Stat. 574 (Survival Analysis), Course Outlines
The Instructor
Dr. Hanan M. Aly
Course Objectives
The objectives of this course is to expose the student to the basic concepts of reliability (or survival) models and statistical inference for various probability models and methods used in life testing and reliability assessment, including parametric and nonparametric models, and classical and Bayesian inference procedures.
Evaluation
There will be two interm exams; each of them will cover a predetermined material. The student should do the homework and the assignments. Final exam will include all topics covered in the lectures. The distribution of points one can earn toward a final grade will be as follows:
Criteria 
Total mark 
Comments 
Homework 
5 

Assignments 
5 

Interm exam 1 
12 

Interm exam 2 
8 

Final Project Presentation (individual or group) 
10 
About 10 minutes presentation and 5 minutes discussion will be held at the end of the term. 
Final Exam 
60 

Total 
100 

Textbooks
1 Kalbfleish, J. D. and Prentice, R. L. (2002). The Statistical Analysis of Failure Time Data. Wiley, New York.
2 Lawless, J. F. (2003). Statistical Models and Methods for Lifetime Data, Wiley, New Jersey.
3 Lee, E. T. and Wang, J. W. (2003). Statistical Methods for Survival Data Analysis, Wiley, New Jersey.
4 Leemis, L. M. (1995). Reliability, Probabilistic Models and Statistical Methods, PrenticeHall. New Jersey.
Course Contents
* A Brief Introduction to Reliability (Survival Analysis)
Statistical Background
Basic Statistical Definitions
The Probability Density and Cumulative Distribution Functions
The Reliability Function
The Failure Rate Function
The Mean Life Function
The Median Life Function
* Data Types
Complete Data
Censored Data
* Distributions
The Exponential Distribution
The Weibull Distribution
The Gamma Distribution
Other Distributions
* Parameter Estimation
MLE (Maximum Likelihood) Parameter Estimation for Complete Data
Analysis & Parameter Estimation Methods for Censored Data
Bayesian Methods
Nonparametric Life Data Analysis
* Other Topics
The Proportional Hazards Model
Accelerated Life Test