Lévy Matters V

Lévy Matters V

Author: Lars Nørvang Andersen

Publisher: Springer

Published: 2015-10-24

Total Pages: 224

ISBN-13: 3319231383

DOWNLOAD EBOOK

This three-chapter volume concerns the distributions of certain functionals of Lévy processes. The first chapter, by Makoto Maejima, surveys representations of the main sub-classes of infinitesimal distributions in terms of mappings of certain Lévy processes via stochastic integration. The second chapter, by Lars Nørvang Andersen, Søren Asmussen, Peter W. Glynn and Mats Pihlsgård, concerns Lévy processes reflected at two barriers, where reflection is formulated à la Skorokhod. These processes can be used to model systems with a finite capacity, which is crucial in many real life situations, a most important quantity being the overflow or the loss occurring at the upper barrier. If a process is killed when crossing the boundary, a natural question concerns its lifetime. Deep formulas from fluctuation theory are the key to many classical results, which are reviewed in the third chapter by Frank Aurzada and Thomas Simon. The main part, however, discusses recent advances and developments in the setting where the process is given either by the partial sum of a random walk or the integral of a Lévy process.


Book Synopsis Lévy Matters V by : Lars Nørvang Andersen

Download or read book Lévy Matters V written by Lars Nørvang Andersen and published by Springer. This book was released on 2015-10-24 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This three-chapter volume concerns the distributions of certain functionals of Lévy processes. The first chapter, by Makoto Maejima, surveys representations of the main sub-classes of infinitesimal distributions in terms of mappings of certain Lévy processes via stochastic integration. The second chapter, by Lars Nørvang Andersen, Søren Asmussen, Peter W. Glynn and Mats Pihlsgård, concerns Lévy processes reflected at two barriers, where reflection is formulated à la Skorokhod. These processes can be used to model systems with a finite capacity, which is crucial in many real life situations, a most important quantity being the overflow or the loss occurring at the upper barrier. If a process is killed when crossing the boundary, a natural question concerns its lifetime. Deep formulas from fluctuation theory are the key to many classical results, which are reviewed in the third chapter by Frank Aurzada and Thomas Simon. The main part, however, discusses recent advances and developments in the setting where the process is given either by the partial sum of a random walk or the integral of a Lévy process.

Lévy Matters III

Lévy Matters III

Author: Björn Böttcher

Publisher: Springer

Published: 2014-01-16

Total Pages: 199

ISBN-13: 3319026844

DOWNLOAD EBOOK

This volume presents recent developments in the area of Lévy-type processes and more general stochastic processes that behave locally like a Lévy process. Although written in a survey style, quite a few results are extensions of known theorems, and others are completely new. The focus is on the symbol of a Lévy-type process: a non-random function which is a counterpart of the characteristic exponent of a Lévy process. The class of stochastic processes which can be associated with a symbol is characterized, various schemes constructing a stochastic process from a given symbol are discussed, and it is shown how one can use the symbol in order to describe the sample path properties of the underlying process. Lastly, the symbol is used to approximate and simulate Levy-type processes. This is the third volume in a subseries of the Lecture Notes in Mathematics called Lévy Matters. Each volume describes a number of important topics in the theory or applications of Lévy processes and pays tribute to the state of the art of this rapidly evolving subject with special emphasis on the non-Brownian world.


Book Synopsis Lévy Matters III by : Björn Böttcher

Download or read book Lévy Matters III written by Björn Böttcher and published by Springer. This book was released on 2014-01-16 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents recent developments in the area of Lévy-type processes and more general stochastic processes that behave locally like a Lévy process. Although written in a survey style, quite a few results are extensions of known theorems, and others are completely new. The focus is on the symbol of a Lévy-type process: a non-random function which is a counterpart of the characteristic exponent of a Lévy process. The class of stochastic processes which can be associated with a symbol is characterized, various schemes constructing a stochastic process from a given symbol are discussed, and it is shown how one can use the symbol in order to describe the sample path properties of the underlying process. Lastly, the symbol is used to approximate and simulate Levy-type processes. This is the third volume in a subseries of the Lecture Notes in Mathematics called Lévy Matters. Each volume describes a number of important topics in the theory or applications of Lévy processes and pays tribute to the state of the art of this rapidly evolving subject with special emphasis on the non-Brownian world.

