Markov Chains : The Strange Math That Predicts Almost Anything

Discover how Markov chains predict real systems, from Ulam and von Neumann’s Monte Carlo to PageRank, so you can grasp ...
JSTOR Daily

Level-Crossing Ordering of Semi-Markov Processes and Markov Chains

We extend the definition of level-crossing ordering of stochastic processes, proposed by Irle and Gani (2001), to the case in which the times to exceed levels are compared using an arbitrary ...
Nature

Monte Carlo Methods and Markov Chain Algorithms

Monte Carlo methods and Markov Chain algorithms have long been central to computational science, forming the backbone of numerical simulation in a variety of disciplines. These techniques employ ...
JSTOR Daily

On Transient Markov Chains with Application to the Uniqueness Problem for Markov Processes

We focus our attention herein on a Markov chain $x_0, x_1, \cdots$ with a countable number of states indexed by a subset I of the integers and with stationary ...
Forbes

Revealing Secrets Of Large Language Models And Generative AI Via Markov Chain Mathematics

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 ...
lse

Stochastic Processes

This course is compulsory on the BSc in Actuarial Science. This course is available on the BSc in Business Mathematics and Statistics, BSc in Financial Mathematics and Statistics, BSc in Mathematics ...
PBS

Can a Chess Piece Explain Markov Chains?

In this episode probability mathematics and chess collide. In this episode probability mathematics and chess collide. What is the average number of steps it would take before a randomly moving knight ...