Material for SERC 2015 (Statistical Methods)

Course Material :

• Slide of the first lecture.
• Code for calculating moments moments.C
• Code for random numbers lcg2.C
• Notes on C++ [pdf]
• Codes for Maximum Likelihood Estimation of parameters fitexp.C, fitexppretty.C. This is relevant for Problem Sheet 3.
• Code 2-d ML method for gaussian distribution my_fitgauss.C.
• Code for generating correlated random numbers covariance.C. Relavant for Problem Sheet 4.
• Code for Log-Likelihood-Ration (LLR) method of hypothesis testing testexpllr.C. Relavant for Problem Sheet 4.
• Example code for writing class in C++ complexV1.C
• Code for Monte-Carlo estimation of value of pi my_pi.C
• Code for binned likelihood maximization for exponential pdf fitexpbinned.C
• Code for resonance hunting using binned likelihood method, with background only and signal+background hypothesis. fitexpgausbinned1.C
• Code for simulating nuclear decay as a function of time NuclearDecay.C
• Example code for MCMC (MLM for Gaussian data) fit_gausmcmc.C

Problem Sheets:

• Problem Sheet 2
• Problem Sheet 3
• Problem Sheet 4

Suggested Text/Reference Books :

1. Glen Cowan, Statistical Data Analysis, Oxford, 1998
2. Glen Cowan, Statistics for Searches at the LHC, arXiv:1307.2487
3. Kyle Cranmer, Practical Statistics for the LHC, arXiv:1503.07622
4. H. B. Prosper, Practical Statistics for Particle Physicists, arXiv:1504.00945
5. Website for C++ introduction