Bayesian Methods for Change-Point Detection in Long-Range Dependent Processes

Bayesian Methods for Change-Point Detection in Long-Range Dependent Processes PDF Author: Bonnie K. Ray
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

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Book Description
We describe a Bayesian method for detecting structural changes in a long-range dependent process. In particular, we focus on changes in the long-range dependence parameter, d, and changes in the process level, p. Markov chain Monte Carlo (MCMC) methods are used to estimate the posterior probability and size of a change at time t, along with other model parameters. A time-dependent Kalman filter approach is used to evaluate the likelihood of the fractionally integrated ARMA model characterizing the long-range dependence. The method allows for multiple change points and can be extended to the long-memory stochastic volatility case. We apply the method to three examples, to investigate a change in persistence of the yearly Nile River minima, to investigate structural changes in the series of durations between intraday trades of IBM stock on the New York Stock Exchange, and to detect structural breaks in daily stock returns for the Coca Cola Company during the 1990s.

Bayesian Methods for Change-Point Detection in Long-Range Dependent Processes

Bayesian Methods for Change-Point Detection in Long-Range Dependent Processes PDF Author: Bonnie K. Ray
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

Get Book Here

Book Description
We describe a Bayesian method for detecting structural changes in a long-range dependent process. In particular, we focus on changes in the long-range dependence parameter, d, and changes in the process level, p. Markov chain Monte Carlo (MCMC) methods are used to estimate the posterior probability and size of a change at time t, along with other model parameters. A time-dependent Kalman filter approach is used to evaluate the likelihood of the fractionally integrated ARMA model characterizing the long-range dependence. The method allows for multiple change points and can be extended to the long-memory stochastic volatility case. We apply the method to three examples, to investigate a change in persistence of the yearly Nile River minima, to investigate structural changes in the series of durations between intraday trades of IBM stock on the New York Stock Exchange, and to detect structural breaks in daily stock returns for the Coca Cola Company during the 1990s.

Long-Memory Time Series

Long-Memory Time Series PDF Author: Wilfredo Palma
Publisher: John Wiley & Sons
ISBN: 0470131454
Category : Mathematics
Languages : en
Pages : 306

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Book Description
A self-contained, contemporary treatment of the analysis of long-range dependent data Long-Memory Time Series: Theory and Methods provides an overview of the theory and methods developed to deal with long-range dependent data and describes the applications of these methodologies to real-life time series. Systematically organized, it begins with the foundational essentials, proceeds to the analysis of methodological aspects (Estimation Methods, Asymptotic Theory, Heteroskedastic Models, Transformations, Bayesian Methods, and Prediction), and then extends these techniques to more complex data structures. To facilitate understanding, the book: Assumes a basic knowledge of calculus and linear algebra and explains the more advanced statistical and mathematical concepts Features numerous examples that accelerate understanding and illustrate various consequences of the theoretical results Proves all theoretical results (theorems, lemmas, corollaries, etc.) or refers readers to resources with further demonstration Includes detailed analyses of computational aspects related to the implementation of the methodologies described, including algorithm efficiency, arithmetic complexity, CPU times, and more Includes proposed problems at the end of each chapter to help readers solidify their understanding and practice their skills A valuable real-world reference for researchers and practitioners in time series analysis, economerics, finance, and related fields, this book is also excellent for a beginning graduate-level course in long-memory processes or as a supplemental textbook for those studying advanced statistics, mathematics, economics, finance, engineering, or physics. A companion Web site is available for readers to access the S-Plus and R data sets used within the text.

