---
title: "Introduction - The basics"
canonical: "https://modelassist.epixanalytics.com/space/EA/26574882/Introduction%20-%20The%20basics"
format: markdown
---
# The basics

  


This section explores some very basic theories of probability and statistics that are essential for risk analysis modeling We begin by looking at the concepts that are used in the mathematics of probability distributions. Then we define some basic statistics in common use. We look at a few probability concepts that are essential to understand if one is to be assured of producing logical models. This section is designed to offer a reference of statistical and probability concepts: the application of these principles is left to the appropriate section in ModelAssist.

  


1. Probability distribution equations
  - [Cumulative distribution function F(x) (cdf)](https://epixanalytics.atlassian.net/wiki/spaces/EA/pages/26574886/)
  - [Probability mass function f(x) or p(x) (pmf)](https://epixanalytics.atlassian.net/wiki/spaces/EA/pages/26574887/)
  - [Probability density function f(x) (pdf)](https://epixanalytics.atlassian.net/wiki/spaces/EA/pages/26574888/)
2. Descriptive parameters for probability distributions
  - Location:      [Mode](https://epixanalytics.atlassian.net/wiki/spaces/EA/pages/26574923/), [Median](https://epixanalytics.atlassian.net/wiki/spaces/EA/pages/26574924/), [Mean](https://epixanalytics.atlassian.net/wiki/spaces/EA/pages/26574925/)
  - Spread:        [Standard deviation](https://epixanalytics.atlassian.net/wiki/spaces/EA/pages/26574927/), [Variance](https://epixanalytics.atlassian.net/wiki/spaces/EA/pages/26574926/)
  - Shape:         [Skewness](https://epixanalytics.atlassian.net/wiki/spaces/EA/pages/26574928/), [Kurtosis](https://epixanalytics.atlassian.net/wiki/spaces/EA/pages/26574928/)
3. Probability rules and Venn diagrams
  - [Definition of probability](https://epixanalytics.atlassian.net/wiki/spaces/EA/pages/26574884/)
  - [Probability event notation](https://epixanalytics.atlassian.net/wiki/spaces/EA/pages/26574943/)
  - [Basic probability manipulation](https://epixanalytics.atlassian.net/wiki/spaces/EA/pages/26574944/)
  - [Conditional probability](https://epixanalytics.atlassian.net/wiki/spaces/EA/pages/26574945/)
  - [Venn diagrams](https://epixanalytics.atlassian.net/wiki/spaces/EA/pages/26574946/)
  - [Event trees](https://epixanalytics.atlassian.net/wiki/spaces/EA/pages/26574947/)
  - [Fault trees](https://epixanalytics.atlassian.net/wiki/spaces/EA/pages/26574948)
4. Probability theorems
  - [The Strong law of Large Numbers](https://epixanalytics.atlassian.net/wiki/spaces/EA/pages/26574952/)
  - [Central Limit Theorem (CLT)](https://epixanalytics.atlassian.net/wiki/spaces/EA/pages/26574953/)
  - [Binomial Theorem](https://epixanalytics.atlassian.net/wiki/spaces/EA/pages/26574954/)
  - [Bayes Theorem](https://epixanalytics.atlassian.net/wiki/spaces/EA/pages/26574955/)
5. modeling techniques
  - [Tchebysheffs Rule (or Theorem)](https://epixanalytics.atlassian.net/wiki/spaces/EA/pages/26574957/)
  - [Least Squares Regression](https://epixanalytics.atlassian.net/wiki/spaces/EA/pages/26574959/)
  - [Rank Order Correlation](https://epixanalytics.atlassian.net/wiki/spaces/EA/pages/26574960/)
  - [Taylor and Maclaurin Series Expansion](https://epixanalytics.atlassian.net/wiki/spaces/EA/pages/26574961/)