Statistical Modeling & Regression · Non-Parametric Statistics

Nonparametric statistics · Resampling and permutation methods

Public introduction · full guide in Eikos

Introduction

What this guide covers

Introduction Introduction Advanced Computational Inference

Overview

Topics covered

  • Introduction
  • Non-Parametric Statistics: Resampling and Permutation Methods
  • Introduction to Non-Parametric Inference and Motivation
  • Analytical Foundations: Empirical Distribution and the Plug-in Principle
  • The Plug-in Principle and Statistical Functionals
  • The Bootstrap Method (Efron's Bootstrap)

Related concepts

Main connections

  • Calculus & differentiation
  • Bootstrap resampling
  • Variance & standard deviation
  • Permutation & exact tests
  • Skewness & kurtosis
  • Quantiles & percentiles

Compatible notation

Mathematical sample in LaTeX

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

F^n(x)=1n∑i=1n𝟙{Xi≤x},x∈ℝ
View LaTeX source\hat{F}_n(x) = \frac{1}{n} \sum_{i=1}^n \ind_{\{X_i \le x\}}, \quad x \in \R