| Week |
Tuesday |
Thursday |
| 1
(4th September) |
Probability
Introduction |
Random
Variables |
| 2
(11th September) |
Univariate
Distributions |
Univariate/Multivariate
Distributions |
| 3
(18th September) |
Joint/Marginal
Distributions |
Joint Distributions |
| 4
(25th September) |
Transformations |
Transformations and Expectations |
| 5 (2nd
October) |
Generating Functions and Properties |
Characteristic Functions |
| 6
(9th
October) |
Thanksgiving: No lecture |
Characteristic Functions |
| 7
(16th
October) |
Location-Scale Family |
Exponential Family |
| 8
(23rd October) |
Exponential Family Properties |
Mid Term (26th) |
| 9
(30th October) |
Exponential-Dispersion Models |
Hierarchical Models |
| 10
(6th November) |
Hierarchical Models: Mixtures |
Hierarchical Models: Sums, Scale Mixtures |
| 11
(13th
November) |
Inequalities |
Sampling Distributions |
| 12
(20th
November) |
Convergence: Convergence in Distribution |
Convergence in Prob./a.s./rth mean |
| 13
(27th
November) |
Asymptotic Approximations |
Asymptotic Distribution of Sample Quantiles |
| 14
(4th
December) |
Final Examination (8th December) |