Advanced & Applied Topics · Simulation & Monte Carlo Methods

Stochastic simulation: Applications in inference and optimization

Public introduction · full guide in Eikos

Introduction

What this guide covers

Introduction simulate |> generate_pseudorandom_() |> estimate_integrals () |> optimize_function () Introduction Computational Statistics · Expert Level

Overview

Topics covered

  • Introduction
  • Stochastic Simulation in Inference and Optimization
  • Stochastic Fundamentals of Simulation
  • Pseudorandom Number Generation
  • The Inverse Transformation Theorem
  • Monte Carlo Integration and Variance Reduction Methods

Related concepts

Main connections

  • Monte Carlo simulation
  • Variance & standard deviation
  • Markov chain Monte Carlo (MCMC)
  • Bootstrap resampling
  • Survey sampling methods
  • Calculus & differentiation

Compatible notation

Mathematical sample in LaTeX

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

Xn+1=(aXn+c)(modm)
View LaTeX sourceX_{n+1} = (a X_n + c) \pmod m