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Statistics for Nuclear and Particle Physicists - Louis Lyons

Statistics for Nuclear and Particle Physicists

Paperback Published: 5th June 1989
ISBN: 9780521379342
Number Of Pages: 240

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Written by a non-statistician for non-statisticians, the book emphasizes the practical approach to those problems in statistics that arise regularly in data analysis situations in nuclear and high energy physics experiments. Rather than concentrate on proofs and theorems, the author provides an abundance of simple examples that illustrate the general ideas presented. This allows the reader to obtain maximum information in the simplest manner. Possible difficulties with the various techniques, and pitfalls to be avoided, are also discussed. This commonsense approach to statistical formalism enables nuclear physicists to better understand how to do justice to their analysis and interpretation of data.

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'The book should be essential reading ... for all graduate students in the field and will be welcomed by their supervisors.' Contemporary Physics 'It should be a valuable tool in any physical scientist's armour.' The Australian Physicist

Prefacep. xi
Experimental errorsp. 1
Why do we do experiments?p. 1
Why estimate errors?p. 1
Random and systematic errorsp. 3
The meaning of [sigma]p. 7
Distributionsp. 7
Mean and variancep. 9
Gaussian distributionp. 13
Combining errorsp. 16
Linear situationsp. 16
Non-linear situationsp. 23
Combining results of different experimentsp. 25
Probability and statisticsp. 30
Probabilityp. 30
Rules of probabilityp. 32
Statisticsp. 35
Distributionsp. 39
Binomialp. 39
Poissonp. 41
Gaussian distributionp. 47
Gaussian distribution in two variablesp. 53
Using the error matrixp. 62
Specific examples of error matrix manipulationsp. 65
Parameter fitting and hypothesis testingp. 74
Normalisationp. 75
Interpretation of estimatesp. 77
Meaning of error estimatesp. 77
Upper limitsp. 78
Estimates outside the physical rangep. 80
The method of momentsp. 81
Maximum likelihood methodp. 85
What is it? Some simple examplesp. 85
The logarithm of the likelihood function, and error estimatesp. 88
Comments on the maximum likelihood methodp. 91
Several parametersp. 96
Extended maximum likelihood methodp. 98
Least squaresp. 102
What is it?p. 102
Notes on the least squares methodp. 106
Correlated errors for y[subscript i]p. 109
Hypothesis testingp. 111
Use of weighted sum of squared deviationsp. 111
Types of hypothesis testingp. 115
Minimisationp. 120
Detailed examples of fitting proceduresp. 125
Least squares fittingp. 125
Function linear in parameters - the straight linep. 125
General least squares casep. 133
Straight line fit to points with errors on x and yp. 137
Kinematic fittingp. 142
General commentsp. 142
Actual fit in a simplified casep. 144
Fit involving unmeasured variablesp. 147
Maximum likelihood determination of Breit-Wigner parametersp. 152
Monte Carlo calculationsp. 161
Introductionp. 161
What is it?p. 161
Random numbersp. 162
Why do Monte Carlo calculations?p. 163
Accuracy of Monte Carlo calculationsp. 164
More than one dimensionp. 167
An integral by Monte Carlo methodsp. 168
Very simple applications of Monte Carlo calculationsp. 171
Evaluation of [pi]p. 171
Mean transverse momentump. 172
Non-uniform distributions and correlated variablesp. 174
Typical uses of the Monte Carlo techniquep. 181
Designing experimentsp. 181
Testing programsp. 183
Contamination estimatesp. 184
Geometrical correction factorsp. 185
Do theory and experiment agree?p. 185
Resonance or statistical fluctuation?p. 186
Phase space distributionsp. 189
Matrix elementsp. 190
Parameter determinationp. 190
Detailed examplesp. 191
Geometrical correction factorsp. 191
Physicsp. 197
Non-physics applicationsp. 200
How to save yourself a fortunep. 200
The Garden of Eden problemp. 200
Background subtraction proceduresp. 204
The number of constraints in kinematic fittingp. 211
Bibliographyp. 223
Indexp. 224
Table of Contents provided by Syndetics. All Rights Reserved.

ISBN: 9780521379342
ISBN-10: 0521379342
Audience: Tertiary; University or College
Format: Paperback
Language: English
Number Of Pages: 240
Published: 5th June 1989
Publisher: CAMBRIDGE UNIV PR
Country of Publication: GB
Dimensions (cm): 23.06 x 16.0  x 1.75
Weight (kg): 0.37

Earn 148 Qantas Points
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