Multifractal Volatility

Multifractal Volatility PDF Author: Laurent E. Calvet
Publisher: Academic Press
ISBN: 0080559964
Category : Business & Economics
Languages : en
Pages : 273

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Book Description
Calvet and Fisher present a powerful, new technique for volatility forecasting that draws on insights from the use of multifractals in the natural sciences and mathematics and provides a unified treatment of the use of multifractal techniques in finance. A large existing literature (e.g., Engle, 1982; Rossi, 1995) models volatility as an average of past shocks, possibly with a noise component. This approach often has difficulty capturing sharp discontinuities and large changes in financial volatility. Their research has shown the advantages of modelling volatility as subject to abrupt regime changes of heterogeneous durations. Using the intuition that some economic phenomena are long-lasting while others are more transient, they permit regimes to have varying degrees of persistence. By drawing on insights from the use of multifractals in the natural sciences and mathematics, they show how to construct high-dimensional regime-switching models that are easy to estimate, and substantially outperform some of the best traditional forecasting models such as GARCH. The goal of Multifractal Volatility is to popularize the approach by presenting these exciting new developments to a wider audience. They emphasize both theoretical and empirical applications, beginning with a style that is easily accessible and intuitive in early chapters, and extending to the most rigorous continuous-time and equilibrium pricing formulations in final chapters. - Presents a powerful new technique for forecasting volatility - Leads the reader intuitively from existing volatility techniques to the frontier of research in this field by top scholars at major universities - The first comprehensive book on multifractal techniques in finance, a cutting-edge field of research

Multifractal Based Network Traffic Modeling

Multifractal Based Network Traffic Modeling PDF Author: Murali Krishna P
Publisher: Springer Science & Business Media
ISBN: 1461504996
Category : Technology & Engineering
Languages : en
Pages : 223

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Book Description
This helpful book provides an overview of existing broadband traffic modelling based on the Poisson process and its variants. It also offers very good coverage of models based on self-similar processes. The authors have focused throughout on the problem of broadband traffic modelling.

Multifractal Detrended Analysis Method and Its Application in Financial Markets

Multifractal Detrended Analysis Method and Its Application in Financial Markets PDF Author: Guangxi Cao
Publisher: Springer
ISBN: 9811079161
Category : Business & Economics
Languages : en
Pages : 258

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Book Description
This book collects high-quality papers on the latest fundamental advances in the state of Econophysics and Management Science, providing insights that address problems concerning the international economy, social development and economic security. This book applies the multi-fractal detrended class method, and improves the method with different filters. The authors apply those methods to a variety of areas: financial markets, energy markets, gold market and so on. This book is arguably a systematic research and summary of various kinds of multi-fractal detrended methods. Furthermore, it puts forward some investment suggestions on a healthy development of financial markets.

Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics II

Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics II PDF Author: David Carfi
Publisher: American Mathematical Soc.
ISBN: 0821891480
Category : Mathematics
Languages : en
Pages : 384

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Book Description
This volume contains the proceedings from three conferences: the PISRS 2011 International Conference on Analysis, Fractal Geometry, Dynamical Systems and Economics, held November 8-12, 2011 in Messina, Italy; the AMS Special Session on Fractal Geometry in Pure and Applied Mathematics, in memory of BenoƮt Mandelbrot, held January 4-7, 2012, in Boston, MA; and the AMS Special Session on Geometry and Analysis on Fractal Spaces, held March 3-4, 2012, in Honolulu, HI. Articles in this volume cover fractal geometry and various aspects of dynamical systems in applied mathematics and the applications to other sciences. Also included are articles discussing a variety of connections between these subjects and various areas of physics, engineering, computer science, technology, economics and finance, as well as of mathematics (including probability theory in relation with statistical physics and heat kernel estimates, geometric measure theory, partial differential equations in relation with condensed matter physics, global analysis on non-smooth spaces, the theory of billiards, harmonic analysis and spectral geometry). The companion volume (Contemporary Mathematics, Volume 600) focuses on the more mathematical aspects of fractal geometry and dynamical systems.

