Statistical Analysis Of Stationary Time Series

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Statistics in Volcanology

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Author : Heidy M. Mader
Publisher : Geological Society of London
ISBN 13 : 9781862392083
Total Pages : 304 pages
Book Rating : 4.3/5 (92 download)

Book Synopsis Statistics in Volcanology by : Heidy M. Mader

Download or read book Statistics in Volcanology written by Heidy M. Mader and published by Geological Society of London. This book was released on 2006 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistics in Volcanology is a comprehensive guide to modern statistical methods applied in volcanology written by today's leading authorities. The volume aims to show how the statistical analysis of complex volcanological data sets, including time series, and numerical models of volcanic processes can improve our ability to forecast volcanic eruptions. Specific topics include the use of expert elicitation and Bayesian methods in eruption forecasting, statistical models of temporal and spatial patterns of volcanic activity, analysis of time series in volcano seismology, probabilistic hazard assessment, and assessment of numerical models using robust statistical methods. Also provided are comprehensive overviews of volcanic phenomena, and a full glossary of both volcanological and statistical terms. Statistics in Volcanology is essential reading for advanced undergraduates, graduate students, and research scientists interested in this multidisciplinary field.

Statistical Analysis of Stationary Time Series

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Author : Ulf Grenander
Publisher :
ISBN 13 :
Total Pages : 316 pages
Book Rating : 4.:/5 (318 download)

Book Synopsis Statistical Analysis of Stationary Time Series by : Ulf Grenander

Download or read book Statistical Analysis of Stationary Time Series written by Ulf Grenander and published by . This book was released on 1957 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Forecasting: principles and practice

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Author : Rob J Hyndman
Publisher : OTexts
ISBN 13 : 0987507117
Total Pages : 380 pages
Book Rating : 4.9/5 (875 download)

Book Synopsis Forecasting: principles and practice by : Rob J Hyndman

Download or read book Forecasting: principles and practice written by Rob J Hyndman and published by OTexts. This book was released on 2018-05-08 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: Forecasting is required in many situations. Stocking an inventory may require forecasts of demand months in advance. Telecommunication routing requires traffic forecasts a few minutes ahead. Whatever the circumstances or time horizons involved, forecasting is an important aid in effective and efficient planning. This textbook provides a comprehensive introduction to forecasting methods and presents enough information about each method for readers to use them sensibly.

Multidimensional Stationary Time Series

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Author : Marianna Bolla
Publisher : CRC Press
ISBN 13 : 1000392392
Total Pages : 318 pages
Book Rating : 4.0/5 (3 download)

Book Synopsis Multidimensional Stationary Time Series by : Marianna Bolla

Download or read book Multidimensional Stationary Time Series written by Marianna Bolla and published by CRC Press. This book was released on 2021-04-29 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a brief survey of the theory of multidimensional (multivariate), weakly stationary time series, with emphasis on dimension reduction and prediction. Understanding the covered material requires a certain mathematical maturity, a degree of knowledge in probability theory, linear algebra, and also in real, complex and functional analysis. For this, the cited literature and the Appendix contain all necessary material. The main tools of the book include harmonic analysis, some abstract algebra, and state space methods: linear time-invariant filters, factorization of rational spectral densities, and methods that reduce the rank of the spectral density matrix. Serves to find analogies between classical results (Cramer, Wold, Kolmogorov, Wiener, Kálmán, Rozanov) and up-to-date methods for dimension reduction in multidimensional time series Provides a unified treatment for time and frequency domain inferences by using machinery of complex and harmonic analysis, spectral and Smith--McMillan decompositions. Establishes analogies between the time and frequency domain notions and calculations Discusses the Wold's decomposition and the Kolmogorov's classification together, by distinguishing between different types of singularities. Understanding the remote past helps us to characterize the ideal situation where there is a regular part at present. Examples and constructions are also given Establishes a common outline structure for the state space models, prediction, and innovation algorithms with unified notions and principles, which is applicable to real-life high frequency time series It is an ideal companion for graduate students studying the theory of multivariate time series and researchers working in this field.

