Fundamentals 3 min read

Explore Key Probability & Monte Carlo Models: Curated Resource List

This article compiles recent resources on probability and statistical modeling, covering Monte Carlo simulation, Markov processes, queueing theory, and Bayesian methods, providing direct links to each detailed write‑up for students and researchers seeking comprehensive study material.

Model Perspective
Model Perspective
Model Perspective
Explore Key Probability & Monte Carlo Models: Curated Resource List

1. Probability Models

1.1 Monte Carlo Simulation

Model Simulation 05 Monte Carlo Simulation Introduction

Model Simulation 07 Monte Carlo Simulation – Mathematical Ideas

Model Simulation 08 Monte Carlo Simulation – Definite Integral Calculation

Model Simulation 09 Monte Carlo Simulation – Applications in Probability

Model Simulation 10 Monte Carlo Simulation – Finding Global Optimum

Model Simulation 11 Monte Carlo Simulation – Inventory Management Problem

Model Simulation 12 Monte Carlo Simulation – Queueing Problem

Model Simulation 13 Monte Carlo Simulation – Component Parameter Design

1.2 Markov Process

Probability Model 15 Overview of Markov Chains

Simulation Model 04 Markov Chain Model

Probability Model 04 Markov Chain Model – Piano Sales Storage Strategy

Probability Programming 20 Markov Sampling

Probability Programming 19 Non‑Markov Sampling

1.3 Queueing Theory

Simulation Model 01 Basic Concepts of Queueing Theory

Simulation Model 02 Single‑Server Queueing Model

Simulation Model 03 Multi‑Server Queueing Model

1.4 Bayesian Methods

Mathematics | Probability & Statistics 04 Bayes' Theorem

Prediction Model 07 Machine Learning – Naive Bayes Model

Probability & Statistics 39 Bayesian Single‑Parameter Inference

Probability & Statistics 38 Bayes' Theorem and Statistical Inference

Prediction Model 69 Bayesian Personalized Ranking (BPR) Algorithm

Probability & Statistics 30 PyMC3 Bayesian Regression

Probability & Statistics 28 Bayesian Linear Regression

Bayesian Network Modeling – Predicting Crime Occurrence

Bayesian Methods – The Three‑Door Problem

More model articles are being added; stay tuned.

monte carloBayesian methodsMarkov processprobability modelsqueueing theory
Model Perspective
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Model Perspective

Insights, knowledge, and enjoyment from a mathematical modeling researcher and educator. Hosted by Haihua Wang, a modeling instructor and author of "Clever Use of Chat for Mathematical Modeling", "Modeling: The Mathematics of Thinking", "Mathematical Modeling Practice: A Hands‑On Guide to Competitions", and co‑author of "Mathematical Modeling: Teaching Design and Cases".

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