Probability and Statistics for Physical Sciences, Second Edition is an accessible guide to commonly used concepts and methods in statistical analysis used in the physical sciences. This brief yet systematic introduction explains the origin of key techniques, providing mathematical background and useful formulas. The text does not assume any background in statistics and is appropriate for a wide-variety of readers, from first-year undergraduate students to working scientists across many disciplines.
1. Probability and Statistics for Physical Sciences - p. Page i 2. Cover - p. Page i 3. Front Matter - p. Page ii 4. Table of Contents - p. Page iii 5. Copyright - p. Page iv 6. Preface - p. Page iv 7. Acknowledgments - p. Page vii 8. List of Illustrations - p. Page viii 9. List of Tables - p. Page ix 10. CHAPTER 1 : Statistics, experiments, and data - p. Page ix 11. CHAPTER 2 : Probability - p. Page 28 12. CHAPTER 3 : Probability distributions I: Basic concepts - p. Page 46 13. CHAPTER 4 : Probability distributions II: Examples - p. Page 72 14. CHAPTER 5 : Sampling and estimation - p. Page 103 15. CHAPTER 6 : Sampling distributions associated with the normal distribution - p. Page 141 16. Chapter 7 : Parameter estimation I: Maximum likelihood and minimum variance - p. Page 165 17. CHAPTER 8 : Parameter estimation II: Least-squares and other methods - p. Page 191 18. CHAPTER 9 : Interval estimation - p. Page 229 19. CHAPTER 10 : Hypothesis testing I: Parameters - p. Page 254 20. CHAPTER 11 : Hypothesis testing II: Other tests - p. Page 288 21. Appendix A : Miscellaneous mathematics - p. Page 313 22. Appendix B : Optimization of nonlinear functions1 - p. Page 324 23. Appendix C : Statistical tables - p. Page 333 24. Appendix D : Answers to selected problems - p. Page 369 25. Bibliography - p. Page 382 26. Index - p. Page 382
Probability and Statistics for Physical Sciences, Second Edition is an accessible guide to commonly used concepts and methods in statistical analysis used in the physical sciences. This brief yet systematic introduction explains the origin of key techniques, providing mathematical background and useful formulas. The text does not assume any background in statistics and is appropriate for a wide-variety of readers, from first-year undergraduate students to working scientists across many disciplines.
1. Probability and Statistics for Physical Sciences - p. Page i 2. Cover - p. Page i 3. Front Matter - p. Page ii 4. Table of Contents - p. Page iii 5. Copyright - p. Page iv 6. Preface - p. Page iv 7. Acknowledgments - p. Page vii 8. List of Illustrations - p. Page viii 9. List of Tables - p. Page ix 10. CHAPTER 1 : Statistics, experiments, and data - p. Page ix 11. CHAPTER 2 : Probability - p. Page 28 12. CHAPTER 3 : Probability distributions I: Basic concepts - p. Page 46 13. CHAPTER 4 : Probability distributions II: Examples - p. Page 72 14. CHAPTER 5 : Sampling and estimation - p. Page 103 15. CHAPTER 6 : Sampling distributions associated with the normal distribution - p. Page 141 16. Chapter 7 : Parameter estimation I: Maximum likelihood and minimum variance - p. Page 165 17. CHAPTER 8 : Parameter estimation II: Least-squares and other methods - p. Page 191 18. CHAPTER 9 : Interval estimation - p. Page 229 19. CHAPTER 10 : Hypothesis testing I: Parameters - p. Page 254 20. CHAPTER 11 : Hypothesis testing II: Other tests - p. Page 288 21. Appendix A : Miscellaneous mathematics - p. Page 313 22. Appendix B : Optimization of nonlinear functions1 - p. Page 324 23. Appendix C : Statistical tables - p. Page 333 24. Appendix D : Answers to selected problems - p. Page 369 25. Bibliography - p. Page 382 26. Index - p. Page 382
