Introduction
What this guide covers
A rigorous treatise on the mathematical methodologies, computational algorithms, and statistical validations necessary to simulate univariate random variables with mathematical precision.
Overview
Topics covered
- Introduction
- Generation of Univariate Random Variables
- Pseudorandom Number Generators (PRNG)
- 1.1 Linear Congruential Generators (LCG)
- 1.2 The Mersenne Twister Algorithm (MT19937)
- Statistical Properties of the Standard Uniform Generator
Related concepts
Main connections
Compatible notation
Mathematical sample in LaTeX
The expression is rendered accessibly, with its LaTeX source preserved below.
View LaTeX source
X_{n+1} = (a X_n + c) \pmod m