Cyclostationary EOF Analysis

Preface

Chapter 1. Univariate Time Series Analysis
1.1 Introduction
1.2 Covariance Stationary Time Series
1.3 Sampling Properties of Descriptive Statistics
1.4 Theory of Linear Filters
1.5 Nonparametric Spectral Density Estimation
1.6 Time Series Models
1.7 Glossary of Statistics Terms
1.8 Time Series Analysis Package
Exercise Problems for Chapter 1

Chapter 2. Empirical Orthogonal Function Analysis
2.1 Introduction
2.2 Properties of EOFs
2.3 EOF Decomposition
2.4 Covariance Function in Spectral Domain
2.5 Physical Interpretation of EOFs
2.6 Composite Analysis
2.7 EOF Analysis in a Time Domain
Exercise Problems for Chapter 2

Chapter 3. Cyclostationary EOF Analysis
3.1 Introduction
3.2 Cyclostationary Covariance Statistics
3.3 Cyclostationary EOF Analysis
3.4 Properties of CSEOFs
3.5 Physical Consistency of CSLVs
3.6 CSEOF Analysis in EOF Space
3.7 Comparison with Composite Analysis
3.8 One-Dimensional CSEOF Analysis
3.9 Theory of CSEOF Analysis (Advanced Topic)
3.10 CSEOF Analysis Package
Exercise Problems for Chapter 3

Chapter 4. Physical Inferences Based on CSEOF Analysis
4.1 Introduction
4.2 Physical Interpretation of CSEOFs
4.3 Regression Analysis in CSEOF Space
4.4 Comparison with Composite Analysis
4.5 Comparison with Wavelet Analysis
Exercise Problems for Chapter 4

Chapter 5. Connection between Two Physical Regimes
5.1 Introduction
5.2. Teleconnection Analysis
5.3 Connecting Local and Regional/Global Analysis
5.4 Connecting Temporally Lagged Signals
5.5 Connecting Signals with Distinct Evolution Patterns
5.6 Extraction of Local and Regional Anthropogenic Signals
Exercise Problems for Chapter 5

Chapter 6. Prediction Based on CSEOFs
6.1 Introduction
6.2 Weather Generator
6.3 Prediction
6.4 Forecasting
6.5 Statistical Downscaling
6.6 Super-Ensemble Technique
Exercise Problems for Chapter 6

Chapter 7. Estimation Based on CSEOFs
7.1 Introduction
7.2 Estimation of Spatial Averages
7.3 Estimating the Amplitudes of Basis Functions
7.4 Estimation of CSEOF PC Time Series
7.5 Data Initialization
7.6 Estimating Global Warming-Related Signal
Exercise Problems for Chapter 7

Chapter 8. Physical Analysis Based on CSEOFs
8.1 Introduction
8.2 Analysis of Aerosol Data
8.3 Defining Background Atmosphere
8.4 Analysis of PM10 in Seoul
8.5 Analysis of Oxygen Isotope (d18O) Time Series
8.6 Weekend Effect
Exercise Problems for Chapter 8

Chapter 9. Application of CSEOFs in Numerical Modeling
9.1 Introduction
9.2 Stringent Analysis of Model Datasets
9.3 Ensemble Forecasting
9.4 Open Boundary Conditions for Regional Models
9.5 Subscale Parameterization in Climate Models
9.6 Optimal Interpolation
Exercise Problems for Chapter 9

Chapter 10. Other Eigen-Analysis Techniques
10.1 Introduction
10.2 Extended EOF Analysis
10.3 Complex EOF Analysis
10.4 Principal Oscillation Pattern Analysis
10.5 Canonical Correlation Analysis
10.6 Maximum Covariance Analysis
Exercise Problems for Chapter 10

Appendix
A.1 Univariate Time Series Analysis Package
A.2 CSEOF Analysis Processing Sequence Chart
A.3 Program Descriptions
A.4 Example Script Files
A.5 IDL Version of the CSEOF Package
A.6 MATLAB Version of the CSEOF Package
A.7 Other Eigen-Analysis Programs
A.8 System Requirements
A.9 Setting Up for Execution

References
Index

DVD Contents
DVD1: Electronic Book (eBook for Mac OS)
DVD2: Electronic Book (eBook for Windows)
DVD3: Source Programs (programs)
DVD4: Datasets for Exercise Problems (datasets)
DVD5: Script Files for Exercise Programs (scripts)