In cancer parlance, metastasize is a four-letter word. Metastasis is when cancer cells break off of the primary tumor to surf the bloodstream and set up shop in new organs and body areas. Thankfully, ...

"The best description of Markov chains I've ever read is in chapter 15 of Programming Pearls: "A generator can make more interesting text by making each letter a random function of its predecessor. We ...

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 ...

Some of the algorithms that underlie commonplace technology today have their roots in the nineteenth century–like the Markov chain. The brainchild of Andrey Markov–who was himself born on this day in ...

A Markov chain is a sequence of random variables that satisfies P(X t+1 ∣X t ,X t−1 ,…,X 1 )=P(X t+1 ∣X t ). Simply put, it is a sequence in which X t+1 depends only on X t and appears before X t−1 ...

An asymptotic model for the extreme behavior of certain Markov chains is the 'tail chain'. Generally taking the form of a multiplicative random walk, it is useful in deriving extremal characteristics, ...

What Is Markov Chain Monte Carlo? Markov Chain Monte Carlo (MCMC) is a powerful technique used in statistics and various scientific fields to sample from complex probability distributions. It is ...