Lévy Matters I

Lévy Matters I

Author: Thomas Duquesne

Publisher: Springer Science & Business Media

Published: 2010-09-05

Total Pages: 216

ISBN-13: 3642140068

DOWNLOAD EBOOK

Focusing on the breadth of the topic, this volume explores Lévy processes and applications, and presents the state-of-the-art in this evolving area of study. These expository articles help to disseminate important theoretical and applied research to those studying the field.


Book Synopsis Lévy Matters I by : Thomas Duquesne

Download or read book Lévy Matters I written by Thomas Duquesne and published by Springer Science & Business Media. This book was released on 2010-09-05 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focusing on the breadth of the topic, this volume explores Lévy processes and applications, and presents the state-of-the-art in this evolving area of study. These expository articles help to disseminate important theoretical and applied research to those studying the field.

Lévy Matters IV

Lévy Matters IV

Author: Denis Belomestny

Publisher: Springer

Published: 2014-12-05

Total Pages: 286

ISBN-13: 3319123734

DOWNLOAD EBOOK

The aim of this volume is to provide an extensive account of the most recent advances in statistics for discretely observed Lévy processes. These days, statistics for stochastic processes is a lively topic, driven by the needs of various fields of application, such as finance, the biosciences, and telecommunication. The three chapters of this volume are completely dedicated to the estimation of Lévy processes, and are written by experts in the field. The first chapter by Denis Belomestny and Markus Reiß treats the low frequency situation, and estimation methods are based on the empirical characteristic function. The second chapter by Fabienne Comte and Valery Genon-Catalon is dedicated to non-parametric estimation mainly covering the high-frequency data case. A distinctive feature of this part is the construction of adaptive estimators, based on deconvolution or projection or kernel methods. The last chapter by Hiroki Masuda considers the parametric situation. The chapters cover the main aspects of the estimation of discretely observed Lévy processes, when the observation scheme is regular, from an up-to-date viewpoint.


Book Synopsis Lévy Matters IV by : Denis Belomestny

Download or read book Lévy Matters IV written by Denis Belomestny and published by Springer. This book was released on 2014-12-05 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this volume is to provide an extensive account of the most recent advances in statistics for discretely observed Lévy processes. These days, statistics for stochastic processes is a lively topic, driven by the needs of various fields of application, such as finance, the biosciences, and telecommunication. The three chapters of this volume are completely dedicated to the estimation of Lévy processes, and are written by experts in the field. The first chapter by Denis Belomestny and Markus Reiß treats the low frequency situation, and estimation methods are based on the empirical characteristic function. The second chapter by Fabienne Comte and Valery Genon-Catalon is dedicated to non-parametric estimation mainly covering the high-frequency data case. A distinctive feature of this part is the construction of adaptive estimators, based on deconvolution or projection or kernel methods. The last chapter by Hiroki Masuda considers the parametric situation. The chapters cover the main aspects of the estimation of discretely observed Lévy processes, when the observation scheme is regular, from an up-to-date viewpoint.

Reports of Cases Heard and Determined in the Appellate Division of the Supreme Court of the State of New York

Reports of Cases Heard and Determined in the Appellate Division of the Supreme Court of the State of New York

Author: New York (State). Supreme Court. Appellate Division

Publisher:

Published: 1910

Total Pages: 1078

ISBN-13:

DOWNLOAD EBOOK


Book Synopsis Reports of Cases Heard and Determined in the Appellate Division of the Supreme Court of the State of New York by : New York (State). Supreme Court. Appellate Division

Download or read book Reports of Cases Heard and Determined in the Appellate Division of the Supreme Court of the State of New York written by New York (State). Supreme Court. Appellate Division and published by . This book was released on 1910 with total page 1078 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Reports of cases heard and determined in the Appellate Division of the Supreme Court of the State of New York

Reports of cases heard and determined in the Appellate Division of the Supreme Court of the State of New York

Author:

Publisher:

Published: 1922

Total Pages: 1172

ISBN-13:

DOWNLOAD EBOOK


Book Synopsis Reports of cases heard and determined in the Appellate Division of the Supreme Court of the State of New York by :

