Ambit Stochastics
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Author |
: Ole E. Barndorff-Nielsen |
Publisher |
: Springer |
Total Pages |
: 418 |
Release |
: 2018-11-01 |
ISBN-10 |
: 9783319941295 |
ISBN-13 |
: 3319941291 |
Rating |
: 4/5 (95 Downloads) |
Synopsis Ambit Stochastics by : Ole E. Barndorff-Nielsen
Drawing on advanced probability theory, Ambit Stochastics is used to model stochastic processes which depend on both time and space. This monograph, the first on the subject, provides a reference for this burgeoning field, complete with the applications that have driven its development. Unique to Ambit Stochastics are ambit sets, which allow the delimitation of space-time to a zone of interest, and ambit fields, which are particularly well-adapted to modelling stochastic volatility or intermittency. These attributes lend themselves notably to applications in the statistical theory of turbulence and financial econometrics. In addition to the theory and applications of Ambit Stochastics, the book also contains new theory on the simulation of ambit fields and a comprehensive stochastic integration theory for Volterra processes in a non-semimartingale context. Written by pioneers in the subject, this book will appeal to researchers and graduate students interested in empirical stochastic modelling.
Author |
: Fred Espen Benth |
Publisher |
: Springer |
Total Pages |
: 362 |
Release |
: 2015-10-23 |
ISBN-10 |
: 9783319234250 |
ISBN-13 |
: 3319234250 |
Rating |
: 4/5 (50 Downloads) |
Synopsis Stochastics of Environmental and Financial Economics by : Fred Espen Benth
These Proceedings offer a selection of peer-reviewed research and survey papers by some of the foremost international researchers in the fields of finance, energy, stochastics and risk, who present their latest findings on topical problems. The papers cover the areas of stochastic modeling in energy and financial markets; risk management with environmental factors from a stochastic control perspective; and valuation and hedging of derivatives in markets dominated by renewables, all of which further develop the theory of stochastic analysis and mathematical finance. The papers were presented at the first conference on “Stochastics of Environmental and Financial Economics (SEFE)”, being part of the activity in the SEFE research group of the Centre of Advanced Study (CAS) at the Academy of Sciences in Oslo, Norway during the 2014/2015 academic year.
Author |
: Jan Kallsen |
Publisher |
: Springer |
Total Pages |
: 508 |
Release |
: 2016-12-01 |
ISBN-10 |
: 9783319458755 |
ISBN-13 |
: 3319458752 |
Rating |
: 4/5 (55 Downloads) |
Synopsis Advanced Modelling in Mathematical Finance by : Jan Kallsen
This Festschrift resulted from a workshop on “Advanced Modelling in Mathematical Finance” held in honour of Ernst Eberlein’s 70th birthday, from 20 to 22 May 2015 in Kiel, Germany. It includes contributions by several invited speakers at the workshop, including several of Ernst Eberlein’s long-standing collaborators and former students. Advanced mathematical techniques play an ever-increasing role in modern quantitative finance. Written by leading experts from academia and financial practice, this book offers state-of-the-art papers on the application of jump processes in mathematical finance, on term-structure modelling, and on statistical aspects of financial modelling. It is aimed at graduate students and researchers interested in mathematical finance, as well as practitioners wishing to learn about the latest developments.
Author |
: Fred Espen Benth |
Publisher |
: Springer Nature |
Total Pages |
: 250 |
Release |
: 2023-11-16 |
ISBN-10 |
: 9783031403675 |
ISBN-13 |
: 3031403673 |
Rating |
: 4/5 (75 Downloads) |
Synopsis Stochastic Models for Prices Dynamics in Energy and Commodity Markets by : Fred Espen Benth
This monograph presents a theory for random field models in time and space, viewed as stochastic processes with values in a Hilbert space, to model the stochastic dynamics of forward and futures prices in energy, power, and commodity markets. In this book, the well-known Heath–Jarrow–Morton approach from interest rate theory is adopted and extended into an infinite-dimensional framework, allowing for flexible modeling of price stochasticity across time and along the term structure curve. Various models are introduced based on stochastic partial differential equations with infinite-dimensional Lévy processes as noise drivers, emphasizing random fields described by low-dimensional parametric covariance functions instead of classical high-dimensional factor models. The Filipović space, a separable Hilbert space of Sobolev type, is found to be a convenient state space for the dynamics of forward and futures term structures. The monograph provides a classification of important operators in this space, covering covariance operators and the stochastic modeling of volatility term structures, including the Samuelson effect. Fourier methods are employed to price many derivatives of interest in energy, power, and commodity markets, and sensitivity 'delta' expressions can be derived. Additionally, the monograph covers forward curve smoothing, the connection between forwards with fixed delivery and delivery period, as well as the classical theory of forward and futures pricing. This monograph will appeal to researchers and graduate students interested in mathematical finance and stochastic analysis applied in the challenging markets of energy, power, and commodities. Practitioners seeking sophisticated yet flexible and analytically tractable risk models will also find it valuable.
Author |
: Ramsés H. Mena |
Publisher |
: Birkhäuser |
Total Pages |
: 288 |
Release |
: 2015-07-17 |
ISBN-10 |
: 9783319139845 |
ISBN-13 |
: 3319139843 |
Rating |
: 4/5 (45 Downloads) |
Synopsis XI Symposium on Probability and Stochastic Processes by : Ramsés H. Mena
This volume features a collection of contributed articles and lecture notes from the XI Symposium on Probability and Stochastic Processes, held at CIMAT Mexico in September 2013. Since the symposium was part of the activities organized in Mexico to celebrate the International Year of Statistics, the program included topics from the interface between statistics and stochastic processes.
