The Research of Markov Chain Application under Two Common Real World Examples

Abstract Markov chain is a random process with Markov characteristics, which exists in the discrete index set and state space in probability theory and mathematical statistics. Based on probability theory, the Markov chain model is a quantitative prediction model for stationary random phenomena using autoregressive process methods. This article first introduces the Markov Chain and its related principles, then in order to study the applicability of Markov Chain, two common life situations are used in practical applications, and the conclusion that Markov Chain can accurately predict the probability is drawn; finally evaluated the Markov chain model and advocated for its wide application.