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.
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.
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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