Week - 1 |
Vector of random variables and distributions of random vectors |
Week - 2 |
Marginal and conditional distributions |
Week - 3 |
Conditional expected value and variance |
Week - 4 |
Bivariate normal distribution and properties |
Week - 5 |
Distributions of functions of random variables |
Week - 6 |
Distribution function and transformation technique |
Week - 7 |
Moment generating technique |
Week - 8 |
Concepts of population, parameter and estimator |
Week - 9 |
Properties of sample mean and variance |
Week - 10 |
Sampling distributions: Chi-Square, Student t and F distributions |
Week - 11 |
Convergences |
Week - 12 |
Convergence in probability, convergence almost surely and law of large numbers |
Week - 13 |
Convergence in distribution and central limit theorem |
Week - 14 |
Order statistics and some related sample statistics |