Discover how Markov chains predict real systems, from Ulam and von Neumann’s Monte Carlo to PageRank, so you can grasp ...
Abstract Let πœ‰ = {πœ‰π‘›}𝑛β‰₯β‚€ be a Markov chain defined on a probability space (Ξ©, β„±, β„™) valued in a discrete topological space 𝑆 that consists of a finite number of real 𝑑 × π‘‘ matrices. As usual, ...
This paper presents a unified treatment of the convergence properties of non-homogeneous Markov systems under different sets of assumptions. First the periodic case is studied and the limiting ...
Markov chains and queueing theory together provide a robust framework for analysing systems that evolve randomly over time. Markov chains describe stochastic processes where the future state depends ...
Forbes contributors publish independent expert analyses and insights. Dr. Lance B. Eliot is a world-renowned AI scientist and consultant. In today’s column, I closely examine an innovative way of ...