DAMP Physics, IITB

Instructor Name: Vikram Rentala  Course Type: Theory Pre-requisites: Matrix algebra, Integration and Differentiation Course Content: Probability Theory - Axioms and Bayes' Theorem Probability Density/Distribution Functions and their characteristics (mean, variance etc.) - Exponential, Gaussian, Poisson Transformation of random variables Multivariate probability density/distribution function Contour Plots Correlation, Covariance and Independence Reduction of number of variates Probability Distributions - Bernoulli, Binomial, Multinomial, Uniform Central Limit Theorem Multidimensional Gaussian random variables Chi squared distribution and fitting experimental data Measurement Errors Averaging measurements (including correlation) Statistical Inference - drawing conclusions from data Likelihood and maximum likelihood estimate Other topics covered: Books: Introduction to Statistics and Data Analysis for Physicists - G. Bohm and G. Zech Lectures: Attendance w...