Nonparametric: Life table (Kaplan-Meier)

• Survival rates
• Hazard rates
• Standard errors for the hazard function
• Plot survival and hazard
• Median and mean survival time
• Variable number of intervals
• Intervals and individual data calculations
• Size of the risk set at the beginning of the period
• Stratification
• Log-rank test for homogeneity
• Generalized Wilcoxon tests for homogeneity

Semiparametric (Cox proportional hazard)

• Baseline hazard
• Covariates
• Stratification
• Plot survival, hazard and integrated hazard functions
• Keeping survival and integrated hazard values
• Time dependent covariates
• Ordered extreme value model
• Ties handled explicitly

Parametric models

• Distributions
• Weibull
• Exponential
• Lognormal
• Loglogistic
• Generalized log-gamma
• Generalized F
• Gompertz
• Inverse Gaussian
• Weibull/exponential with gamma heterogeneity
• Split population survival models
• Latent normally distributed heterogeneity (frailty)
• Censoring - left and right
• Truncation
• Keep survival probabilities and hazard rates
• Time dependent covariates
• Panel data models
• Fixed effects
• Random effects
• Random parameters
• Latent class
• Time varying covariates
• Robust covariance matrix (cluster)
• Restrictions and tests: Wald, LM, LR
• Stratification
• Weights
• Mean, median and percentiles of survival distribution (with limits)
• Predicted survival, hazard, integrated hazard (generalized residuals)
• Left and right truncation
• Heterogeneity (heteroscedasticity) in the scale parameter