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Parameter Estimation and Hypothesis Testing in Spectral Analysis of Stationary Time Series

Parameter Estimation and Hypothesis Testing in Spectral Analysis of Stationary Time Series PDF Author: K. Dzhaparidze
Publisher: Springer Science & Business Media
ISBN: 1461248426
Category : Mathematics
Languages : en
Pages : 331

Book Description
. . ) (under the assumption that the spectral density exists). For this reason, a vast amount of periodical and monographic literature is devoted to the nonparametric statistical problem of estimating the function tJ( T) and especially that of leA) (see, for example, the books [4,21,22,26,56,77,137,139,140,]). However, the empirical value t;; of the spectral density I obtained by applying a certain statistical procedure to the observed values of the variables Xl' . . . , X , usually depends in n a complicated manner on the cyclic frequency). . This fact often presents difficulties in applying the obtained estimate t;; of the function I to the solution of specific problems rela ted to the process X . Theref ore, in practice, the t obtained values of the estimator t;; (or an estimator of the covariance function tJ~( T» are almost always "smoothed," i. e. , are approximated by values of a certain sufficiently simple function 1 = 1

Parameter Estimation and Hypothesis Testing in Spectral Analysis of Stationary Time Series

Parameter Estimation and Hypothesis Testing in Spectral Analysis of Stationary Time Series PDF Author: K. Dzhaparidze
Publisher: Springer Science & Business Media
ISBN: 1461248426
Category : Mathematics
Languages : en
Pages : 331

Book Description
. . ) (under the assumption that the spectral density exists). For this reason, a vast amount of periodical and monographic literature is devoted to the nonparametric statistical problem of estimating the function tJ( T) and especially that of leA) (see, for example, the books [4,21,22,26,56,77,137,139,140,]). However, the empirical value t;; of the spectral density I obtained by applying a certain statistical procedure to the observed values of the variables Xl' . . . , X , usually depends in n a complicated manner on the cyclic frequency). . This fact often presents difficulties in applying the obtained estimate t;; of the function I to the solution of specific problems rela ted to the process X . Theref ore, in practice, the t obtained values of the estimator t;; (or an estimator of the covariance function tJ~( T» are almost always "smoothed," i. e. , are approximated by values of a certain sufficiently simple function 1 = 1

The Statistical Theory of Linear Systems

The Statistical Theory of Linear Systems PDF Author: E. J. Hannan
Publisher: SIAM
ISBN: 1611972183
Category : Business & Economics
Languages : en
Pages : 418

Book Description
Originally published: New York: Wiley, c1988.

ARMA Model Identification

ARMA Model Identification PDF Author: ByoungSeon Choi
Publisher: Springer Science & Business Media
ISBN: 1461397456
Category : Mathematics
Languages : en
Pages : 211

Book Description
During the last two decades, considerable progress has been made in statistical time series analysis. The aim of this book is to present a survey of one of the most active areas in this field: the identification of autoregressive moving-average models, i.e., determining their orders. Readers are assumed to have already taken one course on time series analysis as might be offered in a graduate course, but otherwise this account is self-contained. The main topics covered include: Box-Jenkins' method, inverse autocorrelation functions, penalty function identification such as AIC, BIC techniques and Hannan and Quinn's method, instrumental regression, and a range of pattern identification methods. Rather than cover all the methods in detail, the emphasis is on exploring the fundamental ideas underlying them. Extensive references are given to the research literature and as a result, all those engaged in research in this subject will find this an invaluable aid to their work.

Introduction to Econometrics

Introduction to Econometrics PDF Author: Christopher Dougherty
Publisher: Oxford University Press, USA
ISBN: 0199280967
Category : Business & Economics
Languages : en
Pages : 480

Book Description
Dougherty provides a step-by-step introductory guide to the core areas of this demanding subject. The book includes new material on specification tests, binary choice models, tobit analysis, and unit root tests and cointegration.

Modelling Non-Stationary Economic Time Series

Modelling Non-Stationary Economic Time Series PDF Author: S. Burke
Publisher: Springer
ISBN: 0230005780
Category : Business & Economics
Languages : en
Pages : 253

Book Description
Co-integration, equilibrium and equilibrium correction are key concepts in modern applications of econometrics to real world problems. This book provides direction and guidance to the now vast literature facing students and graduate economists. Econometric theory is linked to practical issues such as how to identify equilibrium relationships, how to deal with structural breaks associated with regime changes and what to do when variables are of different orders of integration.

