Statistical methods in the atmospheric sciences [[electronic resource] /] / D.S. Wilks

• Record Nr.: UNINA9910784566603321
• Autore: Wilks Daniel S
• Pubbl/distr/stampa: Amsterdam ; ; Boston, : Academic Press, c2006
• ISBN: 1-280-64150-9; 9786610641505; 0-08-045622-7
• Edizione: [2nd ed.]
• Descrizione fisica: 1 online resource (649 p.)
• Collana: International geophysics series ; ; v. 91
• Disciplina: 551.5
• Soggetti: Atmospheric physics - Statistical methods
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references (p. 587-610) and index.
• Nota di contenuto: Front Cover; Statistical Methods in the Atmospheric Sciences; Copyright Page; Contents; Preface to the First Edition; Preface to the Second Edition; PART I: Preliminaries; CHAPTER 1. Introduction; 1.1 What Is Statistics?; 1.2 Descriptive and Inferential Statistics; 1.3 Uncertainty about the Atmosphere; CHAPTER 2. Review of Probability; 2.1 Background; 2.2 The Elements of Probability; 2.3 The Meaning of Probability; 2.4 Some Properties of Probability; 2.5 Exercises; PART II: Univariate Statistics; CHAPTER 3. Empirical Distributions and Exploratory Data Analysis; 3.1 Background; 3.2 Numerical Summary Measures3.3 Graphical Summary Techniques; 3.4 Reexpression; 3.5 Exploratory Techniques for Paired Data; 3.6 Exploratory Techniques for Higher-Dimensional Data; 3.7 Exercises; CHAPTER 4. Parametric Probability Distributions; 4.1 Background; 4.2 Discrete Distributions; 4.3 Statistical Expectations; 4.4 Continuous Distributions; 4.5 Qualitative Assessments of the Goodness of Fit; 4.6 Parameter Fitting Using Maximum Likelihood; 4.7 Statistical Simulation; 4.8 Exercises; CHAPTER 5. Hypothesis Testing; 5.1 Background; 5.2 Some Parametric Tests; 5.3 Nonparametric Tests; 5.4 Field Significance and Multiplicity5.5 Exercises; CHAPTER 6. Statistical Forecasting; 6.1 Background; 6.2 Linear Regression; 6.3 Nonlinear Regression; 6.4 Predictor Selection; 6.5 Objective Forecasts Using Traditional Statistical Methods; 6.6 Ensemble Forecasting; 6.7 ; Subjective Probability Forecasts; 6.8 Exercises; CHAPTER 7. Forecast Verification; 7.1 Background; 7.2 Nonprobabilistic Forecasts of Discrete Predictands; 7.3 Nonprobabilistic Forecasts of Continuous Predictands; 7.4 Probability Forecasts of Discrete Predictands; 7.5 Probability Forecasts for Continuous Predictands; 7.6 Nonprobabilistic Forecasts of Fields7.7 Verification of Ensemble Forecasts; 7.8 Verification Based on Economic Value; 7.9 Sampling and Inference for Verification Statistics; 7.10 Exercises; CHAPTER 8. Time Series; 8.1 Background; 8.2 Time Domain-I. Discrete Data; 8.3 Time Domain-II. Continuous Data; 8.4 Frequency Domain-I. Harmonic Analysis; 8.5 Frequency Domain-II. Spectral Analysis; 8.6 Exercises; PART III: Multivariate Statistics; CHAPTER 9. Matrix Algebra and Random Matrices; 9.1 Background to Multivariate Statistics; 9.2 Multivariate Distance; 9.3 Matrix Algebra Review; 9.4 Random Vectors and Matrices9.5 Exercises; CHAPTER 10. The Multivariate Normal (MVN) Distribution; 10.1 Definition of the MVN; 10.2 Four Handy Properties of the MVN; 10.3 Assessing Multinormality; 10.4 Simulation from the Multivariate Normal Distribution; 10.5 Inferences about a Multinormal Mean Vector; 10.6 Exercises; CHAPTER 11. Principal Component (EOF) Analysis; 11.1 Basics of Principal Component Analysis; 11.2 Application of PCA to Geophysical Fields; 11.3 Truncation of the Principal Components; 11.4 Sampling Properties of the Eigenvalues and Eigenvectors; 11.5 Rotation of the Eigenvectors
• Sommario/riassunto: Praise for the First Edition:""I recommend this book, without hesitation, as either a reference or course text...Wilks' excellent book provides a thorough base in applied statistical methods for atmospheric sciences.""--BAMS (Bulletin of the American Meteorological Society)Fundamentally, statistics is concerned with managing data and making inferences and forecasts in the face of uncertainty. It should not be surprising, therefore, that statistical methods have a key role to play in the atmospheric sciences. It is the uncertainty in atmospheric behavior that continues to move res