Refined Large Deviation Limit Theorems

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Publisher :
ISBN 13 : 9781003417033
Total Pages : 0 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Refined Large Deviation Limit Theorems by : Vladimir Vinogradov

Download or read book Refined Large Deviation Limit Theorems written by Vladimir Vinogradov and published by . This book was released on 2019 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a developing area of modern probability theory, which has applications in many areas. This volume is devoted to the systematic study of results on large deviations in situations where Cramr's condition on the finiteness of exponential moments may not be satisfied

Refined Large Deviation Limit Theorems

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Publisher : CRC Press
ISBN 13 : 100094834X
Total Pages : 228 pages
Book Rating : 4.0/5 (9 download)

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Book Synopsis Refined Large Deviation Limit Theorems by : Vladimir Vinogradov

Download or read book Refined Large Deviation Limit Theorems written by Vladimir Vinogradov and published by CRC Press. This book was released on 2023-06-14 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a developing area of modern probability theory, which has applications in many areas. This volume is devoted to the systematic study of results on large deviations in situations where Cramér's condition on the finiteness of exponential moments may not be satisfied

Large Deviations

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821844359
Total Pages : 164 pages
Book Rating : 4.8/5 (443 download)

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Book Synopsis Large Deviations by : Frank Hollander

Download or read book Large Deviations written by Frank Hollander and published by American Mathematical Soc.. This book was released on 2000 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offers an introduction to large deviations. This book is divided into two parts: theory and applications. It presents basic large deviation theorems for i i d sequences, Markov sequences, and sequences with moderate dependence. It also includes an outline of general definitions and theorems.

Modeling Uncertainty

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Publisher : Springer
ISBN 13 : 0306481022
Total Pages : 770 pages
Book Rating : 4.3/5 (64 download)

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Book Synopsis Modeling Uncertainty by : Moshe Dror

Download or read book Modeling Uncertainty written by Moshe Dror and published by Springer. This book was released on 2019-11-05 with total page 770 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modeling Uncertainty: An Examination of Stochastic Theory, Methods, and Applications, is a volume undertaken by the friends and colleagues of Sid Yakowitz in his honor. Fifty internationally known scholars have collectively contributed 30 papers on modeling uncertainty to this volume. Each of these papers was carefully reviewed and in the majority of cases the original submission was revised before being accepted for publication in the book. The papers cover a great variety of topics in probability, statistics, economics, stochastic optimization, control theory, regression analysis, simulation, stochastic programming, Markov decision process, application in the HIV context, and others. There are papers with a theoretical emphasis and others that focus on applications. A number of papers survey the work in a particular area and in a few papers the authors present their personal view of a topic. It is a book with a considerable number of expository articles, which are accessible to a nonexpert - a graduate student in mathematics, statistics, engineering, and economics departments, or just anyone with some mathematical background who is interested in a preliminary exposition of a particular topic. Many of the papers present the state of the art of a specific area or represent original contributions which advance the present state of knowledge. In sum, it is a book of considerable interest to a broad range of academic researchers and students of stochastic systems.

Pseudo-Regularly Varying Functions and Generalized Renewal Processes

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Publisher : Springer
ISBN 13 : 3319995375
Total Pages : 482 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Pseudo-Regularly Varying Functions and Generalized Renewal Processes by : Valeriĭ V. Buldygin

Download or read book Pseudo-Regularly Varying Functions and Generalized Renewal Processes written by Valeriĭ V. Buldygin and published by Springer. This book was released on 2018-10-12 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the main aims of this book is to exhibit some fruitful links between renewal theory and regular variation of functions. Applications of renewal processes play a key role in actuarial and financial mathematics as well as in engineering, operations research and other fields of applied mathematics. On the other hand, regular variation of functions is a property that features prominently in many fields of mathematics. The structure of the book reflects the historical development of the authors’ research work and approach – first some applications are discussed, after which a basic theory is created, and finally further applications are provided. The authors present a generalized and unified approach to the asymptotic behavior of renewal processes, involving cases of dependent inter-arrival times. This method works for other important functionals as well, such as first and last exit times or sojourn times (also under dependencies), and it can be used to solve several other problems. For example, various applications in function analysis concerning Abelian and Tauberian theorems can be studied as well as those in studies of the asymptotic behavior of solutions of stochastic differential equations. The classes of functions that are investigated and used in a probabilistic context extend the well-known Karamata theory of regularly varying functions and thus are also of interest in the theory of functions. The book provides a rigorous treatment of the subject and may serve as an introduction to the field. It is aimed at researchers and students working in probability, the theory of stochastic processes, operations research, mathematical statistics, the theory of functions, analytic number theory and complex analysis, as well as economists with a mathematical background. Readers should have completed introductory courses in analysis and probability theory.

