Selected problems in elementary particle physics 1101-4FJ27

Lecture advises student on the basic concepts of statistical analyses of data as seen in lthe iterature on nuclear and elementary particle physics and presents these methods within the framework of probability calculus and mathematical statistics. Course comprises the following subjects:
1. Random variable and distributions
2. Conditional probability and statistical independence
3. Multidimensional random variables
4. Transformation of random variable and distributions
5. Moments of random variables
6. Sample moments of random variables
7. Properties of estimators
8. Method of moments
9. Maximum likelihood method

Mode

Classroom

Prerequisites (description)

Addressed to the students participating in an academic course on Nuclear and Particle Physics and planning to obtain Master’s degree. Courses in an elementary calculus and obligatory laboratory practical on the Bachelor’s level are treated as prerequisite.

Learning outcomes

Knowledge
Student knows basic methods of statistical analyses of data
Student understands limitations of these methods

Competence
Student identifies problems of data analyses in terms of statistical mathematics
Student is able to implement basic methods of statistical analyses of data in simple cases
Student knows how to interpret results of such analyses

Assessment criteria

One colloquium in the middle of the term and final written examination - person passes if points collected from colloquium and exam (weighted in 1:1 ratio) sum to minimum 50%. Assessment in September will rest on written examination only and will require a candidate to gain minimum 50% of points. Marks will be awarded according to the following algoritm:
50% ≤ p < 60%: grade 3 (dst),
60% ≤ p < 70%: grade 3,5 (dst+),
70% ≤ p < 80%: grade 4 (db),
80% ≤ p < 90%: grade 4,5 (db+),
90% ≤ p ≤ 100%: grade 5 (bdb).

Practical placement

none

Bibliography

Literatura
1. S. Brandt, Analiza danych, Wydawnictwo Naukowe PWN, Warszawa, 1998;
2. W. Klonecki, Statystyka dla inżynierów, Wydawnictwo Naukowe PWN, Warszawa, 1999;
3. T. Eadie, D. Drijard, F. E. James, M. Roos i B. Sadoulet, Metody statystyczne w fizyce doświadczalnej, PWN, Warszawa, 1989;
4. R. Nowak, Statystyka dla fizyków, Wydawnictwo Naukowe PWN, Warszawa, 2002;
5. F.E. James, Statistical Methods in Experimental Physics, 2nd ed., World Scientific, Singapore, 2007;
6. G. Cowan, Statistical Data Analysis, Oxford University Press, Oxford, 1998;
7. P. R. Bevington i D. K. Robinson, Data Reduction and Error Analysis for Physical Sciences, McGraw - Hill, New York, 1992;
8. A. G. Frodesen, O. Skjeggestad i M. Tofte, Probability and Statistics in Particle Physics, Universitetsforlaget, Bergen – Oslo – Tromso, 1979;
9. R. J. Barlow, Statistics. A Guide to the Use of Statistical Methods in the Physical Sciences, J. Wiley & Sons Ltd., New York, 1989;
10. L. Lyons, Statistics for Nuclear and Particle Physicists, Cambridge University Press, 1992;
11. B. P. Roe, Probability and Statistics in Experimental Physics, Springer – Verlag, New York, 1992;
12. B. R. Martin, Statistics for Physicists, Academic Press, London and New York, 1971;
13. Particle Data Group: Review of particle physics: reviews, tables, and plots - Mathematical tools [http://pdg.web.cern.ch/pdg/pdg.html]