Time Series Analysis: Methods and Applications

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Author : Tata Subba Rao
Publisher : Elsevier
ISBN 13 : 0444538585
Total Pages : 778 pages
Book Rating : 4.4/5 (445 download)

Book Synopsis Time Series Analysis: Methods and Applications by : Tata Subba Rao

Download or read book Time Series Analysis: Methods and Applications written by Tata Subba Rao and published by Elsevier. This book was released on 2012-06-26 with total page 778 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'Handbook of Statistics' is a series of self-contained reference books. Each volume is devoted to a particular topic in statistics, with volume 30 dealing with time series.

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

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Author : K. Dzhaparidze
Publisher : Springer Science & Business Media
ISBN 13 : 9780387961415
Total Pages : 346 pages
Book Rating : 4.9/5 (614 download)

Book Synopsis Parameter Estimation and Hypothesis Testing in Spectral Analysis of Stationary Time Series by : K. Dzhaparidze

Download or read book Parameter Estimation and Hypothesis Testing in Spectral Analysis of Stationary Time Series written by K. Dzhaparidze and published by Springer Science & Business Media. This book was released on 1986 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: . . ) (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

Time Series Analysis Univariate and Multivariate Methods

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Author : William W. S. Wei
Publisher : Pearson
ISBN 13 : 9780134995366
Total Pages : 648 pages
Book Rating : 4.9/5 (953 download)

Book Synopsis Time Series Analysis Univariate and Multivariate Methods by : William W. S. Wei

Download or read book Time Series Analysis Univariate and Multivariate Methods written by William W. S. Wei and published by Pearson. This book was released on 2018-03-14 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt: With its broad coverage of methodology, this comprehensive book is a useful learning and reference tool for those in applied sciences where analysis and research of time series is useful. Its plentiful examples show the operational details and purpose of a variety of univariate and multivariate time series methods. Numerous figures, tables and real-life time series data sets illustrate the models and methods useful for analyzing, modeling, and forecasting data collected sequentially in time. The text also offers a balanced treatment between theory and applications. Time Series Analysis is a thorough introduction to both time-domain and frequency-domain analyses of univariate and multivariate time series methods, with coverage of the most recently developed techniques in the field.

Introduction to Time Series and Forecasting

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Author : Peter J. Brockwell
Publisher : Springer Science & Business Media
ISBN 13 : 1475725264
Total Pages : 429 pages
Book Rating : 4.4/5 (757 download)

Book Synopsis Introduction to Time Series and Forecasting by : Peter J. Brockwell

Download or read book Introduction to Time Series and Forecasting written by Peter J. Brockwell and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: Some of the key mathematical results are stated without proof in order to make the underlying theory acccessible to a wider audience. The book assumes a knowledge only of basic calculus, matrix algebra, and elementary statistics. The emphasis is on methods and the analysis of data sets. The logic and tools of model-building for stationary and non-stationary time series are developed in detail and numerous exercises, many of which make use of the included computer package, provide the reader with ample opportunity to develop skills in this area. The core of the book covers stationary processes, ARMA and ARIMA processes, multivariate time series and state-space models, with an optional chapter on spectral analysis. Additional topics include harmonic regression, the Burg and Hannan-Rissanen algorithms, unit roots, regression with ARMA errors, structural models, the EM algorithm, generalized state-space models with applications to time series of count data, exponential smoothing, the Holt-Winters and ARAR forecasting algorithms, transfer function models and intervention analysis. Brief introducitons are also given to cointegration and to non-linear, continuous-time and long-memory models. The time series package included in the back of the book is a slightly modified version of the package ITSM, published separately as ITSM for Windows, by Springer-Verlag, 1994. It does not handle such large data sets as ITSM for Windows, but like the latter, runs on IBM-PC compatible computers under either DOS or Windows (version 3.1 or later). The programs are all menu-driven so that the reader can immediately apply the techniques in the book to time series data, with a minimal investment of time in the computational and algorithmic aspects of the analysis.

The Spectral Analysis of Time Series

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Author : L. H. Koopmans
Publisher : Academic Press
ISBN 13 : 1483218546
Total Pages : 383 pages
Book Rating : 4.4/5 (832 download)

Book Synopsis The Spectral Analysis of Time Series by : L. H. Koopmans

Download or read book The Spectral Analysis of Time Series written by L. H. Koopmans and published by Academic Press. This book was released on 2014-05-12 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Spectral Analysis of Time Series describes the techniques and theory of the frequency domain analysis of time series. The book discusses the physical processes and the basic features of models of time series. The central feature of all models is the existence of a spectrum by which the time series is decomposed into a linear combination of sines and cosines. The investigator can used Fourier decompositions or other kinds of spectrals in time series analysis. The text explains the Wiener theory of spectral analysis, the spectral representation for weakly stationary stochastic processes, and the real spectral representation. The book also discusses sampling, aliasing, discrete-time models, linear filters that have general properties with applications to continuous-time processes, and the applications of multivariate spectral models. The text describes finite parameter models, the distribution theory of spectral estimates with applications to statistical inference, as well as sampling properties of spectral estimates, experimental design, and spectral computations. The book is intended either as a textbook or for individual reading for one-semester or two-quarter course for students of time series analysis users. It is also suitable for mathematicians or professors of calculus, statistics, and advanced mathematics.

Time Series Analysis

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Author : Jonathan D. Cryer
Publisher : Springer Science & Business Media
ISBN 13 : 0387759581
Total Pages : 501 pages
Book Rating : 4.3/5 (877 download)

Book Synopsis Time Series Analysis by : Jonathan D. Cryer

Download or read book Time Series Analysis written by Jonathan D. Cryer and published by Springer Science & Business Media. This book was released on 2008-04-04 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an accessible approach to understanding time series models and their applications. The ideas and methods are illustrated with both real and simulated data sets. A unique feature of this edition is its integration with the R computing environment.

Non-linear and Non-stationary Time Series Analysis

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Author : Maurice Bertram Priestley
Publisher :
ISBN 13 :
Total Pages : 250 pages
Book Rating : 4.:/5 (319 download)

Book Synopsis Non-linear and Non-stationary Time Series Analysis by : Maurice Bertram Priestley

Download or read book Non-linear and Non-stationary Time Series Analysis written by Maurice Bertram Priestley and published by . This book was released on 1988 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Statistical Analysis of Stationary Time Series

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Author : Ulf Grenander
Publisher :
ISBN 13 :
Total Pages : 312 pages
Book Rating : 4.3/5 (91 download)

Book Synopsis Statistical Analysis of Stationary Time Series by : Ulf Grenander

Download or read book Statistical Analysis of Stationary Time Series written by Ulf Grenander and published by . This book was released on 1957 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Hypothesis Testing in Time Series Analysis

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Author : Peter Whittle
Publisher :
ISBN 13 :
Total Pages : 150 pages
Book Rating : 4.3/5 (91 download)

Book Synopsis Hypothesis Testing in Time Series Analysis by : Peter Whittle

Download or read book Hypothesis Testing in Time Series Analysis written by Peter Whittle and published by . This book was released on 1951 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Asymptotic Nonparametric Statistical Analysis of Stationary Time Series

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Author : Daniil Ryabko
Publisher : Springer
ISBN 13 : 3030125645
Total Pages : 85 pages
Book Rating : 4.0/5 (31 download)

Book Synopsis Asymptotic Nonparametric Statistical Analysis of Stationary Time Series by : Daniil Ryabko

Download or read book Asymptotic Nonparametric Statistical Analysis of Stationary Time Series written by Daniil Ryabko and published by Springer. This book was released on 2019-03-07 with total page 85 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stationarity is a very general, qualitative assumption, that can be assessed on the basis of application specifics. It is thus a rather attractive assumption to base statistical analysis on, especially for problems for which less general qualitative assumptions, such as independence or finite memory, clearly fail. However, it has long been considered too general to be able to make statistical inference. One of the reasons for this is that rates of convergence, even of frequencies to the mean, are not available under this assumption alone. Recently, it has been shown that, while some natural and simple problems, such as homogeneity, are indeed provably impossible to solve if one only assumes that the data is stationary (or stationary ergodic), many others can be solved with rather simple and intuitive algorithms. The latter include clustering and change point estimation among others. In this volume these results are summarize. The emphasis is on asymptotic consistency, since this the strongest property one can obtain assuming stationarity alone. While for most of the problem for which a solution is found this solution is algorithmically realizable, the main objective in this area of research, the objective which is only partially attained, is to understand what is possible and what is not possible to do for stationary time series. The considered problems include homogeneity testing (the so-called two sample problem), clustering with respect to distribution, clustering with respect to independence, change point estimation, identity testing, and the general problem of composite hypotheses testing. For the latter problem, a topological criterion for the existence of a consistent test is presented. In addition, a number of open problems is presented.

Time Series

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Author : Robert Shumway
Publisher : CRC Press
ISBN 13 : 1000008398
Total Pages : 218 pages
Book Rating : 4.0/5 ( download)

Book Synopsis Time Series by : Robert Shumway

Download or read book Time Series written by Robert Shumway and published by CRC Press. This book was released on 2019-05-17 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goals of this text are to develop the skills and an appreciation for the richness and versatility of modern time series analysis as a tool for analyzing dependent data. A useful feature of the presentation is the inclusion of nontrivial data sets illustrating the richness of potential applications to problems in the biological, physical, and social sciences as well as medicine. The text presents a balanced and comprehensive treatment of both time and frequency domain methods with an emphasis on data analysis. Numerous examples using data illustrate solutions to problems such as discovering natural and anthropogenic climate change, evaluating pain perception experiments using functional magnetic resonance imaging, and the analysis of economic and financial problems. The text can be used for a one semester/quarter introductory time series course where the prerequisites are an understanding of linear regression, basic calculus-based probability skills, and math skills at the high school level. All of the numerical examples use the R statistical package without assuming that the reader has previously used the software. Robert H. Shumway is Professor Emeritus of Statistics, University of California, Davis. He is a Fellow of the American Statistical Association and has won the American Statistical Association Award for Outstanding Statistical Application. He is the author of numerous texts and served on editorial boards such as the Journal of Forecasting and the Journal of the American Statistical Association. David S. Stoffer is Professor of Statistics, University of Pittsburgh. He is a Fellow of the American Statistical Association and has won the American Statistical Association Award for Outstanding Statistical Application. He is currently on the editorial boards of the Journal of Forecasting, the Annals of Statistical Mathematics, and the Journal of Time Series Analysis. He served as a Program Director in the Division of Mathematical Sciences at the National Science Foundation and as an Associate Editor for the Journal of the American Statistical Association and the Journal of Business & Economic Statistics.

Using R for Principles of Econometrics

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Author : Constantin Colonescu
Publisher : Lulu.com
ISBN 13 : 1387473611
Total Pages : 278 pages
Book Rating : 4.3/5 (874 download)

Book Synopsis Using R for Principles of Econometrics by : Constantin Colonescu

Download or read book Using R for Principles of Econometrics written by Constantin Colonescu and published by Lulu.com. This book was released on 2017-12-28 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a beginner's guide to applied econometrics using the free statistics software R. It provides and explains R solutions to most of the examples in 'Principles of Econometrics' by Hill, Griffiths, and Lim, fourth edition. 'Using R for Principles of Econometrics' requires no previous knowledge in econometrics or R programming, but elementary notions of statistics are helpful.

Analysis of Integrated and Cointegrated Time Series with R

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Author : Bernhard Pfaff
Publisher : Springer Science & Business Media
ISBN 13 : 0387759670
Total Pages : 193 pages
Book Rating : 4.3/5 (877 download)

Book Synopsis Analysis of Integrated and Cointegrated Time Series with R by : Bernhard Pfaff

Download or read book Analysis of Integrated and Cointegrated Time Series with R written by Bernhard Pfaff and published by Springer Science & Business Media. This book was released on 2008-09-03 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is designed for self study. The reader can apply the theoretical concepts directly within R by following the examples.