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

Markov Process Representations of General Stochastic Processes

In this paper we show that any separable stochastic process on a compact metric space can be derived from a temporally homogeneous Markov process on the extreme points of a compact convex set of ...
Nature

Metastability and Random Walks in Stochastic Processes

Metastability and random walks constitute central paradigms in the study of stochastic processes, providing deep insights into transient phenomena and long-term dynamics in complex systems.
JSTOR Daily

Markov-Switching and Stochastic Volatility Diffusion Models of Short-Term Interest Rates

This article empirically compares the Markov-switching and stochastic volatility diffusion models of the short rate. The evidence supports the Markov-switching diffusion model. Estimates of the ...
mccormick.northwestern.edu

ELEC_ENG 422: Random Processes in Communications and Control I

CATALOG DESCRIPTION: Fundamentals of random variables; mean-squared estimation; limit theorems and convergence; definition of random processes; autocorrelation and stationarity; Gaussian and Poisson ...
Nature

Markov Chain Monte Carlo Methods

Markov Chain Monte Carlo (MCMC) methods have become indispensable in contemporary statistical science, enabling researchers to approximate complex probability distributions that are otherwise ...