Probability and Statistics in the Physical Sciences

ISBN-13: 9783030536930 / Angielski / Miękka / 2020 / 285 str.

Byron P. Roe

Recenzje

"The depth and the manner in which the material is treated will make it easy for the students to transition to more advanced topics such as deep learning, machine learning and artificial intelligence after perusing the book. ... Roe's book is a wonderful, forward looking introduction to probability and statistics and its applications. Hence, I have no hesitations whatsoever in recommending the book - both to the students and instructors." (Mogadalai P Gururajan, Contemporary Physics, August 19, 2021)

Spis treści

1. Front Matter

Pages i-xi

2. Basic Probability Concepts

3. Some Initial Definitions

4. Some Results Independent of Specific Distributions

5. Discrete Distributions and Combinatorials

6. Specific Discrete Distributions

7. The Normal (or Gaussian) Distribution and Other Continuous Distributions

8. Generating Functions and Characteristic Functions

9. The Monte Carlo Method: Computer Simulation of Experiments

10. Queueing Theory and Other Probability Questions

11. Two-Dimensional and Multidimensional Distributions

12. The Central Limit Theorem

13. Inverse Probability; Confidence Limits

14. Methods for Estimating Parameters. Least Squares and Maximum Likelihood

15. Curve Fitting

16. Bartlett S Function; Estimating Likelihood Ratios Needed for an Experiment

17. Interpolating Functions and Unfolding Problems

18. Fitting Data with Correlations and Constraints

19. Beyond Maximum Likelihood and Least Squares; Robust Methods

20. Back Matter

O autorze

Byron P. Roe is Professor Emeritus of Physics at the University of Michigan. He is a specialist in Experimental Nuclear and Subatomic Physics and Experimental Elementary Particle Physics. Professor Roe worked on an extensive number of experiments at Fermilab, CERN, and Argonne for more than 50 years and was often the spokesperson or co-spokesperson for these experiments. He has worked with the MiniBooNE neutrino experiment for almost 20 years. He is a Fellow of the American Physical Society.

Blurb

This book, now in its third edition, offers a practical guide to the use of probability and statistics in experimental physics that is of value for both advanced undergraduates and graduate students. Focusing on applications and theorems and techniques actually used in experimental research, it includes worked problems with solutions, as well as homework exercises to aid understanding. Suitable for readers with no prior knowledge of statistical techniques, the book comprehensively discusses the topic and features a number of interesting and amusing applications that are often neglected. Providing an introduction to neural net techniques that encompasses deep learning, adversarial neural networks, and boosted decision trees, this new edition includes updated chapters with, for example, additions relating to generating and characteristic functions, Bayes’ theorem, the Feldman-Cousins method, Lagrange multipliers for constraints, estimation of likelihood ratios, and unfolding problems.