SemesterFall Semester, 2025
DepartmentMA Program of Mathematical Sciences, First Year PhD Program of Mathematical Sciences, First Year
Course NameIntroduction to renewal processes
InstructorHONG JYY-I
Credit3.0
Course TypeElective
Prerequisite
Course Objective
Course Description
Course Schedule

1. Required time commitment: 



    In-class: 3 hours/week



    Out-class: 5 hours/week



 



2. Weekly Topics:



    Week 1: Introduction



    Week 2: Renewal Processes and Examples



    Week 3: Renewal Processes and Examples



    Week 4: Renewal Processes and Examples



    Week 5: No Class



    Week 6: Renewal Function and Renewal Equation



    Week 7: Renewal Function and Renewal Equation



    Week 8: Renewal Function and Renewal Equation



    Week 9: Renewal Theory



    Week 10: Renewal Theory



    Week 11: Renewal Theory



    Week 12: Renewal Theory



    Week 13: Residual Lifetime, Age and Total Lifetime



    Week 14: Residual Lifetime, Age and Total Lifetime



    Week 15: Residual Lifetime, Age and Total Lifetime



    Week 16: Final Exam



   



The above course plan may vary depending on the actual teaching circumstances.



 



3. Weekly Readings/Assigments: Weekly lecture notes.


Teaching Methods
Teaching Assistant

TBA


Requirement/Grading

Class Participation: 60%



Final Exam (tentatively scheduled on 2025/12/15): 40%



 



 


Textbook & Reference

Textbook:



N/A



References:




  1. Measure Theory and Probability Theory by K. B. Athreya, K. B. and S. Lahiri


Urls about Course
Attachment