dimensional reflected BSDE with Lipschitz growth; 6.4. Markovian system with linear growth rate; References; Mathematical Finance; 7. On optimal dividend strategies in insurance with a random time horizon H. Albrecher and S. Thonhauser; 7.1. Introduction and model; 7.2. Exponential time horizon; 7.2.1. Explicit solution in case of exponential claims; 7.3. Erlang time horizon; 7.3.1. State-dependent barrier strategies; 7.3.2. Illustrations; 7.4. Conclusion and outlook; Acknowledgement; References. Portfolio management. http://id.loc.gov/authorities/subjects/sh85105080 Stochastic processes. http://id.loc.gov/authorities/subjects/sh85128181 Actuarial science. http://id.loc.gov/authorities/subjects/sh2008005723 Gestion de portefeuille. Processus stochastiques. Actuariat. MATHEMATICS Probability & Statistics Stochastic Processes. bisacsh Actuarial science fast Portfolio management fast Stochastic processes fast |
subject_GND | http://id.loc.gov/authorities/subjects/sh85105080 http://id.loc.gov/authorities/subjects/sh85128181 http://id.loc.gov/authorities/subjects/sh2008005723 |
title | Stochastic processes, finance and control : a festschrift in honor of Robert J. Elliott / |
title_auth | Stochastic processes, finance and control : a festschrift in honor of Robert J. Elliott / |
title_exact_search | Stochastic processes, finance and control : a festschrift in honor of Robert J. Elliott / |
title_full | Stochastic processes, finance and control : a festschrift in honor of Robert J. Elliott / editors, Samuel N. Cohen [and others]. |
title_fullStr | Stochastic processes, finance and control : a festschrift in honor of Robert J. Elliott / editors, Samuel N. Cohen [and others]. |
title_full_unstemmed | Stochastic processes, finance and control : a festschrift in honor of Robert J. Elliott / editors, Samuel N. Cohen [and others]. |
title_short | Stochastic processes, finance and control : |
title_sort | stochastic processes finance and control a festschrift in honor of robert j elliott |
title_sub | a festschrift in honor of Robert J. Elliott / |
topic | Portfolio management. http://id.loc.gov/authorities/subjects/sh85105080 Stochastic processes. http://id.loc.gov/authorities/subjects/sh85128181 Actuarial science. http://id.loc.gov/authorities/subjects/sh2008005723 Gestion de portefeuille. Processus stochastiques. Actuariat. MATHEMATICS Probability & Statistics Stochastic Processes. bisacsh Actuarial science fast Portfolio management fast Stochastic processes fast |
topic_facet | Portfolio management. Stochastic processes. Actuarial science. Gestion de portefeuille. Processus stochastiques. Actuariat. MATHEMATICS Probability & Statistics Stochastic Processes. Actuarial science Portfolio management Stochastic processes |
url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=545463 |
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