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

The Joint Probability Generating Function for Run-Lengths in Regenerative Binary Markov Chains, with Applications

This is a preview. Log in through your library . Abstract Gontcharov obtained the joint probability generating function for the numbers of runs of all lengths, both of successes and failures, in a ...
JSTOR Daily

A Time-Reversibility Relationship between Two Markov Chains with Exponential Stationary Distributions

This is a preview. Log in through your library . Abstract The stationary non-negative Markov chains {Yn} and {Xn} specified by the relations $Y_{n\,+\,1} = \min(Y_{n ...
Nature

High-Order Markov Chain Models and Applications

High-order Markov chain models extend the conventional framework by incorporating dependencies that span several previous states rather than solely the immediate past. This extension allows for a ...