Time Series Analysis with Long Memory in View

Time Series Analysis with Long Memory in View PDF Author: Uwe Hassler
Publisher: John Wiley & Sons
ISBN: 1119470285
Category : Mathematics
Languages : en
Pages : 292

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Book Description
Provides a simple exposition of the basic time series material, and insights into underlying technical aspects and methods of proof Long memory time series are characterized by a strong dependence between distant events. This book introduces readers to the theory and foundations of univariate time series analysis with a focus on long memory and fractional integration, which are embedded into the general framework. It presents the general theory of time series, including some issues that are not treated in other books on time series, such as ergodicity, persistence versus memory, asymptotic properties of the periodogram, and Whittle estimation. Further chapters address the general functional central limit theory, parametric and semiparametric estimation of the long memory parameter, and locally optimal tests. Intuitive and easy to read, Time Series Analysis with Long Memory in View offers chapters that cover: Stationary Processes; Moving Averages and Linear Processes; Frequency Domain Analysis; Differencing and Integration; Fractionally Integrated Processes; Sample Means; Parametric Estimators; Semiparametric Estimators; and Testing. It also discusses further topics. This book: Offers beginning-of-chapter examples as well as end-of-chapter technical arguments and proofs Contains many new results on long memory processes which have not appeared in previous and existing textbooks Takes a basic mathematics (Calculus) approach to the topic of time series analysis with long memory Contains 25 illustrative figures as well as lists of notations and acronyms Time Series Analysis with Long Memory in View is an ideal text for first year PhD students, researchers, and practitioners in statistics, econometrics, and any application area that uses time series over a long period. It would also benefit researchers, undergraduates, and practitioners in those areas who require a rigorous introduction to time series analysis.

Time Series Analysis

Time Series Analysis PDF Author: Wilfredo Palma
Publisher: John Wiley & Sons
ISBN: 1118634349
Category : Mathematics
Languages : en
Pages : 644

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Book Description
A modern and accessible guide to the analysis of introductory time series data Featuring an organized and self-contained guide, Time Series Analysis provides a broad introduction to the most fundamental methodologies and techniques of time series analysis. The book focuses on the treatment of univariate time series by illustrating a number of well-known models such as ARMA and ARIMA. Providing contemporary coverage, the book features several useful and newlydeveloped techniques such as weak and strong dependence, Bayesian methods, non-Gaussian data, local stationarity, missing values and outliers, and threshold models. Time Series Analysis includes practical applications of time series methods throughout, as well as: Real-world examples and exercise sets that allow readers to practice the presented methods and techniques Numerous detailed analyses of computational aspects related to the implementation of methodologies including algorithm efficiency, arithmetic complexity, and process time End-of-chapter proposed problems and bibliographical notes to deepen readers’ knowledge of the presented material Appendices that contain details on fundamental concepts and select solutions of the problems implemented throughout A companion website with additional data fi les and computer codes Time Series Analysis is an excellent textbook for undergraduate and beginning graduate-level courses in time series as well as a supplement for students in advanced statistics, mathematics, economics, finance, engineering, and physics. The book is also a useful reference for researchers and practitioners in time series analysis, econometrics, and finance. Wilfredo Palma, PhD, is Professor of Statistics in the Department of Statistics at Pontificia Universidad Católica de Chile. He has published several refereed articles and has received over a dozen academic honors and awards. His research interests include time series analysis, prediction theory, state space systems, linear models, and econometrics. He is the author of Long-Memory Time Series: Theory and Methods, also published by Wiley.

Progress in Pattern Recognition

Progress in Pattern Recognition PDF Author: Sameer Singh
Publisher: Springer Science & Business Media
ISBN: 9781846289446
Category : Computers
Languages : en
Pages : 268

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Book Description
This book features a collection of articles presented at the 2007 Workshop on Advances in Pattern Recognition, which was organized in conjunction with the 5th International Summer School on Pattern Recognition. It provides readers with the state-of-the-art algorithms in the area of pattern recognition as well as a presentation of the cutting edge applications within the field.

Applied Bayesian Modelling

Applied Bayesian Modelling PDF Author: Peter Congdon
Publisher: John Wiley & Sons
ISBN: 1118895053
Category : Mathematics
Languages : en
Pages : 464

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Book Description
This book provides an accessible approach to Bayesian computing and data analysis, with an emphasis on the interpretation of real data sets. Following in the tradition of the successful first edition, this book aims to make a wide range of statistical modeling applications accessible using tested code that can be readily adapted to the reader's own applications. The second edition has been thoroughly reworked and updated to take account of advances in the field. A new set of worked examples is included. The novel aspect of the first edition was the coverage of statistical modeling using WinBUGS and OPENBUGS. This feature continues in the new edition along with examples using R to broaden appeal and for completeness of coverage.

