# Methods of Statistical Analysis and Pattern Recognition with Applications in Particle Physics

### Methods of Statistical Analysis and Pattern Recognition with Applications in Particle Physics

 Code: 205103 ECTS: 0.0 Lecturers in charge: izv. prof. dr. sc. Vuko Brigljević - Lectures Take exam: Studomat

### 1. komponenta

Lecture typeTotal
Lectures 15
Exercises 15
Description:
Overview of basic concepts of probability theory (Literature: Barlow, chapters 3, 4 and 7.1). 1: Definitions of probability: freqentist and Bayesian, 2-5: Probability distributions, 6: Errors
Model estimation (Literature: Barlow, chapters 5-6) 7: Properties of estimators, 8-9: Method of least squares, 10-12: Method of maximal probability, 13: Method of moments, 14: Estimation with constraints (kinematic approximation), 15-16: Convolution and unfolding, 17: Estimation via Monte Carlo weight variation

Confidence (Literature: Barlow, chapter 7.2) 18: Confidence levels and intervals, 19: Neyman construction, Confidence intervals for binomial and Poisson data, 20: Confidence intervals for method of maximal probability and least squares method; confidence interval close to physical limit, 21: Multidimensional confidence interval

Decision making (Literature: Barlow, chapter 8) 22: Hypotheses, errors type I and II, statistical significance, 23: Neyman Pearson test, 24: Interpretation of results, nul-hypothesis, statistical significance of signal

Selected multivariate analysis methods (Literature: Hastie, chapters 7-11) 25: Types of multivariate problems, choice of variables,
26-27: Neural networks, 28-29: Decision trees, 30: Overview of other methods
Literature:
1. R.J. Barlow, Statistics - A guide to the Use of Statistical Methods in the Physical Sciences, Wiley, 1989.
 1. semester Fizika elementarnih čestica - Izborni predmeti - Mandatory smjer - Elementary particle physics
Consultations schedule: