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Full Description
Statistical Methods in the Atmospheric Sciences, Fifth Edition provides a thorough and structured exploration of the statistical techniques essential for analyzing atmospheric data, and forecasting atmospheric phenomena. The book begins with foundational concepts in probability, setting the stage for more advanced topics. It then covers univariate statistics, including empirical distributions, parametric probability models, and both frequentist and Bayesian inference methods, offering the tools for rigorous data analysis and interpretation. The text also addresses statistical forecasting and ensemble forecasting, which are crucial for predicting atmospheric phenomena, along with methods for verifying forecast accuracy. Time series analysis is explored in detail, enabling the readers to understand temporal dependencies in atmospheric data. The book advances into multivariate statistics, presenting matrix algebra and random matrices as mathematical foundations. It discusses the multivariate normal distribution, principal component analysis (EOF), and multivariate analysis of vector pairs to handle complex, multidimensional atmospheric datasets. Techniques for discrimination, classification, and cluster analysis are also examined, providing methods for categorizing and interpreting atmospheric patterns. Supplementary materials include example datasets, probability tables, and a glossary of symbols and acronyms, along with answers to exercises that reinforce learning. This comprehensive new edition equips researchers, students, and professionals with the statistical knowledge and practical skills necessary to analyze atmospheric data effectively and to contribute to the advancements in meteorology and climate science.
Contents
1. Introduction
2. Review of Probability II Univariate Statistics
3. Empirical Distributions and Exploratory Data Analysis
4. Parametric Probability Distributions
5. Frequentist Statistical Inference
6. Bayesian Inference
7. Statistical Forecasting
8. Ensemble Forecasting
9. Forecast Verification
10. Time Series III Multivariate Statistics
11. Matrix Algebra and Random Matrices
12. The Multivariate Normal (MVN) Distribution
13. Principal Component (EOF) Analysis
14. Multivariate Analysis of Vector Pairs
15. Discrimination and Classification
16. Cluster Analysis
Appendix
A. Example Data Sets
B. Probability Tables
C. Symbols and Acronyms
D. Answers to Exercises
