This course provides an elementary introduction to probability and statistics. The topics that we cover in the course include:
- Elements of discrete probability
- Random variables: discrete, continuous
- A brief introduction to R
- Expectation, variance, covariance, and moment generating functions
- Probabilistic inequalities: Markov, Chebyshev
- Weak variant of law of large numbers
- Special probability distributions
- Uniform, Bernoulli, Binomial, Negative Binomial, Geometric, Poisson, Normal
- Some distributions arising from Normal: Gamma, Chi-square, t-distribution
- Generating discrete/continuous distributions
- Descriptive statistics
- Distribution of sampling statistics
- Central Limit Theorem
- Parameter Estimation
- Hypothesis Testing
- Regression
mahavir.jhawar@ashoka.edu.in