survival model

• italic: Definition / About
• Bold: Property / Theorem
• Standard: Procedure / Example / Cheatsheet

Fundamentals

• Survival Time
• Censored Data
• Truncated Data

Survival Distribution Quantities

• Survival Function
• Hazard Function
  • Cumulative Hazard
• Mean Residual Life
• Mean Life
• Median Life
• Total Time on Test
• Theorem: Hazard Function Derivation
• Theorem: Mean Residual Life Formula
• Survival Quantities Cheatsheet

Parametric Models

• Exponential Distribution (Survival)
• Weibull Distribution (Survival)
• Gamma Distribution (Survival)
• Parametric Survival Distributions Cheatsheet

Censoring and Truncation

• Censored Data
• Truncated Data
• Types of Censoring
• Types of Truncation
• Likelihood for Censored Data
  • Left-Truncated Likelihood
  • Example: Right-Censored

Non-Parametric Estimation

• Kaplan-Meier Estimator
  • Greenwood’s Formula
  • Confidence Interval for Survival
• Nelson-Aalen Estimator
• Non-Parametric Estimation Cheatsheet

Hypothesis Testing

• One-Sample Log-Rank Test
• Log-Rank Test
  • K-Sample Test Procedure
  • Trend Test
  • Stratified Test
  • Example: Larynx Trend Test
• Hypothesis Testing Cheatsheet

Semiparametric Cox PH

• Cox Proportional Hazards Model
  • Dependency Graph
  • Hazard Ratio
  • Checking PH Assumption
  • Partial Likelihood
  • Likelihood with Ties
  • Cox PH Cheatsheet