Probability and Statistics in Experimental Physics

ISBN-10: 0387951636

ISBN-13: 9780387951638

Edition: 2nd 2001 (Revised)

Authors: Byron P. Roe

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Description:

Intended for advanced undergraduates and graduate students, this book is a practical guide to the use of probability and statistics in experimental physics. The emphasis is on applications and understanding, on theorems and techniques actually used in research. The text is not a comprehensive text in probability and statistics; proofs are sometimes omitted if they do not contribute to intuition in understanding the theorem. The problems, some with worked solutions, introduce the student to the use of computers; occasional reference is made to routines available in the CERN library, but other systems, such as Maple, can also be used.Topics covered include: basic concepts; definitions; some simple results independent of specific distributions; discrete distributions; the normal and other continuous distributions; generating and characteristic functions; the Monte Carlo method and computer simulations; multi-dimensional distributions; the central limit theorem; inverse probability and confidence belts; estimation methods; curve fitting and likelihood ratios; interpolating functions; fitting data with constraints; robust estimation methods.This second edition introduces a new method for dealing with small samples, such as may arise in search experiments, when the data are of low probability. It also includes a new chapter on queuing problems (including a simple, but useful buffer length example). In addition new sections discuss over- and under-coverage using confidence belts, the extended maximum-likelihood method, the use of confidence belts for discrete distributions, estimation of correlation coefficients, and the effective variance method for fitting y = f(x) when both x and y have measurement errors.A complete Solutions Manual is available.
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Book details

List price: $119.00
Edition: 2nd
Copyright year: 2001
Publisher: Springer
Publication date: 6/21/2001
Binding: Hardcover
Pages: 252
Size: 6.25" wide x 8.25" long x 0.25" tall
Weight: 1.188

Preface
Basic Probability Concepts
Some Initial Definitions
Some Results Independent of Specific Distributions
Discrete Distributions and Combinatorials
Specific Discrete Distributions
The Normal (or Gaussian) Distribution and Other Continuous Distributions
Generating Functions and Characteristic Functions
The Monte Carlo Method: Computer Simulation of Experiments
Queueing Theory and Other Probability Questions
Two-Dimensional and Multidimensional Distributions
The Central Limit Theorem
Inverse Probability; Confidence Limits
Methods for Estimating Parameters. Least Squares and Maximum Likelihood
Curve Fitting
Bartlett S Function; Estimating Likelihood Ratios Needed for an Experiment
Interpolating Functions and Unfolding Problems
Fitting Data with Correlations and Constraints
Beyond Maximum Likelihood and Least Squares; Robust Methods
References
Index
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