Probability, Finance and Insurance

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Publisher : World Scientific
ISBN 13 : 9812702717
Total Pages : 253 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Probability, Finance and Insurance by : T. L. Lai

Download or read book Probability, Finance and Insurance written by T. L. Lai and published by World Scientific. This book was released on 2004 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: This workshop was the first of its kind in bringing together researchers in probability theory, stochastic processes, insurance and finance from mainland China, Taiwan, Hong Kong, Singapore, Australia and the United States. In particular, as China has joined the WTO, there is a growing demand for expertise in actuarial sciences and quantitative finance. The strong probability research and graduate education programs in many of China's universities can be enriched by their outreach in fields that are of growing importance to the country's expanding economy, and the workshop and its proceedings can be regarded as the first step in this direction. This book presents the most recent developments in probability, finance and actuarial sciences, especially in Chinese probability research. It focuses on the integration of probability theory with applications in finance and insurance. It also brings together academic researchers and those in industry and government. With contributions by leading authorities on probability theory OCo particularly limit theory and large derivations, valuation of credit derivatives, portfolio selection, dynamic protection and ruin theory OCo it is an essential source of ideas and information for graduate students and researchers in probability theory, mathematical finance and actuarial sciences, and thus every university should acquire a copy. The proceedings have been selected for coverage in: . OCo Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings). OCo Index to Social Sciences & Humanities Proceedings- (ISSHP- / ISI Proceedings). OCo Index to Social Sciences & Humanities Proceedings (ISSHP CDROM version / ISI Proceedings). OCo CC Proceedings OCo Engineering & Physical Sciences. Contents: Limit Theorems for Moving Averages (T L Lai); On Large Deviations for Moving Average Processes (L Wu); Recent Progress on Self-Normalized Limit Theorems (Q-M Shao); Limit Theorems for Independent Self-Normalized Sums (B-Y Jing); Phase Changes in Random Recursive Structures and Algorithms (H-K Hwang); JohnsonOCoMehl Tessellations: Asymptotics and Inferences (S N Chiu); Rapid Simulation of Correlated Defaults and the Valuation of Basket Default Swaps (Z Zhang et al.); Dynamic Protection with Optimal Withdrawal (H U Gerber & E S W Shiu); Ruin Probability for a Model Under Markovian Switching Regime (H Yang & G Yin); and other papers. Readership: Researchers and graduate students in probability and statistics."

Probability, Finance And Insurance, Proceedings Of A Workshop

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Publisher : World Scientific
ISBN 13 : 9814482617
Total Pages : 252 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Probability, Finance And Insurance, Proceedings Of A Workshop by : Siu Pang Yung

Download or read book Probability, Finance And Insurance, Proceedings Of A Workshop written by Siu Pang Yung and published by World Scientific. This book was released on 2004-06-28 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: This workshop was the first of its kind in bringing together researchers in probability theory, stochastic processes, insurance and finance from mainland China, Taiwan, Hong Kong, Singapore, Australia and the United States. In particular, as China has joined the WTO, there is a growing demand for expertise in actuarial sciences and quantitative finance. The strong probability research and graduate education programs in many of China's universities can be enriched by their outreach in fields that are of growing importance to the country's expanding economy, and the workshop and its proceedings can be regarded as the first step in this direction.This book presents the most recent developments in probability, finance and actuarial sciences, especially in Chinese probability research. It focuses on the integration of probability theory with applications in finance and insurance. It also brings together academic researchers and those in industry and government. With contributions by leading authorities on probability theory — particularly limit theory and large derivations, valuation of credit derivatives, portfolio selection, dynamic protection and ruin theory — it is an essential source of ideas and information for graduate students and researchers in probability theory, mathematical finance and actuarial sciences, and thus every university should acquire a copy.The proceedings have been selected for coverage in:• Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)• Index to Social Sciences & Humanities Proceedings® (ISSHP® / ISI Proceedings)• Index to Social Sciences & Humanities Proceedings (ISSHP CDROM version / ISI Proceedings)• CC Proceedings — Engineering & Physical Sciences

Modelling Extremal Events

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540609315
Total Pages : 672 pages
Book Rating : 4.6/5 (93 download)

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Book Synopsis Modelling Extremal Events by : Paul Embrechts