Studies on Time Series Applications in Environmental Sciences

Studies on Time Series Applications in Environmental Sciences PDF Author: Alina Bărbulescu
Publisher: Springer
ISBN: 3319304364
Category : Technology & Engineering
Languages : en
Pages : 197

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Book Description
Time series analysis and modelling represent a large study field, implying the approach from the perspective of the time and frequency, with applications in different domains. Modelling hydro-meteorological time series is difficult due to the characteristics of these series, as long range dependence, spatial dependence, the correlation with other series. Continuous spatial data plays an important role in planning, risk assessment and decision making in environmental management. In this context, in this book we present various statistical tests and modelling techniques used for time series analysis, as well as applications to hydro-meteorological series from Dobrogea, a region situated in the south-eastern part of Romania, less studied till now. Part of the results are accompanied by their R code.

IBSS: Economics: 2002 Vol.51

IBSS: Economics: 2002 Vol.51 PDF Author: Compiled by the British Library of Political and Economic Science
Publisher: Routledge
ISBN: 1134340036
Category : Business & Economics
Languages : en
Pages : 675

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Book Description
First published in 1952, the International Bibliography of the Social Sciences (anthropology, economics, political science, and sociology) is well established as a major bibliographic reference for students, researchers and librarians in the social sciences worldwide. Key features * Authority: Rigorous standards are applied to make the IBSS the most authoritative selective bibliography ever produced. Articles and books are selected on merit by some of the world's most expert librarians and academics. *Breadth: today the IBSS covers over 2000 journals - more than any other comparable resource. The latest monograph publications are also included. *International Coverage: the IBSS reviews scholarship published in over 30 languages, including publications from Eastern Europe and the developing world. *User friendly organization: all non-English titles are word sections. Extensive author, subject and place name indexes are provided in both English and French. Place your standing order now for the 2003 volumes of the the IBSS Anthropology: 2002 Vol.48 December 2003: 234x156: Hb: 0-415-32634-6: £195.00 Economics: 2002 Vol.51 December 2003: 234x156: Hb: 0-415-32635-4: £195.00 Political Science: 2002 Vol.51 December 2003: 234x156: Hb: 0-415-32636-2: £195.00 Sociology: 2002 Vol.52 December 2003: 234x156: Hb: 0-415-32637-0: £195.00

Uncovering Changing Relations in Financial and Monetary Economics

Uncovering Changing Relations in Financial and Monetary Economics PDF Author: Barbara Meller
Publisher: Tectum Wissenschaftsverlag
ISBN: 3828852173
Category : Business & Economics
Languages : en
Pages : 123

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Book Description
In her doctoral thesis, Barbara Meller compiles her work on applied econometrics focusing on policy decision making in financial and monetary economics.In the first part of the book, the effect of financial globalization on the volatility of economic growth is empirically examined in a large sample of countries. The analysis provides clear criteria which countries should fulfill in order to benefit from financial globalization in terms of reduced volatility. In general, financial globalization is more favorable for countries with a higher ability to repay debt. The focus of the second part of the book is inflation persistence which is measured using long-memory techniques. As inflation persistence is one of the most crucial parameters affecting monetary policy, the analyses have important implications for the evaluation and conduct of monetary policy. In particular, the impact of the formation of the European Central Bank on inflation persistence is analyzed using panel fractional integration estimation. It is concluded that inflation persistence has decreased probably as a result of the more effective monetary policy of the ECB. Moreover, a new test to find a break in long-run persistence at unknown timing is introduced. Applied to US inflation rate, the test indicates that persistence has increased in 1973 and decreased in 1980.

International Bibliography of Economics

International Bibliography of Economics PDF Author: Compiled by the British Library of Political and Economic Science
Publisher: Psychology Press
ISBN: 0415326354
Category : Economics
Languages : en
Pages : 676

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Book Description
IBSS is the essential tool for librarians, university departments, research institutions and any public or private institution whose work requires access to up-to-date and comprehensive knowledge of the social sciences.