The Basics of Financial Econometrics

The Basics of Financial Econometrics PDF Author: Frank J. Fabozzi
Publisher: John Wiley & Sons
ISBN: 1118727231
Category : Business & Economics
Languages : en
Pages : 433

Book Description
An accessible guide to the growing field of financial econometrics As finance and financial products have become more complex, financial econometrics has emerged as a fast-growing field and necessary foundation for anyone involved in quantitative finance. The techniques of financial econometrics facilitate the development and management of new financial instruments by providing models for pricing and risk assessment. In short, financial econometrics is an indispensable component to modern finance. The Basics of Financial Econometrics covers the commonly used techniques in the field without using unnecessary mathematical/statistical analysis. It focuses on foundational ideas and how they are applied. Topics covered include: regression models, factor analysis, volatility estimations, and time series techniques. Covers the basics of financial econometrics—an important topic in quantitative finance Contains several chapters on topics typically not covered even in basic books on econometrics such as model selection, model risk, and mitigating model risk Geared towards both practitioners and finance students who need to understand this dynamic discipline, but may not have advanced mathematical training, this book is a valuable resource on a topic of growing importance.

Handbook of Research Methods and Applications in Empirical Macroeconomics

Handbook of Research Methods and Applications in Empirical Macroeconomics PDF Author: Nigar Hashimzade
Publisher: Edward Elgar Publishing
ISBN: 0857931024
Category : Business & Economics
Languages : en
Pages : 627

Book Description
This comprehensive Handbook presents the current state of art in the theory and methodology of macroeconomic data analysis. It is intended as a reference for graduate students and researchers interested in exploring new methodologies, but can also be employed as a graduate text. The Handbook concentrates on the most important issues, models and techniques for research in macroeconomics, and highlights the core methodologies and their empirical application in an accessible manner. Each chapter is largely self-contained, whilst the comprehensive introduction provides an overview of the key statistical concepts and methods. All of the chapters include the essential references for each topic and provide a sound guide for further reading. Topics covered include unit roots, non-linearities and structural breaks, time aggregation, forecasting, the Kalman filter, generalised method of moments, maximum likelihood and Bayesian estimation, vector autoregressive, dynamic stochastic general equilibrium and dynamic panel models. Presenting the most important models and techniques for empirical research, this Handbook will appeal to students, researchers and academics working in empirical macro and econometrics.

Introduction to Statistical Time Series

Introduction to Statistical Time Series PDF Author: Wayne A. Fuller
Publisher: John Wiley & Sons
ISBN: 0470317752
Category : Mathematics
Languages : en
Pages : 734

Book Description
The subject of time series is of considerable interest, especiallyamong researchers in econometrics, engineering, and the naturalsciences. As part of the prestigious Wiley Series in Probabilityand Statistics, this book provides a lucid introduction to thefield and, in this new Second Edition, covers the importantadvances of recent years, including nonstationary models, nonlinearestimation, multivariate models, state space representations, andempirical model identification. New sections have also been addedon the Wold decomposition, partial autocorrelation, long memoryprocesses, and the Kalman filter. Major topics include: * Moving average and autoregressive processes * Introduction to Fourier analysis * Spectral theory and filtering * Large sample theory * Estimation of the mean and autocorrelations * Estimation of the spectrum * Parameter estimation * Regression, trend, and seasonality * Unit root and explosive time series To accommodate a wide variety of readers, review material,especially on elementary results in Fourier analysis, large samplestatistics, and difference equations, has been included.

Financial Risk Modelling and Portfolio Optimization with R

Financial Risk Modelling and Portfolio Optimization with R PDF Author: Bernhard Pfaff
Publisher: John Wiley & Sons
ISBN: 111847712X
Category : Mathematics
Languages : en
Pages : 309

Book Description
Introduces the latest techniques advocated for measuring financial market risk and portfolio optimization, and provides a plethora of R code examples that enable the reader to replicate the results featured throughout the book. Financial Risk Modelling and Portfolio Optimization with R: Demonstrates techniques in modelling financial risks and applying portfolio optimization techniques as well as recent advances in the field. Introduces stylized facts, loss function and risk measures, conditional and unconditional modelling of risk; extreme value theory, generalized hyperbolic distribution, volatility modelling and concepts for capturing dependencies. Explores portfolio risk concepts and optimization with risk constraints. Enables the reader to replicate the results in the book using R code. Is accompanied by a supporting website featuring examples and case studies in R. Graduate and postgraduate students in finance, economics, risk management as well as practitioners in finance and portfolio optimization will find this book beneficial. It also serves well as an accompanying text in computer-lab classes and is therefore suitable for self-study.

Journal of the American Statistical Association

Journal of the American Statistical Association PDF Author:
Publisher:
ISBN:
Category : Electronic journals
Languages : en
Pages : 1748

Book Description