Course Outline

UNIT 1. INTRODUCTION

1. Why Study Survival Analysis?
2. Examples of survival data

UNIT 2. BASIC QUANTITIES AND MODELS

1. The Survival Function
2. The Hazard Function
3. The Mean Residual Life Function and Median Life
4. Common Parametric Models for Survival Data

UNIT 3. CENSORING AND TRUNCATION

1. Right Censoring
2. Left Censoring
3. Interval Censoring
4. Likelihood Construction for Censored Data

UNIT 4. NONPARAMETRIC ESTIMATION OF BASIC QUANTITIES

1. Estimators of Survival and Cumulative Hazards Functions for Right Censored Data
2. Pointwise Confidence for Survival Function
3. Confidence Bands for the Survival

UNIT 5. HYPOTHESIS TESTING

1. One Sample Test with Right Censored Data
2. Tests for Two or More Sample
3. Stratified Tests
4. Renyi Type Tests

UNIT 6. SEMIPARAMETRIC PROPORTIONAL HAZARDS

1. Partial Likelihoods for Distinct – Event Time Date
2. Local Tests
3. Model Building Using the Proportional Hazards Model

UNIT 7. REGRESSION DIAGNOSTICS

1. Cox – Snell Residuals for Assessing the Fit of a Cox Model
2. Graphical Checks of the Proportional Hazards Assumption

UNIT 8. INFERENCE FOR PARAMETRIC REGRESSION MODELS

1. Weibull Distribution
2. Log Logistic Distribution