Time Series, Health & Evidence Synthesis · Survival Analysis & Event History

Survival analysis: parametric models in depth

Public introduction · full guide in Eikos

Introduction

What this guide covers

A mathematical and statistical treatise on formal time-to-event modeling under continuous distributions, data censoring, and maximum likelihood and Bayesian inference.

Overview

Topics covered

  • Introduction
  • Parametric Models and Structured Regression
  • Fundamental Concepts of Survival Analysis
  • 1.1 Definition of Basal Probability Functions
  • 1.2 Types of Censoring and Truncation
  • 1.2.1 Censoring of the Right

Related concepts

Main connections

  • Survival analysis & Kaplan-Meier
  • Maximum likelihood estimation
  • Calculus & differentiation
  • Variance & standard deviation
  • Bayes' theorem & priors
  • Residual analysis & diagnostics

Compatible notation

Mathematical sample in LaTeX

The expression is rendered accessibly, with its LaTeX source preserved below.

F(t)=ℙ(T≤t)=∫0tf(u)du
View LaTeX sourceF(t) = \mathbb{P}(T \leq t) = \int_0^t f(u) \, du