Table of Contents

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

II Univariate Statistics
Chapter 3 Empirical Distributions and Exploratory Data Analysis
 3.1 Background
 3.2 Numerical Summary Measures
 3.3 Graphical Summary Devices
 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 Frequentist Statistical Inference
 5.1. Background
 5.2 Some Commonly Encountered Parametric Tests
 5.3 Nonparametric Tests
 5.4 Multiplicity and "Field Significance"
 5.5. Exercises

Chapter 6 Bayesian Inference
 6.1 Background
 6.2 The Structure of Bayesian Inference
 6.3 Conjugate Distributions
 6.4 Dealing With Difficult Integrals
 6.5 Exercises

Chapter 7 Statistical Forecasting
 7.1 Background
 7.2 Linear Regression
 7.3 Nonlinear Regression 
 7.4 Predictor Selection
 7.5 Objective Forecasts Using Traditional Statistical Methods
 7.6 Ensemble Forecasting
 7.7 Ensemble MOS
 7.8 Subjective Probability Forecasts
 7.9 Exercises

Chap

Details

No. of pages:
704
Language:
English
Copyright:
© 2011
Published:
Imprint:
Academic Press
Print ISBN:
9780123850225
Electronic ISBN:
9780123850232

About the editor

Daniel Wilks

Has been a member of the Atmospheric Sciences faculty at Cornell University since 1987, and is the author of Statistical Methods in the Atmospheric Sciences (2011, Academic Press), which is in its third edition and has been continuously in print since 1995. Research areas include statistical forecasting, forecast postprocessing, and forecast evaluation.