Download or read book Reports of cases heard and determined in the Appellate Division of the Supreme Court of the State of New York written by and published by . This book was released on 1922 with total page 1172 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Lévy Matters VI

Lévy Matters VI

Author: Franziska Kühn

Publisher: Springer

Published: 2017-10-05

Total Pages: 245

ISBN-13: 3319608886

DOWNLOAD EBOOK

Presenting some recent results on the construction and the moments of Lévy-type processes, the focus of this volume is on a new existence theorem, which is proved using a parametrix construction. Applications range from heat kernel estimates for a class of Lévy-type processes to existence and uniqueness theorems for Lévy-driven stochastic differential equations with Hölder continuous coefficients. Moreover, necessary and sufficient conditions for the existence of moments of Lévy-type processes are studied and some estimates on moments are derived. Lévy-type processes behave locally like Lévy processes but, in contrast to Lévy processes, they are not homogeneous in space. Typical examples are processes with varying index of stability and solutions of Lévy-driven stochastic differential equations. This is the sixth volume in a subseries of the Lecture Notes in Mathematics called Lévy Matters. Each volume describes a number of important topics in the theory or applications of Lévy processes and pays tribute to the state of the art of this rapidly evolving subject, with special emphasis on the non-Brownian world.


Book Synopsis Lévy Matters VI by : Franziska Kühn

Download or read book Lévy Matters VI written by Franziska Kühn and published by Springer. This book was released on 2017-10-05 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting some recent results on the construction and the moments of Lévy-type processes, the focus of this volume is on a new existence theorem, which is proved using a parametrix construction. Applications range from heat kernel estimates for a class of Lévy-type processes to existence and uniqueness theorems for Lévy-driven stochastic differential equations with Hölder continuous coefficients. Moreover, necessary and sufficient conditions for the existence of moments of Lévy-type processes are studied and some estimates on moments are derived. Lévy-type processes behave locally like Lévy processes but, in contrast to Lévy processes, they are not homogeneous in space. Typical examples are processes with varying index of stability and solutions of Lévy-driven stochastic differential equations. This is the sixth volume in a subseries of the Lecture Notes in Mathematics called Lévy Matters. Each volume describes a number of important topics in the theory or applications of Lévy processes and pays tribute to the state of the art of this rapidly evolving subject, with special emphasis on the non-Brownian world.

New York Table of Cases and Analyzed Citations of the Decisions of the Courts of New York

New York Table of Cases and Analyzed Citations of the Decisions of the Courts of New York

Author: Charles Ray Kreidler

Publisher:

Published: 1913

Total Pages: 874

ISBN-13:

DOWNLOAD EBOOK


Book Synopsis New York Table of Cases and Analyzed Citations of the Decisions of the Courts of New York by : Charles Ray Kreidler

Download or read book New York Table of Cases and Analyzed Citations of the Decisions of the Courts of New York written by Charles Ray Kreidler and published by . This book was released on 1913 with total page 874 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Reports of Cases Heard and Determined in the Appellate Division of the Supreme Court of the State of New York

Reports of Cases Heard and Determined in the Appellate Division of the Supreme Court of the State of New York

Author: New York (State). Supreme Court. Appellate Division

Publisher:

Published: 1941

Total Pages: 1292

ISBN-13:

DOWNLOAD EBOOK


Book Synopsis Reports of Cases Heard and Determined in the Appellate Division of the Supreme Court of the State of New York by : New York (State). Supreme Court. Appellate Division

Download or read book Reports of Cases Heard and Determined in the Appellate Division of the Supreme Court of the State of New York written by New York (State). Supreme Court. Appellate Division and published by . This book was released on 1941 with total page 1292 pages. Available in PDF, EPUB and Kindle. Book excerpt:

New York Estates and Surrogates

New York Estates and Surrogates

Author: Frank Hubbard Twyeffort

Publisher:

Published: 1924

Total Pages: 1192

ISBN-13:

DOWNLOAD EBOOK


Book Synopsis New York Estates and Surrogates by : Frank Hubbard Twyeffort

Download or read book New York Estates and Surrogates written by Frank Hubbard Twyeffort and published by . This book was released on 1924 with total page 1192 pages. Available in PDF, EPUB and Kindle. Book excerpt: