The analysis of time series : an introduction / C. Chatfield.
By: Chatfield, Christopher.
Material type: BookPublisher: London : Chapman and Hall, 1989Edition: 4th ed.Description: xii, 241 p. : ill. ; 24 cm. + hbk.ISBN: 0412318105; 0412318202 .Subject(s): Time-series analysisDDC classification: 519.55Item type | Current library | Call number | Copy number | Status | Date due | Barcode | Item holds |
---|---|---|---|---|---|---|---|
General Lending | MTU Bishopstown Library Lending | 519.55 (Browse shelf(Opens below)) | 1 | Available | 00030605 |
Includes bibliographical references (pages 222-228) and indexes.
Introduction -- Simple descriptive techniques -- Probability models for time series -- Estimation in the time domain -- Forecasting -- Stationary processes in the frequency domain -- Spectral analysis -- Bivariate processes -- Linear systems -- State-space models and the Kalman filter -- Some other topics.
Table of contents provided by Syndetics
- Introduction
- Some Representative Time Series
- Terminology
- Objectives of Time-Series Analysis
- Approaches to Time-Series Analysis
- Review of Books of Time Series
- Simple Descriptive Techniques
- Types of Variation
- Stationary Time Series
- The Time Plot
- Transformation
- Analysing Series that Contain a Trend
- Analysing Series that Contain Seasonal Variation
- Autocorrelation and the Correlogram
- Other Tests of Randomness
- Handling Real Data
- Probability Models For Time Series
- Stochastic Processes and their Properties
- Stationary Processes
- Some Properties of the Autocorrelation Function
- Some Useful Models
- The Wold Decomposition Theorem
- Fitting Time-Series Models (In The Time Domain)
- Estimating the Autocovariance and Autocorrelation Functions
- Fitting an Autoregressive Process
- Fitting a Moving Average Process
- Estimating the Parameters of an ARMA Model
- Estimating the Parameters of an ARIMA Model
- The Box-Jenkins Seasonal (SARIMA) Model
- Residual Analysis
- General Remarks on Model Building
- Forecasting
- Introduction
- Univariate Procedures
- Multivariate Procedures
- A Comparative Review of Forecasting Procedures
- Some Examples
- Prediction Theory
- Stationary Processes In The Frequency Domain
- Introduction
- The Spectral Distribution Function
- The Spectral Density Function
- The Spectrum of a Continuous Process
- Derivation of Selected Spectra
- Spectral Analysis
- Fourier Analysis
- A Simple Sinusoidal Model
- Periodogram Analysis
- Spectral Analysis: some Consistent Estimation Procedures
- Confidence Intervals for the Spectrum
- A Comparison of Different Estimation Procedures
- Analysing a Continuous Time Series
- Examples and Discussion
- Bivariate Processes
- The Cross-Covariance and Cross-Correlation Functions
- The Cross-Spectrum
- Linear Systems
- Introduction
- Linear systems in the Time Domain
- Linear Systems in the Frequency Domain
- Identification of Linear Systems
- State-Space Models And The Kalman Filter
- State-Space Models
- The Kalman Filter
- Non-Linear Models
- Introduction
- Some Models with Nonlinear Structure
- Models for Changing Variance
- Neural Networks
- Chaos
- Concluding Remarks
- Bibliography
- Multivariate Time-Series Modelling
- Introduction
- Single Equation Models
- Vector Autoregressive Models
- Vector ARMA Models
- Fitting VAR and VARMA Models
- Co-integration
- Bibliography
- Some More Advanced Topics
- Model Identification Tools
- Modelling Non-Stationary Series
- Fractional Differencing and Long-Memory Models
- Testing for Unit Roots
- The Effect of Model Uncertainty
- Control Theory
- Miscellanea
- Examples And Practical Advice
- General Comments
- Computer Software
- Examples
- More on the Time Plot
- Concluding Remarks
- Data Sources and Exercises
- Appendices
- The Fourier, Laplace, and z-Transforms
- The Dirac Delta Function
- Covariance and Correlation
- Some MINITAB and S-PLUS Commands
- Answers To Exercises
- References