The Oxford Handbook of Computational Economics and Finance

The Oxford Handbook of Computational Economics and Finance PDF Author: Shu-Heng Chen
Publisher: Oxford University Press
ISBN: 0199844380
Category : Business & Economics
Languages : en
Pages : 785

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Book Description
The Oxford Handbook of Computational Economics and Finance provides a survey of both the foundations of and recent advances in the frontiers of analysis and action. It is both historically and interdisciplinarily rich and also tightly connected to the rise of digital society. It begins with the conventional view of computational economics, including recent algorithmic development in computing rational expectations, volatility, and general equilibrium. It then moves from traditional computing in economics and finance to recent developments in natural computing, including applications of nature-inspired intelligence, genetic programming, swarm intelligence, and fuzzy logic. Also examined are recent developments of network and agent-based computing in economics. How these approaches are applied is examined in chapters on such subjects as trading robots and automated markets. The last part deals with the epistemology of simulation in its trinity form with the integration of simulation, computation, and dynamics. Distinctive is the focus on natural computationalism and the examination of the implications of intelligent machines for the future of computational economics and finance. Not merely individual robots, but whole integrated systems are extending their "immigration" to the world of Homo sapiens, or symbiogenesis.

Missing Data Methods

Missing Data Methods PDF Author: David M. Drukker
Publisher: Emerald Group Publishing
ISBN: 1780525265
Category : Business & Economics
Languages : en
Pages : 262

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Book Description
Part of the "Advances in Econometrics" series, this title contains chapters covering topics such as: Missing-Data Imputation in Nonstationary Panel Data Models; Markov Switching Models in Empirical Finance; Bayesian Analysis of Multivariate Sample Selection Models Using Gaussian Copulas; and, Consistent Estimation and Orthogonality.

Select Topics of Econophysics

Select Topics of Econophysics PDF Author: Amit Sinha
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110987589
Category : Business & Economics
Languages : en
Pages : 484

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Book Description
Economics requires understanding and analyzing forces that bring buyers and sellers to a market place who then negotiate exchanges of goods and services based on a mutually agreeable price. Economists have their own method of modeling whereby models are first conceived of some notion of economic and financial thinking, before being empirically tested, and anomalies are then recognized if the observed data is inconsistent with the hypothetical underpinning. This is in inherent contradiction with the modeling approaches of physicists who develop their theories, principle and laws after observing empirical data. The awareness that physics can enlighten the understanding of human behavior (and thus economics), and the interest of physicists in applying their training and models to understanding the complexities of finance and economics, led to the creation of a new field of study appropriately termed as Econophysics. Selected Topics on Econophysics is a collection of essays on topics that enhance and enrich our understanding of economic modeling when the same rigor of modelling used by physicists is brought to developing financial and economic theories. These articles include discussions on modeling bitcoins, stock index modeling using geometric Brownian motion, agent-based modeling, wealth distribution modeling, as well as modeling related to fractal regression, and chaotic processes. This interdisciplinary book will interest researchers, graduate students and professionals in the fields of economics, finance as well as physics.

The Kolmogorov Legacy in Physics

The Kolmogorov Legacy in Physics PDF Author: Angelo Vulpiani
Publisher: Springer
ISBN: 3540396683
Category : Science
Languages : en
Pages : 258

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Book Description
The present volume, published at the occasion of his 100th birthday anniversary, is a collection of articles that reviews the impact of Kolomogorov's work in the physical sciences and provides an introduction to the modern developments that have been triggered in this way to encompass recent applications in biology, chemistry, information sciences and finance.

Financial Statistics and Data Analytics

Financial Statistics and Data Analytics PDF Author: Shuangzhe Li
Publisher: MDPI
ISBN: 3039439758
Category : Business & Economics
Languages : en
Pages : 232

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Book Description
Modern financial management is largely about risk management, which is increasingly data-driven. The problem is how to extract information from the data overload. It is here that advanced statistical and machine learning techniques can help. Accordingly, finance, statistics, and data analytics go hand in hand. The purpose of this book is to bring the state-of-art research in these three areas to the fore and especially research that juxtaposes these three.

Handbook of Financial Time Series

Handbook of Financial Time Series PDF Author: Torben Gustav Andersen
Publisher: Springer Science & Business Media
ISBN: 3540712976
Category : Business & Economics
Languages : en
Pages : 1045

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Book Description
The Handbook of Financial Time Series gives an up-to-date overview of the field and covers all relevant topics both from a statistical and an econometrical point of view. There are many fine contributions, and a preamble by Nobel Prize winner Robert F. Engle.