Time Series, Health & Evidence Synthesis · Biostatistics & Clinical Trials

Computational Biostatistics: Simulation and Resampling-Based Inference — Theoretical-Practical Guide

Public introduction · full guide in Eikos

Introduction

What this guide covers

Introduction Introduction Non-Parametric Methods · Computational Linear Algebra

Overview

Topics covered

  • Introduction
  • Computational Biostatistics: Simulation and Inference Based on Resampling
  • Epistemology and Theoretical Foundations of Resampling
  • The Empirical Distribution Function (EFD)
  • The Plug-In Principle and the Bootstrap Analogy
  • Theoretical Limits and Inconsistencies of Resampling

Related concepts

Main connections

  • Bootstrap resampling
  • Permutation & exact tests
  • Confidence interval
  • Quantiles & percentiles
  • Bayes' theorem & priors
  • Calculus & differentiation

Compatible notation

Mathematical sample in LaTeX

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

F^n(x)=1n∑i=1n𝕀(Xi≤x)
View LaTeX source\hat{F}_n(x) = \frac{1}{n} \sum_{i=1}^n \mathbb{I}(X_i \leq x)