SI 543: Asymptotic Statistics

Class Timings: 

• Lectures: Tuesdays and Fridays 2:00 PM - 3:25 PM in MA 118

• Tutorials: Wednesdays 3:00 PM - 3:55 PM in MA 216

Grading Policy: Weightages will be as follows

• Mid-sem Exam: 30% 

• End-Sem Exam: 40%

• Quiz: 30%

Main Reference: 

• A Course in Large Sample Theory written by Thomas S. Ferguson

• Students should be regular in the class and write down the lecture-notes on a regular basis.

Syllabus:

• Review of convergence concepts in probability. 

• Delta-method and variance stabilizing transformations. 

• Asymptotic properties of sample moments and quantiles and related inference procedures. 

• Asymptotic distribution of order statistics and extreme observations. Asymptotic efficiency of estimators. 

• Asymptotic properties of the likelihood-based estimators and related inference procedures (only the results - no proof will be given).

Exercises:

• Problem-solving exercises will be given in the class on a regular basis.

• Quizzes and both exams will have a few problems similar to the exercises given in the class.

• Students do NOT need to submit the solutions to the exercises given in the class. However, it is strongly recommended to solve them all and write down the solutions for better performance in the quizzes and exams.

Quizzes:

• Quizzes will be given (mostly) in the tutorials. 

• At least 4 quizzes will be given.

• All the quizzes will be announced in the class at least a day in advance. 

• The worst quiz score will be dropped from the grade calculation.

• Both mid-sem and end-sem exams will have a few problems similar to the ones given in the quizzes.

Exams:

• Both mid-sem and end-sem exams will be closed-note exams.

• A significant portion of the exam questions will be similar to the exercises given in the class and the quizzes.