Download or read book Modelling Extremal Events written by Paul Embrechts and published by Springer Science & Business Media. This book was released on 2013-01-02 with total page 672 pages. Available in PDF, EPUB and Kindle. Book excerpt: "A reader's first impression on leafing through this book is of the large number of graphs and diagrams, used to illustrate shapes of distributions...and to show real data examples in various ways. A closer reading reveals a nice mix of theory and applications, with the copious graphical illustrations alluded to. Such a mixture is of course dear to the heart of the applied probabilist/statistician, and should impress even the most ardent theorists." --MATHEMATICAL REVIEWS

A Practical Guide to Heavy Tails

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Publisher : Springer Science & Business Media
ISBN 13 : 9780817639518
Total Pages : 560 pages
Book Rating : 4.6/5 (395 download)

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Book Synopsis A Practical Guide to Heavy Tails by : Robert Adler

Download or read book A Practical Guide to Heavy Tails written by Robert Adler and published by Springer Science & Business Media. This book was released on 1998-10-26 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: Twenty-four contributions, intended for a wide audience from various disciplines, cover a variety of applications of heavy-tailed modeling involving telecommunications, the Web, insurance, and finance. Along with discussion of specific applications are several papers devoted to time series analysis, regression, classical signal/noise detection problems, and the general structure of stable processes, viewed from a modeling standpoint. Emphasis is placed on developments in handling the numerical problems associated with stable distribution (a main technical difficulty until recently). No index. Annotation copyrighted by Book News, Inc., Portland, OR

Advances on Theoretical and Methodological Aspects of Probability and Statistics

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Publisher : CRC Press
ISBN 13 : 9780203493205
Total Pages : 562 pages
Book Rating : 4.4/5 (932 download)

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Book Synopsis Advances on Theoretical and Methodological Aspects of Probability and Statistics by : N. Balakrishnan

Download or read book Advances on Theoretical and Methodological Aspects of Probability and Statistics written by N. Balakrishnan and published by CRC Press. This book was released on 2003-04-24 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: At the International Indian Statistical Association Conference, held at McMaster University in Ontario, Canada, participants focused on advancements in theory and methodology of probability and statistics. This is one of two volumes containing invited papers from the meeting. The 32 chapters deal with different topics of interest, including stochastic processes and inference, distributions and characterizations, inference, Bayesian inference, selection methods, regression methods, and methods in health research. The text is ideal for applied mathematicians, statisticians, and researchers in the field.

Mathematical Reviews

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Publisher :
ISBN 13 :
Total Pages : 964 pages
Book Rating : 4.X/5 (6 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2002 with total page 964 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Universal Theory for Strong Limit Theorems of Probability

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Publisher : World Scientific Publishing Company
ISBN 13 : 9789811212826
Total Pages : 0 pages
Book Rating : 4.2/5 (128 download)

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Book Synopsis Universal Theory for Strong Limit Theorems of Probability by : Andrei N. Frolov

Download or read book Universal Theory for Strong Limit Theorems of Probability written by Andrei N. Frolov and published by World Scientific Publishing Company. This book was released on 2020 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Strong laws and large deviations -- Large deviations for sums of independent random variables -- Strong limit theorems for sums of independent random variables -- Strong limit theorems for processes with independent increments -- Strong limit theorems for renewal processes -- Increments of sums of independent random variables over head runs and monotone blocks.

Hyperbolic Dynamics, Fluctuations and Large Deviations

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Publisher : American Mathematical Soc.
ISBN 13 : 1470411121
Total Pages : 354 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Hyperbolic Dynamics, Fluctuations and Large Deviations by : D. Dolgopyat

Download or read book Hyperbolic Dynamics, Fluctuations and Large Deviations written by D. Dolgopyat and published by American Mathematical Soc.. This book was released on 2015-04-01 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the semester-long special program on Hyperbolic Dynamics, Large Deviations and Fluctuations, which was held from January-June 2013, at the Centre Interfacultaire Bernoulli, École Polytechnique Fédérale de Lausanne, Switzerland. The broad theme of the program was the long-term behavior of dynamical systems and their statistical behavior. During the last 50 years, the statistical properties of dynamical systems of many different types have been the subject of extensive study in statistical mechanics and thermodynamics, ergodic and probability theories, and some areas of mathematical physics. The results of this study have had a profound effect on many different areas in mathematics, physics, engineering and biology. The papers in this volume cover topics in large deviations and thermodynamics formalism and limit theorems for dynamic systems. The material presented is primarily directed at researchers and graduate students in the very broad area of dynamical systems and ergodic theory, but will also be of interest to researchers in related areas such as statistical physics, spectral theory and some aspects of number theory and geometry.

