Holdings: Fluctuations of Lévy processes with applications

Fluctuations of Lévy processes with applications: introductory lectures

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Bibliographic Details
Main Author:	Kyprianou, Andreas E. (Author)
Format:	Electronic eBook
Language:	English
Published:	Heidelberg [u.a.] Springer 2014
Edition:	2. ed.
Series:	Universitext
Subjects:	Lévy processes Stochastic processes Lévy-Prozess Fluktuation
Online Access:	BTU01 FRO01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract
Item Description:	1. Aufl. u.d.T.: Kyprianou, Andreas E.: Introductory lectures on fluctuations of Lévy processes with applications
Physical Description:	1 Online-Ressource (XVIII, 455 S.)
ISBN:	9783642376320
DOI:	10.1007/978-3-642-37632-0

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Record in the Search Index

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adam_text	FLUCTUATIONS OF LEVY PROCESSES WITH APPLICATIONS / KYPRIANOU, ANDREAS E. : 2014 TABLE OF CONTENTS / INHALTSVERZEICHNIS LEVY PROCESSES AND APPLICATIONS THE LEVY–ITO DECOMPOSITION AND PATH STRUCTURE MORE DISTRIBUTIONAL AND PATH-RELATED PROPERTIES GENERAL STORAGE MODELS AND PATHS OF BOUNDED VARIATION SUBORDINATORS AT FIRST PASSAGE AND RENEWAL MEASURES THE WIENER–HOPF FACTORISATION LEVY PROCESSES AT FIRST PASSAGE EXIT PROBLEMS FOR SPECTRALLY NEGATIVE PROCESSES MORE ON SCALE FUNCTIONS RUIN PROBLEMS AND GERBER-SHIU THEORY APPLICATIONS TO OPTIMAL STOPPING PROBLEMS CONTINUOUS-STATE BRANCHING PROCESSES POSITIVE SELF-SIMILAR MARKOV PROCESSES EPILOGUE HINTS FOR EXERCISES REFERENCES INDEX DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. FLUCTUATIONS OF LEVY PROCESSES WITH APPLICATIONS / KYPRIANOU, ANDREAS E. : 2014 ABSTRACT / INHALTSTEXT LEVY PROCESSES ARE THE NATURAL CONTINUOUS-TIME ANALOGUE OF RANDOM WALKS AND FORM A RICH CLASS OF STOCHASTIC PROCESSES AROUND WHICH A ROBUST MATHEMATICAL THEORY EXISTS. THEIR APPLICATION APPEARS IN THE THEORY OF MANY AREAS OF CLASSICAL AND MODERN STOCHASTIC PROCESSES INCLUDING STORAGE MODELS, RENEWAL PROCESSES, INSURANCE RISK MODELS, OPTIMAL STOPPING PROBLEMS, MATHEMATICAL FINANCE, CONTINUOUS-STATE BRANCHING PROCESSES AND POSITIVE SELF-SIMILAR MARKOV PROCESSES. THIS TEXTBOOK IS BASED ON A SERIES OF GRADUATE COURSES CONCERNING THE THEORY AND APPLICATION OF LEVY PROCESSES FROM THE PERSPECTIVE OF THEIR PATH FLUCTUATIONS. CENTRAL TO THE PRESENTATION IS THE DECOMPOSITION OF PATHS IN TERMS OF EXCURSIONS FROM THE RUNNING MAXIMUM AS WELL AS AN UNDERSTANDING OF SHORT- AND LONG-TERM BEHAVIOUR. THE BOOK AIMS TO BE MATHEMATICALLY RIGOROUS WHILE STILL PROVIDING AN INTUITIVE FEEL FOR UNDERLYING PRINCIPLES.THE RESULTS AND APPLICATIONS OFTEN FOCUS ON THE CASE OF LEVY PROCESSES WITH JUMPS IN ONLY ONE DIRECTION, FOR WHICH RECENT THEORETICAL ADVANCES HAVE YIELDED A HIGHER DEGREE OF MATHEMATICAL TRACTABILITY. THE SECOND EDITION ADDITIONALLY ADDRESSES RECENT DEVELOPMENTS IN THE POTENTIAL ANALYSIS OF SUBORDINATORS, WIENER-HOPF THEORY, THE THEORY OF SCALE FUNCTIONS AND THEIR APPLICATION TO RUIN THEORY, AS WELL AS INCLUDING AN EXTENSIVE OVERVIEW OF THE CLASSICAL AND MODERN THEORY OF POSITIVE SELF-SIMILAR MARKOV PROCESSES. EACH CHAPTER HAS A COMPREHENSIVE SET OF EXERCISES. ANDREAS KYPRIANOU HAS A DEGREE IN MATHEMATICS FROM THE UNIVERSITY OF OXFORD AND A PH.D. IN PROBABILITY THEORY FROM THE UNIVERSITY OF SHEFFIELD.HE IS CURRENTLY A PROFESSOR OF PROBABILITY AT THE UNIVERSITY OF BATH, HAVING HELD ACADEMIC POSITIONS IN MATHEMATICS AND STATISTICS DEPARTMENTS AT THE LONDON SCHOOL OF ECONOMICS, EDINBURGH UNIVERSITY, UTRECHT UNIVERSITY AND HERIOT-WATT UNIVERSITY, BESIDES WORKING FOR NEARLY TWO YEARS AS A RESEARCH MATHEMATICIAN IN THE OIL INDUSTRY. HIS RESEARCH IS FOCUSED ON PURE AND APPLIED PROBABILITY DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
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spelling	Kyprianou, Andreas E. Verfasser (DE-588)1048058662 aut Fluctuations of Lévy processes with applications introductory lectures Andreas E. Kyprianou 2. ed. Heidelberg [u.a.] Springer 2014 1 Online-Ressource (XVIII, 455 S.) txt rdacontent c rdamedia cr rdacarrier Universitext 1. Aufl. u.d.T.: Kyprianou, Andreas E.: Introductory lectures on fluctuations of Lévy processes with applications Lévy processes Stochastic processes Lévy-Prozess (DE-588)4463623-4 gnd rswk-swf Fluktuation (DE-588)4348165-6 gnd rswk-swf Lévy-Prozess (DE-588)4463623-4 s Fluktuation (DE-588)4348165-6 s DE-604 Erscheint auch als Druck-Ausgabe, Paperback 978-3-642-37631-3 https://doi.org/10.1007/978-3-642-37632-0 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027195996&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027195996&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract
spellingShingle	Kyprianou, Andreas E. Fluctuations of Lévy processes with applications introductory lectures Lévy processes Stochastic processes Lévy-Prozess (DE-588)4463623-4 gnd Fluktuation (DE-588)4348165-6 gnd
subject_GND	(DE-588)4463623-4 (DE-588)4348165-6
title	Fluctuations of Lévy processes with applications introductory lectures
title_auth	Fluctuations of Lévy processes with applications introductory lectures
title_exact_search	Fluctuations of Lévy processes with applications introductory lectures
title_full	Fluctuations of Lévy processes with applications introductory lectures Andreas E. Kyprianou
title_fullStr	Fluctuations of Lévy processes with applications introductory lectures Andreas E. Kyprianou
title_full_unstemmed	Fluctuations of Lévy processes with applications introductory lectures Andreas E. Kyprianou
title_short	Fluctuations of Lévy processes with applications
title_sort	fluctuations of levy processes with applications introductory lectures
title_sub	introductory lectures
topic	Lévy processes Stochastic processes Lévy-Prozess (DE-588)4463623-4 gnd Fluktuation (DE-588)4348165-6 gnd
topic_facet	Lévy processes Stochastic processes Lévy-Prozess Fluktuation
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