Author |
: Volodymyr Korolyuk |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 352 |
Release |
: 2014-01-30 |
ISBN-10 |
: 9783319035123 |
ISBN-13 |
: 3319035126 |
Rating |
: 4/5 (23 Downloads) |
Synopsis Modern Stochastics and Applications by : Volodymyr Korolyuk
This volume presents an extensive overview of all major modern trends in applications of probability and stochastic analysis. It will be a great source of inspiration for designing new algorithms, modeling procedures and experiments. Accessible to researchers, practitioners, as well as graduate and postgraduate students, this volume presents a variety of new tools, ideas and methodologies in the fields of optimization, physics, finance, probability, hydrodynamics, reliability, decision making, mathematical finance, mathematical physics and economics. Contributions to this Work include those of selected speakers from the international conference entitled “Modern Stochastics: Theory and Applications III,” held on September 10 –14, 2012 at Taras Shevchenko National University of Kyiv, Ukraine. The conference covered the following areas of research in probability theory and its applications: stochastic analysis, stochastic processes and fields, random matrices, optimization methods in probability, stochastic models of evolution systems, financial mathematics, risk processes and actuarial mathematics and information security.
Author |
: Ole Barndorff-Nielsen |
Publisher |
: |
Total Pages |
: |
Release |
: 2015 |
ISBN-10 |
: OCLC:1236022258 |
ISBN-13 |
: |
Rating |
: 4/5 (58 Downloads) |
Synopsis Some Recent Developments in Ambit Stochastics by : Ole Barndorff-Nielsen
Author |
: Mark Podolskij |
Publisher |
: Springer |
Total Pages |
: 529 |
Release |
: 2015-12-26 |
ISBN-10 |
: 9783319258263 |
ISBN-13 |
: 3319258265 |
Rating |
: 4/5 (63 Downloads) |
Synopsis The Fascination of Probability, Statistics and their Applications by : Mark Podolskij
Collecting together twenty-three self-contained articles, this volume presents the current research of a number of renowned scientists in both probability theory and statistics as well as their various applications in economics, finance, the physics of wind-blown sand, queueing systems, risk assessment, turbulence and other areas. The contributions are dedicated to and inspired by the research of Ole E. Barndorff-Nielsen who, since the early 1960s, has been and continues to be a very active and influential researcher working on a wide range of important problems. The topics covered include, but are not limited to, econometrics, exponential families, Lévy processes and infinitely divisible distributions, limit theory, mathematical finance, random matrices, risk assessment, statistical inference for stochastic processes, stochastic analysis and optimal control, time series, and turbulence. The book will be of interest to researchers and graduate students in probability, statistics and their applications.
Author |
: René Aïd |
Publisher |
: Springer |
Total Pages |
: 431 |
Release |
: 2015-06-30 |
ISBN-10 |
: 9781493927333 |
ISBN-13 |
: 1493927337 |
Rating |
: 4/5 (33 Downloads) |
Synopsis Commodities, Energy and Environmental Finance by : René Aïd
This volume is a collection of chapters covering the latest developments in applications of financial mathematics and statistics to topics in energy, commodity financial markets and environmental economics. The research presented is based on the presentations and discussions that took place during the Fields Institute Focus Program on Commodities, Energy and Environmental Finance in August 2013. The authors include applied mathematicians, economists and industry practitioners, providing for a multi-disciplinary spectrum of perspectives on the subject. The volume consists of four sections: Electricity Markets; Real Options; Trading in Commodity Markets; and Oligopolistic Models for Energy Production. Taken together, the chapters give a comprehensive summary of the current state of the art in quantitative analysis of commodities and energy finance. The topics covered include structural models of electricity markets, financialization of commodities, valuation of commodity real options, game-theory analysis of exhaustible resource management and analysis of commodity ETFs. The volume also includes two survey articles that provide a source for new researchers interested in getting into these topics.
Author |
: Elena Celledoni |
Publisher |
: Springer |
Total Pages |
: 734 |
Release |
: 2019-01-13 |
ISBN-10 |
: 9783030015930 |
ISBN-13 |
: 3030015939 |
Rating |
: 4/5 (30 Downloads) |
Synopsis Computation and Combinatorics in Dynamics, Stochastics and Control by : Elena Celledoni
The Abel Symposia volume at hand contains a collection of high-quality articles written by the world’s leading experts, and addressing all mathematicians interested in advances in deterministic and stochastic dynamical systems, numerical analysis, and control theory. In recent years we have witnessed a remarkable convergence between individual mathematical disciplines that approach deterministic and stochastic dynamical systems from mathematical analysis, computational mathematics and control theoretical perspectives. Breakthrough developments in these fields now provide a common mathematical framework for attacking many different problems related to differential geometry, analysis and algorithms for stochastic and deterministic dynamics. In the Abel Symposium 2016, which took place from August 16-19 in Rosendal near Bergen, leading researchers in the fields of deterministic and stochastic differential equations, control theory, numerical analysis, algebra and random processes presented and discussed the current state of the art in these diverse fields. The current Abel Symposia volume may serve as a point of departure for exploring these related but diverse fields of research, as well as an indicator of important current and future developments in modern mathematics.