Local Limit Theorems for Inhomogeneous Markov Chains

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Publisher : Springer Nature
ISBN 13 : 3031326016
Total Pages : 348 pages
Book Rating : 4.0/5 (313 download)

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Book Synopsis Local Limit Theorems for Inhomogeneous Markov Chains by : Dmitry Dolgopyat

Download or read book Local Limit Theorems for Inhomogeneous Markov Chains written by Dmitry Dolgopyat and published by Springer Nature. This book was released on 2023-07-31 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book extends the local central limit theorem to Markov chains whose state spaces and transition probabilities are allowed to change in time. Such chains are used to model Markovian systems depending on external time-dependent parameters. The book develops a new general theory of local limit theorems for additive functionals of Markov chains, in the regimes of local, moderate, and large deviations, and provides nearly optimal conditions for the classical expansions, as well as asymptotic corrections when these conditions fail. Applications include local limit theorems for independent but not identically distributed random variables, Markov chains in random environments, and time-dependent perturbations of homogeneous Markov chains. The inclusion of appendices with background material, numerous examples, and an account of the historical background of the subject make this self-contained book accessible to graduate students. It will also be useful for researchers in probability and ergodic theory who are interested in asymptotic behaviors, Markov chains in random environments, random dynamical systems and non-stationary systems.

Advances in Heavy Tailed Risk Modeling

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Publisher : John Wiley & Sons
ISBN 13 : 1118909534
Total Pages : 667 pages
Book Rating : 4.1/5 (189 download)

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Book Synopsis Advances in Heavy Tailed Risk Modeling by : Gareth W. Peters

Download or read book Advances in Heavy Tailed Risk Modeling written by Gareth W. Peters and published by John Wiley & Sons. This book was released on 2015-05-26 with total page 667 pages. Available in PDF, EPUB and Kindle. Book excerpt: ADVANCES IN HEAVY TAILED RISK MODELING A cutting-edge guide for the theories, applications, and statistical methodologies essential to heavy tailed risk modeling Focusing on the quantitative aspects of heavy tailed loss processes in operational risk and relevant insurance analytics, Advances in Heavy Tailed Risk Modeling: A Handbook of Operational Risk presents comprehensive coverage of the latest research on the theories and applications in risk measurement and modeling techniques. Featuring a unique balance of mathematical and statistical perspectives, the handbook begins by introducing the motivation for heavy tailed risk processes. A companion with Fundamental Aspects of Operational Risk and Insurance Analytics: A Handbook of Operational Risk, the handbook provides a complete framework for all aspects of operational risk management and includes: Clear coverage on advanced topics such as splice loss models, extreme value theory, heavy tailed closed form loss distribution approach models, flexible heavy tailed risk models, risk measures, and higher order asymptotic approximations of risk measures for capital estimation An exploration of the characterization and estimation of risk and insurance modeling, which includes sub-exponential models, alpha-stable models, and tempered alpha stable models An extended discussion of the core concepts of risk measurement and capital estimation as well as the details on numerical approaches to evaluation of heavy tailed loss process model capital estimates Numerous detailed examples of real-world methods and practices of operational risk modeling used by both financial and non-financial institutions Advances in Heavy Tailed Risk Modeling: A Handbook of Operational Risk is an excellent reference for risk management practitioners, quantitative analysts, financial engineers, and risk managers. The handbook is also useful for graduate-level courses on heavy tailed processes, advanced risk management, and actuarial science.

Interacting Stochastic Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540230335
Total Pages : 470 pages
Book Rating : 4.2/5 (33 download)

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Book Synopsis Interacting Stochastic Systems by : Jean-Dominique Deuschel

Download or read book Interacting Stochastic Systems written by Jean-Dominique Deuschel and published by Springer Science & Business Media. This book was released on 2005-01-12 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Research Network on "Interacting stochastic systems of high complexity" set up by the German Research Foundation aimed at exploring and developing connections between research in infinite-dimensional stochastic analysis, statistical physics, spatial population models from mathematical biology, complex models of financial markets or of stochastic models interacting with other sciences. This book presents a structured collection of papers on the core topics, written at the close of the 6-year programme by the research groups who took part in it. The structure chosen highlights the interweaving of certain themes and certain interconnections discovered through the joint work. This yields a reference work on results and methods that will be useful to all who work between applied probability and the physical, economic, and life sciences.

Israel Mathematical Conference Proceedings

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Publisher :
ISBN 13 :
Total Pages : 500 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Israel Mathematical Conference Proceedings by :

Download or read book Israel Mathematical Conference Proceedings written by and published by . This book was released on 1996 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: