General	Syllabus
	List of Stories of the Data sets
	Homeworks and Exams
Some Basic Ideas and Concepts	Introduction to ESMA 5015
R	Some Commands in R
Probability	Introduction
	Conditional Probability and Independence
	Random Variables and Random Vectors
	Expectation of a R.V.
	Functions of a R.V. - Transformations
	Limit Theorems
Some Standard Distributions	Discrete Distributions
	Continuous Distributions
	Distribution Arising in Statistics
Generating Random Variables	General Methods
	Special Cases
Basic Statistics	Estimation
	Hypothesis Testing
	Power of a Hypothesis Test
	Bayesian Statistics
Estimation	Properties of Estimators
	Methods for Finding Estimators
Hypothesis Testing	Methods for Finding Hypothesis Tests
	Some Standard Hypothesis Tests
Interval Estimation	Methods for Finding Interval Estimates
Stochastic Processes	Discrete - Time Markov Chains
	MCMC - Markov Chain Monte Carlo
	Poisson Process
	Brownian Motion and Stationary Processes
The Bootstrap	Idea and Applications