Stochastic Process

Model Perspective

Oct 22, 2024 · Fundamentals

How Time‑Inhomogeneous Markov Chains Reveal Shifting Social Behaviors

By introducing time‑inhomogeneous Markov chains, this article shows how dynamic transition probabilities can model and predict evolving social behaviors such as online activity levels, illustrating the method with a three‑state user engagement example and visualizing future activity trends over a year.

Markov ChainPredictive AnalyticsSocial Behavior Modeling

0 likes · 6 min read

How Time‑Inhomogeneous Markov Chains Reveal Shifting Social Behaviors

Model Perspective

Nov 9, 2022 · Fundamentals

Understanding Markov Chains: From Basics to Convergence and Sampling

This article explains the fundamentals of Markov chains, illustrates their transition matrix with a market example, demonstrates convergence through Python code, and outlines how to use the stationary distribution for sampling in Monte Carlo simulations.

Markov ChainStochastic Processconvergence

0 likes · 9 min read

Understanding Markov Chains: From Basics to Convergence and Sampling

Model Perspective

Jun 11, 2022 · Fundamentals

Understanding Markov Chains: From Basics to Real-World Applications

This article introduces Markov chains, explains their definition, transition matrices, examples, Kolmogorov theorem, limiting distributions, and absorbing chains, showing how memoryless stochastic processes model diverse real‑world phenomena.

Absorbing ChainMarkov ChainStochastic Process

0 likes · 10 min read

Understanding Markov Chains: From Basics to Real-World Applications