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Probability and Statistics in Experimental Physics

  • Textbook
  • © 1992

Overview

Authors:
  1. Byron P. Roe

    1. Randall Laboratory of Physics, Ann Arbor, USA

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Table of contents (17 chapters)

  1. Front Matter

    Pages i-x
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  2. Basic Probability Concepts

    • Byron P. Roe
    Pages 1-4

  3. Some Initial Definitions

    • Byron P. Roe
    Pages 5-13

  4. Some Results Independent of Specific Distributions

    • Byron P. Roe
    Pages 14-26

  5. Discrete Distributions and Combinatorials

    • Byron P. Roe
    Pages 27-32

  6. Specific Discrete Distributions

    • Byron P. Roe
    Pages 33-41

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

    • Byron P. Roe
    Pages 42-53

  8. Generating Functions and Characteristic Functions

    • Byron P. Roe
    Pages 54-61

  9. The Monte Carlo Method: Computer Simulation of Experiments

    • Byron P. Roe
    Pages 62-74

  10. Two Dimensional and Multi-Dimensional Distributions

    • Byron P. Roe
    Pages 75-89

  11. The Central Limit Theorem

    • Byron P. Roe
    Pages 90-101

  12. Inverse Probability; Confidence Limits

    • Byron P. Roe
    Pages 102-117

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

    • Byron P. Roe
    Pages 118-134

  14. Curve Fitting

    • Byron P. Roe
    Pages 135-160

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

    • Byron P. Roe
    Pages 161-172

  16. Interpolating Functions and Unfolding Problems

    • Byron P. Roe
    Pages 173-179

  17. Fitting Data with Correlations and Constraints

    • Byron P. Roe
    Pages 180-188

  18. Beyond Maximum Likelihood and Least Squares; Robust Methods

    • Byron P. Roe
    Pages 189-200

  19. Back Matter

    Pages 201-208
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About this book

This book is meant to be a practical introduction into the use of probability and statistics in experimental physics for advanced undergraduate students and for graduate students. I have attempted to write a short book. It is not intended as a comprehensive text in probability and statistics. I have tried to emphasize areas I have found to be useful when doing experimental physics. Except for the first two chapters the emphasis is on applications and understanding. I have omitted proofs of formal theorems in the interests of brevity unless I felt the proof added to one's intuition in understanding and applying the theorem. Since, however, this is a field in which there are often a number of misunderstandings, it is necessary to state some things with reasonable precision. I have tried to do this when necessary. I assume the student is familiar with partial derivatives and with ele­ mentary matrix manipulation. A computer is a needed tool for probability and statistics in experimental physics. We will introduce its use in this subject in some of the homework problems. One may interact with a computer in a batch mode or an inter­ active mode. In a batch mode, one submits FORTRAN or other language programs, the computer processes them, and returns the end results. In the interactive mode, one gives the computer an instruction, the computer processes it, indicates what it has done, and waits for the next instruction.

Authors and Affiliations

  • Randall Laboratory of Physics, Ann Arbor, USA

    Byron P. Roe

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