'… Timothy DelSole and Michael Tippett aim to streamline students' mathematical training by collecting the most important methods into a single textbook … As more climate scientists venture into such subtle problems as whether to attribute extreme events like prolonged heat waves to climate change, the critical statistical thinking skills fostered in Statistical Methods for Climate Scientists will be of increasing importance.' Brad Marston, Physics Today
1. Basic Concepts in Probability and Statistics; 2. Hypothesis Tests; 3. Confidence Intervals; 4. Statistical Tests Based on Ranks; 5. Introduction to Stochastic Processes; 6. The Power Spectrum; 7. Introduction to Multivariate Methods; 8. Linear Regression: Least Squares Estimation; 9. Linear Regression: Inference; 10. Model Selection; 11. Screening: A Pitfall in Statistics; 12. Principal Component Analysis; 13. Field Significance; 14. Multivariate Linear Regression; 15. Canonical Correlation Analysis; 16. Covariance Discriminant Analysis; 17. Analysis of Variance and Predictability; 18. Predictable Component Analysis; 19. Extreme Value Theory; 20. Data Assimilation; 21. Ensemble Square Root Filters; 22. Appendix; References; Index.